PLS HELP ME 10 PTS AND BRAINLY

PLS HELP ME 10 PTS AND BRAINLY

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Because hours times 95 equals your miles

Answer 2

Answer:

I think its A but im not sure if not a its b

Step-by-step explanation:


Related Questions

How do I solve for the missing side in this special triangle?

How do I solve for the missing side in this special triangle?

Answers

Answer:

x = 5

Step-by-step explanation:

According to Pythagorean Theorem, you would do a^2+b^2=c^2, which substitutes to 3^2+4^2=c^2, 9+16=c^2, 25=c^2, and finally, c = 5.

If f(x) = x4 âÂ’ x3 x2 and g(x) = âÂ’x2, where x ≠ 0, what is (f â„g)(x)?.

Answers

The composite function is \(f\circ g(x) = x^8+x^6+x^4\)

Given that \(f(x)=x^4+x^3+x^2\) and \(g(x)=x^2\).

We need to calculate \(f\circ g(x)\) which is a composite function.

If two functions are given and we create another function by using the given functions, then the new function is called composite function.

So to calculate the composite function, put the value of \(g(x) = x^2\) in the function \(f(x)\).

\(f\circ g(x) = (x^2)^4+(x^2)^3+(x^2)^2\)

\(f\circ g(x) = x^8+x^6+x^4\)

Hence the composite function is \(f\circ g(x) = x^8+x^6+x^4\).

For more details, follow the link given below.

https://brainly.com/question/17299449.

Complete the table:

a. 1
c. 2
b. -1
d. 0

Complete the table:a. 1c. 2b. -1d. 0

Answers

Answer:

cos0 = 1

cos90 =0

so a for the first one and d for the other

Answer:

The answer is -1

Step-by-step explanation:

:)

Please help me with this please.

Please help me with this please.

Answers

Answer:

f(-2) = -1

f(0) = -5

f(4) = -1

Step-by-step explanation:

The number inside of f( ) is telling you which equation to use to get the answer.

Example:

f(-2) since -2 is less than 0 you would use (x^2) - 5. So, ((-2)^2) - 5 = 4-5 = -1

f(0) since 0 is less than or equal to 0 you would use (x^2) - 5 again. So, ((0)^2) - 5 = 0-5 = -5

f(4) since 4 is grater than 3 you would use (2^(x-1)) - 9. So, (2^(4-1)) - 9 =  -1

The Graph, try to make it as straight as possible

Please help me with this please.

David drives from his home to the airport to catch a flight. He drives 35 miles in the first hour,
but realizes that he will be 1 hour late if he continues at this speed. He increases his speed by 15
miles per hour for the rest of the way to the airport and arrives 30 minutes early. How many miles
is the airport from his home?
(A) 140 (B) 175 (C) 210 (D) 245 (E) 280

Answers

If David drives from his home to the airport to catch a flight. He drives 35 miles in the first hour, but realizes that he will be 1 hour late if he continues at this speed. The number of miles that is the airport from his home is 210.

How to find the distance?

Let d represent the distance that is needed to travel 1 hour

1 hour late decreased to 0.5 hours early = 1.5

Hence,

d/50 + 1.5 = d/35

Simplify

7d + 525 =10d

Collect like terms

525 = 10d - 7d

525 = 3d

Divide both side by 3d

d = 525/3

d = 175

Total number of miles :

Total number of miles = 175 + 35

Total number of miles = 210

Therefore we can conclude that the correct option is C.

Learn more about distance here:https://brainly.com/question/26550516

#SPJ1

Linear vs non linear functions

I’m completely confused on how to do linear vs non linear functions. Does anyone have step by step on how to do them?

Answers

Answer:

A linear function has a constant rate of change. A nonlinear function does not

Also, Lnear functions show a straight line when they are graphed and nonlinear functions don't.

My advice is to graph it and look at the points.

Good luck! Pls give brainliest!

Answer:

See Picture & I hope this helps!:)

Step-by-step explanation:

Linear vs non linear functionsIm completely confused on how to do linear vs non linear functions. Does

Question 4 of 10
Which of the following could be the ratio between the lengths of the two legs
of a 30-60-90 triangle?
Check all that apply.
□A. √2:√2
B. 15
□ C. √√√√5
□ D. 12
DE √3:3
OF. √2:√5
←PREVIOUS
SUBMIT

Question 4 of 10Which of the following could be the ratio between the lengths of the two legsof a 30-60-90

Answers

The ratios that could be the lengths of the two legs in a 30-60-90 triangle are √3:3 (option E) and 12√3 (option D).

In a 30-60-90 triangle, the angles are in the ratio of 1:2:3. The sides of this triangle are in a specific ratio that is consistent for all triangles with these angles. Let's analyze the given options to determine which ones could be the ratio between the lengths of the two legs.

A. √2:√2

The ratio √2:√2 simplifies to 1:1, which is not the correct ratio for a 30-60-90 triangle. Therefore, option A is not applicable.

B. 15

This is a specific value and not a ratio. Therefore, option B is not applicable.

C. √√√√5

The expression √√√√5 is not a well-defined mathematical operation. Therefore, option C is not applicable.

D. 12√3

This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which simplifies to √3:3. Therefore, option D is applicable.

E. √3:3

This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which is equivalent to √3:3. Therefore, option E is applicable.

F. √2:√5

This ratio does not match the ratio of the sides in a 30-60-90 triangle. Therefore, option F is not applicable. So, the correct option is D. 1 √2.

For more such questions on lengths

https://brainly.com/question/28322552

#SPJ8

Sarah wants to predict how many T-shirts your homeroom will sell. She wants to compute the mean number of T-shirts sold by the other homerooms to do this. David says Sarah should use the median instead of the mean.

Explain how the other homerooms' data support David's claim.

Mrs. Ashe 1434

Mrs. Garcia 740

Mr. Jackson 1696

Mr. Oliver 1517

Ms. Zang 1368

Answers

David suggests that the median be used instead of the mean to o predict how many T-shirts your homeroom will sell because it gives a better estimate of the number of T-shirts the other homerooms sold.

The median is not affected by unusually high or low values, so it shows a more reliable prediction. From the data, the median number of T-shirts sold by the other homerooms is 1434.

How to distinguish between the median and the mean?

The median is the middle value of the data when you arrange it in order, while the mean is the average of all the values.

Example:

If we arrange the number in ascending order:

Mrs. Garcia: 740

Ms. Zang: 1368

Mrs. Ashe: 1434

Mr. Oliver: 1517

Mr. Jackson: 1696

Here, 1434 is the Median.

The median doesn't change much if there are some really big or small values, so it's better for data with unusual numbers.

However, the mean considers all the values, but it can be affected by extreme numbers.

Read more about mean and median at brainly.com/question/26177250

#SPJ1

Which of Polygons B, C, D, E, and F are similar to Polygon A? Select all that apply. Recall
that similar means same shape and different sizes. The figures do not need to be
oriented the same way.

Which of Polygons B, C, D, E, and F are similar to Polygon A? Select all that apply. Recallthat similar

Answers

Answer: A, D, F

The guy above me is wrong.

Please help explanation if possible

Please help explanation if possible

Answers

Answer:

x=-2 y=3

Step-by-step explanation:

you should multiple second equation by -5 and collect all terms then put -2 from x

The answer to this equation is 3

Which of the following statements is true of the polynomial x2 + 6x3 − 4 + 2x5?
A. The degree of the polynomial is 1.
B. The end behavior of the polynomial is similar to f(x) = –x.
C. The polynomial in standard form is 2x5 + 6x3 + x2 − 4.
D. The polynomial is increasing for all real numbers.

Answers

Answer:

The correct option is;

C. The polynomial in standard form is 2·x⁵ + 6x³ + x² - 4

Step-by-step explanation:

The given polynomial is x² + 6x³ - 4 + 2·x⁵

Therefore, we have;

The highest power in the polynomial is 5, therefore, the degree of the polynomial is 5

The end behavior is f(x) → ∞ as x → ∞ and f(x) → - ∞ as x → -∞ which is not similar to f(x) = -x

The standard form is accomplished by arranging the polynomial in decreasing powers of x that is rom the biggest too lowest exponent as follows;

2·x⁵ + 6x³ + x² - 4

The polynomial decreases fox x < 0

Degree of polynomial is the highest power written in the equation

thus the correct answer is C for the question

Explanation

The equation is written in the form of lowest power to higher power x²+6x³-4+2\(x^{5}\) The correct form is highest to lowest power 2\(x^{5}\)+6x³+x²-4

Thus we conclude that the answer to the above question C

To know more about degree of polynomial

https://brainly.com/question/20368118

Nora made 3 gallons of lemonade.
Which of the following can be used to find the number of pints of lemonade that Nora made?

A 3x2x2
B 3x4x2
C 3x3x2
D 3x4x3

Answers

Answer is B- 3x4x2

Step by step

Given
Size of lemonade = 3 gallons
Number of pint =?
To solve this question, we have to convert 3 gallon
to its equivalence in pints
First, it should be noted that, from the standard rate
of conversion
1 gallon is equivalent to 8 pints;
i,e.
1 gallon = 8 pints.
If the above statement is true, then we get the
corresponding value of 3 pints by multiplying 3 to
both sides of the equation
3*1 gallon = 3* 8 pints
3 gallons =3* 8 pints (Expanding 8 in terms of 2's)
3 gallons =3* 2 * 2 * 2 pints (Multiply 2 by 2)
3 gallons = 3 * 4 * 2 pints
Hence, the number of pints that correspond to 3
gallons of lemonade made by Nora is 3 * 4 * 2

3x 3(x y)3x 3(x y)3, x, plus, 3, (, x, plus, y, )? choose all answers that apply: choose all answers that apply:

Answers

x is present in the algebraic expression, therefore, option A is correct.- x is present in the expression, therefore, option B is correct.- x + y is present in the expression, therefore, option D is correct.

The given expression is: 3x[3(x + y)]^3x[3(x + y)]^3 × (x + 3)(x + y)

To simplify the given expression, we will first solve the expression within the brackets as follows:

(3(x + y))^3 = (3)³(x + y)³ = 27(x + y)³

Now, we will substitute the above value in the expression:

3x[3(x + y)]^3 = 3

x × 27(x + y)³ = 81x(x + y)³

Multiplying both terms of (x + 3)(x + y), we get:

(x + 3)(x + y)

= x(x + y) + 3(x + y) + 3y

= x² + xy + 3x + 3y + yx + 3y

= x² + 4xy + 6y + 3x

The final expression after substituting the value of 3x[3(x + y)]^3 and (x + 3)(x + y) is:

81x(x + y)³ × (x² + 4xy + 6y + 3x)

= 81x(x + y)³x² + 81xy(x + y) + 6xy + 27x(x + y)

= 81x³ + 189xy² + 81x²y + 6xy + 27x² + 81xy

Now, let's check which options are correct:- 3x is present in the expression, therefore, option A is correct.- x is present in the expression, therefore, option B is correct.- x + y is present in the expression, therefore, option D is correct.

Learn more about algebraic expression visit:

brainly.com/question/28884894

#SPJ11

Is this correct? I don’t think it is at all lol. Help me please!

Is this correct? I dont think it is at all lol. Help me please!

Answers

Keith's bank account starts with $250 and he adds $150 to it every month. If m is the number of months that have passed, then the amount of money (in dollars) in his account is given by

250 + 150m

Victoria's account starts with $2000 and she removes half of it each month. So after m months, her account has a value of

2000/2^m

If you were to plot these amounts, then

(a) Keith's account's value is indeed linear - TRUE

(b) Keith is constantly adding money to his account, so its value is increasing - FALSE

(c) Victoria's account's value involves an exponential expression - TRUE

(d) Victoria is removing money, so the value is decreasing - TRUE

Your answers are correct except for (c).

Three highways connect the centers of three towns and form a triangle. A cell phone company wants to place a new cell tower so that it is the same distance from the centers of the three towns. How can the company find where to place the tower? Explain.

Answers

The place where the company should place the tower should be the circumcenter of the area.

How to find the point to place the tower ?

The circumcenter denotes the precise point where the perpendicular bisectors of each triangle's sides intersect.

To ascertain the circumcenter, a systematic procedure is followed. First, the company must draw straight lines connecting the respective centers of the towns, effectively forming the triangular shape. Subsequently, the midpoints of each triangle's sides are determined by measuring and dividing the length of each line segment by two.

These midpoints serve as vital reference points in the subsequent steps. By extending lines perpendicular to the sides at their respective midpoints, the perpendicular bisectors are established. These bisectors intersect at a singular point, which signifies the circumcenter and serves as the optimal placement for the cell tower.

Find out more on circumcenters at https://brainly.com/question/30099911

#SPJ1

Select the correct locations on the graph.
Select the lines that represent functions.

Select the correct locations on the graph.Select the lines that represent functions.

Answers

Answer:

The line on the bottom and and the parabola on the top are functions.

Step-by-step explanation:

A function is when there is only one y value for each x value.

The Circle:

Take x = 5 for example. When you look there, there are two y-values for x=5:

y = -1 and y = 1. This is not possible, so the circle is not a function.

The Half-Circle:

Take x = 2 for example. When you look there, there are two y-values for x=2:  y = 2 and y = -1. This is not possible, so the half-circle is also not a function.

The Helix (on the far left side):

Take x = -4 for example. When you look there, there are two y-values for x=-4:  y = 4 and y = -3. This is not possible, so the helix is also not a function.

Able, Baker, and Charlie are the only three stocks in an index. The stocks sell for $37, $312, and $94, respectively. If Able undergoes a 3-for-4 reverse stock split, what is the new divisor?

Answers

In order to calculate the new divisor for a 3-for-4 reverse stock split, we must first calculate the new share price for Able. Since 3/4 of the shares are being replaced with just 1/4 of the old shares, the new price for Able will be $111 (3 x $37 = $111).

The divisor is used to calculate the new index value by dividing the sum of the new share prices by the divisor. Therefore, the new divisor will be 1.33 ($111 + $312 + $94 = $517 / 1.33 = $389.28). This is because the new share prices will total $517 and when you divide that by the divisor, the index value will be $389.28.

know more about divisor here

https://brainly.com/question/26086130#

#SPJ11

danny henry made a waffle on his six-inch-diameter circular griddle using batter containing a half a cup of flour. using the same batter, and knowing that all waffles have the same thickness, how many cups of flour would paul bunyan need for his -foot-diameter circular griddle?

Answers

Danny used half a cup of flour, so Paul Bunyan would need  2 cups of flour for his foot-diameter griddle.

To determine the number of cups of flour Paul Bunyan would need for his circular griddle, we need to compare the surface areas of the two griddles.

We know that Danny Henry's griddle has a diameter of six inches, which means its radius is three inches (since the radius is half the diameter). Thus, the surface area of Danny's griddle can be calculated using the formula for the area of a circle: A = πr², where A represents the area and r represents the radius. In this case, A = π(3²) = 9π square inches.

Now, let's calculate the radius of Paul Bunyan's griddle. We're given that it has a diameter in feet, so if we convert the diameter to inches (since we're using inches as the unit for the smaller griddle), we can determine the radius. Since there are 12 inches in a foot, a foot-diameter griddle would have a radius of six inches.

Using the same formula, the surface area of Paul Bunyan's griddle is A = π(6²) = 36π square inches.

To find the ratio between the surface areas of the two griddles, we divide the surface area of Paul Bunyan's griddle by the surface area of Danny Henry's griddle: (36π square inches) / (9π square inches) = 4.

Since the amount of flour required is directly proportional to the surface area of the griddle, Paul Bunyan would need four times the amount of flour Danny Henry used.

For more such questions on diameter

https://brainly.com/question/23220731

#SPJ8

help!! i will give you mark u brainlist, thank u!!

help!! i will give you mark u brainlist, thank u!!

Answers

According to asa you only need a pair of congruent sides

A circle has a radius of 11 ft. Find the radian measure of the central angle A degrees that intercepts an arc of length 5 ft. Do not round any intermediate computations, and round your answer to the nearest tenth.

Answers

Answer:

The answer is \(\frac{5}{11}\\\) = 0.45; rounded up(to the nearest tenth) is 0.5

Step-by-step explanation:

The angle measure of a circle in radians is 2\(\pi\).

First, find the circumference of the circle in terms of \(\pi\).

The formula for the circumference of a circle is 2\(\pi\)r (2 × \(\pi\) × radius)

Then find the ratio of the arc length of the central angle to the circumference.

Arc length of the central angle = 5.

Circumference = 22\(\pi\)

The ratio of the arc length of the central angle to the circumference is equal to  \(\frac{5}{22\pi }\)

Now use that ratio to find the central angle in radians by multiplying it by the angle measure of the circle in radians.

\(\frac{5}{22\pi }\) × 2\(\pi\) = 5/11

Round to the nearest tenth:

\(\frac{5}{11}\) ≈ 0.4545 = 0.5

Jacy has a collection of 140 coins worth $19.00. she has only nickels, dimes, and quarters. the difference in the number of dimes and the number of quarters is 10. using matrices, how many nickels are in jacy’s collection?

Answers

She has 38 nickels

N as the number of nickels, D as the number of dimes, and Q as the number of quarters.

She has 140 coins in total, so we can writen:

N + D + Q  = 140.

And the total value is $19.00

Then we have:

N*0.05 + D*0.10 + Q*0.25 = 19

And "The difference in the number of dimes and the number of quarters is 10."

D - Q = 10.

So we have a system of 3 equations and 3 variables:

N + D + Q  = 140

N*0.05 + D*0.10 + Q*0.25 = 19

D - Q = 10.

First, let's isolate one of the variables in the third equation, i will isolate D.

D = 10 + Q.

Now we can replace this in the other two equations:

N + (10 + Q) + Q = 140

N*0.05 + (10 + Q)*0.10 + Q*0.25 = 19.

Now we can isolate Q in the first equation:

N + 10 + 2*Q = 140

2*Q = 140 - 10 - N

Q = 130/2 - N/2. = 65 - N/2

Now we can replace this in the other equation:

N*0.05 + 10*0.10 + Q*(0.10 + 0.25) = 19

N*0.05 + 10*0.10 + (65 - N/2)*( 0.35) = 19

Now we can find the number of nickels.

N*0.05 + 1 + 22.75 - N*0.175 = 19

23.75 - N*(0.175 - 0.05)  = 19

23.75 - 19 = N*0.125

4.75/0.125 = N

38 = N

She has 38 nickels

To learn more about matrices from the given link

https://brainly.com/question/17537269

#SPJ4

The half life for a first order reaction is 20 min. What is the
rate constant in units of s-1?
Select one:

Answers

The rate constant for the first-order reaction is approximately 0.035 s⁻¹. The correct answer is B

To find the rate constant in units of s⁻¹ for a first-order reaction, we can use the relationship between the half-life (t1/2) and the rate constant (k).

The half-life for a first-order reaction is given by the formula:

t1/2 = (ln(2)) / k

Given that the half-life is 20 minutes, we can substitute this value into the equation:

20 = (ln(2)) / k

To solve for the rate constant (k), we can rearrange the equation:

k = (ln(2)) / 20

Using the natural logarithm of 2 (ln(2)) as approximately 0.693, we can calculate the rate constant:

k ≈ 0.693 / 20

k ≈ 0.03465 s⁻¹

Therefore, the rate constant for the first-order reaction is approximately 0.0345 s⁻¹. The correct answer is B

Your question is incomplete but most probably your full question was attached below

To know more about rate constant refer here:

brainly.com/question/15053008

#SPJ11

The half life for a first order reaction is 20 min. What is therate constant in units of s-1?Select one:

how many feet of granite was tunneled through to make tunnel no. 6 through the sierra nevada mountains?

Answers

Nearly 1,659 feet of granite was tunnelled through to make tunnel no. 6 through the sierra Nevada mountains.

Early snowfall prevented the Central Pacific from starting construction on Tunnel No. 6, or the Summit Tunnel, in August 1865. It was built using a variety of engineering and construction methods and was located more than seven thousand feet above sea level.

When the workmen finally broke through, they discovered that they were only two inches off from the calculations that were used to locate its end points and central shaft. The length of the tunnel that was built through the Sierra Nevada mountains is therefore given as nearly 1,659 feet of granite was tunnelled through to make tunnel no. 6 through the Sierra Nevada mountains.

Read more about granite on:

https://brainly.com/question/880155

#SPJ4

Order from least to greatest. You have to divided the denominator into the numerator.

3.51, 0.09, 1/5

Answers

Answer:

0.09, 1/5, 3.51

Step-by-step explanation:

0.09 is the smallest of all the numbers.

1/5 simplifies to 0.20, which is greater than 0.09

3.51 is greater than all others because it is the only number that contains a whole number.

-Chetan K

I need help, it is from my ACT prep guide I will add a picture with the answer options for the blank spaces

I need help, it is from my ACT prep guide I will add a picture with the answer options for the blank
I need help, it is from my ACT prep guide I will add a picture with the answer options for the blank

Answers

Given the equation below

\((y+5)^2=12(x+3)\)

Step 1: Write out the standard form of the equation of a parabola

The standard form is

\(undefined\)

When Tobey was born, his parents invested $2,000 in a fund that paid an annual interest of 6%. How old will Tobey be when the investment is worth at least $5,000?

Answers

So,  a 72-month loan with a 2 annual simple interest rate is the loan choice that would need her to repay the least amount of money.

What is interest rate ?

An interest rate informs you of how much borrowing will cost you and how much saving will pay off. Therefore, the interest rate is the amount you pay for borrowing money and is expressed as a percentage of the entire loan amount if you are a borrower.

According to the information provided, a 72-month loan with a 2 annual simple interest rate is the loan choice that would require her to repay the least amount of money. This is because the amount she would have to pay will be the least compared to other loan options.

\(Loan = 72 months (2per cent of $6,000)\\Loan = 120 for 72 months\\Loan =$8,640\\\)

a 72-month loan with a 2 yearly simple interest rate.

To know more about interest rate , visit

brainly.com/question/29262495

#SPJ1

please somebody this is due by 11:59 pm​

please somebody this is due by 11:59 pm

Answers

Answer:

The horizontal value in a pair of coordinates: how far along the point is. The X Coordinate is always written first in an ordered pair of coordinates (x,y), such as (12,5). In this example, the value "12" is the X Coordinate.

Angel b=angle a+angle c-180

We have now proven that all three angles of ΔABC have a measure of 60 degrees. Therfore, ∠C must have a measure of 60 degrees

Answer:

x = -15, angle b = 115, angle c = 30.

Step-by-step explanation:

The 3 sides of a triangle add up to 180, so the equation will be

35 - 5 - 8x - 2x = 180

30 - 10x = 180

Subtract 30 from both sides.

-10x = 150

Divide by -10.

x = -15.

Finding angle b:

-5 - 8x

-5 - 8(-15)

-5 + 120

115

Finding angle c:

-2x

-2(-15)

30

To check it, we add angle a, angle b, and angle c together.

35 + 115 + 30

150 + 30

180.

If f(x)=2x+4, which graph represents f-1(x)

If f(x)=2x+4, which graph represents f-1(x)

Answers

The graph of f-1(x) is (d)

How to determine the graph of f-1(x)

From the question, we have the following parameters that can be used in our computation:

f(x) = 2x + 4

This means that

y = 2x + 4

Swap x and y

So, we have

x = 2y + 4

Make y the subject

So, we have

y = 0.5x - 2

This equation is represented by graph (d)

Hence, the graph is (d)

Read more about function at

https://brainly.com/question/22340031

#SPJ1

Use trigonometric identities, algebraic methods, and inverse trigonometric functions, as necessary, to solve the following trigonometric equation on the interval [0, 28t).Round your answer to four decimal places, if necessary. If there is no solution, indicate "No Solution."- 15csc?(x) - 1 = -32cot(x)yea

Use trigonometric identities, algebraic methods, and inverse trigonometric functions, as necessary, to

Answers

To solve the equation:

\(-15\csc ^2x-1=-32\cot x\)

We meed to remember the identity:

\(\csc ^2x=\cot ^2x+1\)

Plugging this identity in the equation we have:

\(\begin{gathered} -15(\cot ^2x+1)-1=-32\cot x \\ -15\cot ^2x-15-1=-32\cot x \\ 15\cot ^2x-32\cot x+16=0 \end{gathered}\)

Hence we have the quadratic equation in the cotangent:

\(15\cot ^2x-32\cot x+16=0\)

To solve it let:

\(w=\cot x\)

Then we have the quadratic equation:

\(15w^2-32w+16=0\)

let's use the general formula to solve it:

\(\begin{gathered} w=\frac{-(-32)\pm\sqrt[]{(-32)^2-4(15)(16)}}{2(15)} \\ =\frac{32\pm\sqrt[]{1024-960}}{30} \\ =\frac{32\pm\sqrt[]{64}}{30} \\ =\frac{32\pm8}{30} \\ \text{then} \\ w=\frac{32+8}{30}=\frac{40}{30}=\frac{4}{3} \\ \text{ or } \\ w=\frac{32-8}{30}=\frac{24}{30}=\frac{4}{5} \end{gathered}\)

Once we know the value of w we can find the value of x, remember the definition of w, then we have:

\(\begin{gathered} \cot x=\frac{4}{3} \\ \text{ and} \\ \cot x=\frac{4}{5} \end{gathered}\)

Since it is easier to work with the tangent function we will use the fact that:

\(\tan x=\frac{1}{\cot x}\)

Hence our equations take the form:

\(\begin{gathered} \tan x=\frac{3}{4} \\ \text{and} \\ \tan x=\frac{5}{4} \end{gathered}\)

Finally to solve the equations we need to remember that the tangent function has a period of pi, therefore we have that:

\(\begin{gathered} x=\tan ^{-1}(\frac{3}{4})+\pi n \\ \text{and} \\ x=\tan ^{-1}(\frac{5}{4})+\pi n \end{gathered}\)

where n is any integer number. To find the solutions in the interval given we plug n=0 and n=1 in each expression for x; therefore, the solutions in the interval are:

\(\begin{gathered} x=0.6435 \\ x=0.8961 \\ x=3.7851 \\ x=4.0376 \end{gathered}\)

In a triangle, one acute angle is 33 degree. The adjacent side of angle 33 degree is 8 and opposite side is x. The largest side of the triangle is 15."/> find the value of x to the nearest tenth

Answers

The value of x, to the nearest tenth, is approximately 4.96. The steps involved using the tangent ratio and solving for the unknown side in a right triangle.

In a triangle, the angle opposite to the side x as angle A, and the side opposite to the angle 33° as side B, and the largest side as side C. So we have:

Angle A = 90° - 33° = 57° (since the sum of angles in a triangle is 180°)

Side B = 8

Side C = 15

Side x = ?

Write the formula for the tangent ratio in terms of the sides of the triangle. For angle A, we have:

tangent(A) = opposite/adjacent

Substitute the known values into the formula and solve for the unknown side. Substituting the values we have, we get

tangent(33°) = x/8

Multiplying both sides by 8, we get:

x = 8 * tangent(33°)

Use a calculator to find the value of the tangent of 33 degrees. We get:

tangent(33°) ≈ 0.6494

Substitute the value of the tangent into the formula we obtained in step 3 and solve for x. We get

x ≈ 8 * 0.6494

x ≈ 5.1952

Round the answer to the nearest tenth, since the question asks for the value of x to the nearest tenth. We get

x ≈ 4.96

Therefore, the value of x, to the nearest tenth, is approximately 4.96.

To know more about Trigonometric Ratio:

https://brainly.com/question/31511603

#SPJ1

Other Questions
washington gladden, a leader in the social gospel movement, defended? A. less fortunate peopleB. wealthy peopleC. the growth of monopoliesD. the idea of laissez-faire policies. Dane, age 62, retired and began receiving retirement benefits on January 1, 2021. The benefits will be paid for the joint lives of Dane and his wife, Sersi, age 67. Dane had $40,300 in after-tax contributions to his qualified plan and had received no distributions prior to retirement. What is their monthly excludable tax-free amount?. If x = -2, which inequality is true?2x + 6 < -12x - 3 > 6-5 + 3x > 13 - x < 10 Jeff said that the absolute values of the numbers represented by the two points are different. Taylor said that the absolute values of the numbers represented by the two points are the same. Which of the following explains who is correct? (A) Jeff, because the points are of different signs (B) Jeff, because the points are at different locations (C) Taylor, because each of the two points is 7/8 unit from 0 (D) Taylor, because the distance between the two points is 7/8 unit Find a vector parameterization for the line passing through the origin and perpendicular to the xz-plane? (Use f for the parameterized variable.) Raul wants to be a millionaire in 30 years. He can earn 12.5% return on investment. How much does he have to put aside for investing each year in order achieve the goal? If he wants to spend $100,000 each year after retirement, assume he lives for 20 years after retirement, how much must he earn in return for investment (round to the nearest 2 decimal points) after retirement? 30) The document that was the colonies' last attempt at a peaceful end to the crisiswas theA. Holly Branch TreatyC. Olive Tree PetitionB. Olive Branch TreatyI D. Olive Branch Petition The costs related to resolving customer complaints, lost sales and redoing services are examples of:a.internal failure costsb.Jurans Costs of Poor Qualityc.external failure costsd.b and c Graph the image of the given triangle, translated by the rule X,Y > (X + 2, Y - 7.) You need to buy new soil for your garden. Find the area of the garden. Use the dimensions shown in the picture.A triangle with side lengths 16.75 meters, 11.5 meters, and 19 meters. The height of the triangle is 10 meters.CLEAR CHECK95 square meters190 square meters47.25 square meters57.25 square meters Select from the following list of statements all of the ways in which meiosis II differs from meiosis I. Check All That Apply Interkinesis doesn't involve the replication of chromosomes, whereas interphase does. Interkinesis doesn't involve the replication of chromosomes, whereas interphase does. Crossing-over doesn't occur in prophase II, whereas it does in prophase I. Crossing-over doesn't occur in prophase II, whereas it does in prophase I. Cells in meiosis II are haploid and cells in meiosis I are diploid. Cells in meiosis II are haploid and cells in meiosis I are diploid. Sister chromatids separate in anaphase II, whereas homologous chromosomes separate in anaphase I. Why do Komodo dragons and red-tailed boas have so many differences, even though they share acommon ancestor?Komodo dragon differences legsjagged teetharmored skinsomewhat flexible bodyjaw not flexibleRed tailed boas differencesno legsteeth not jaggedno armored skinvery flexible bodyflexible jaw that can open very wide why might a firm continue to produce in the short run even though the market price is less than its average total cost? Write electron configurations for each of the following elements. Use the symbol of the previous noble gas in brackets to represent the core electrons. GaExpress your answer in condensed form in order of increasing orbital energy as a string without blank space between orbitals. For example, [He]2s^22p^2 should be entered as [He]2s^22p^2. Write a function rule for the area of a rectangle whose length is 5in. more than its width. what is the area of the rectangle when its width is 8in.? Also known as Geworfenheit, ________ refers to the time, place, and circumstances into which you happened to be born. on the screen you are looking at the printed words would be referred to in just salt psychology asthma The perimeter of an envelope is 30 inches. It is 6 inches tall. How wide is it? what transition word introduces one or more examples of an idea that was just mentioned? Balance the following chemical equations