Answer:
A
Step-by-step explanation:
Because hours times 95 equals your miles
Answer:
I think its A but im not sure if not a its b
Step-by-step explanation:
How do I solve for the missing side in this special triangle?
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)?.
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 \(f\circ g(x) = x^8+x^6+x^4\).
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Complete the table:
a. 1
c. 2
b. -1
d. 0
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.
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
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
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.
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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?
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:
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
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.
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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
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.
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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.
Answer: A, D, F
The guy above me is wrong.
Please help explanation if possible
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
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.
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+x²-4Thus we conclude that the answer to the above question C
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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
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:
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.
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Is this correct? I don’t think it is at all lol. Help me please!
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.
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.
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Select the correct locations on the graph.
Select the lines that represent functions.
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?
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.
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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?
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.
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help!! i will give you mark u brainlist, thank u!!
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.
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?
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
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The half life for a first order reaction is 20 min. What is the
rate constant in units of s-1?
Select one:
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
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how many feet of granite was tunneled through to make tunnel no. 6 through the sierra nevada mountains?
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.
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Order from least to greatest. You have to divided the denominator into the numerator.
3.51, 0.09, 1/5
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
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?
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.
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please somebody this is due by 11:59 pm
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)
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)
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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
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
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.
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