MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. It there is no solution, enter NO SOLUTION.) sin(0) - sin() + Need Help? Read Watch MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 24. (-/1 Points) DETAILS SPRECALC7 7.4.051. Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate 11 there is no solution, enter NO SOLUTION.) sin(e)(2 sin(8) + 1) = 0 8 =

Answers

Answer 1

The answer is e = kπ, 7π/6 + 2kπ, or 11π/6 + 2kπ, where k is any integer. This can be answered by the concept of Trigonometry.

The task requires solving the given trigonometric equation and presenting the answer as a comma-separated list, rounded to three decimal places if necessary. The equation is sin(e)(2 sin(8) + 1) = 0, where k can be any integer. If there is no solution, the answer should be NO SOLUTION.

To solve the equation sin(e)(2 sin(8) + 1) = 0, we need to find the values of e that make the equation true. According to the zero-product property, the equation is true if either sin(e) = 0 or 2 sin(8) + 1 = 0.

If sin(e) = 0, then e can be any integer multiple of π, i.e., e = kπ, where k is any integer.

If 2 sin(8) + 1 = 0, then 2 sin(8) = -1, and sin(8) = -1/2. From the unit circle, we know that sin(8) = -1/2 at two angles: 7π/6 and 11π/6. Therefore, e can be either 7π/6 + 2kπ or 11π/6 + 2kπ, where k is any integer.

Putting the two cases together, we get the solutions e = kπ, 7π/6 + 2kπ, or 11π/6 + 2kπ, where k is any integer.

Therefore, the answer is e = kπ, 7π/6 + 2kπ, or 11π/6 + 2kπ, where k is any integer.

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Related Questions

What energy transfer is occurring when a battery-powered toy rolls across the floor?
(3 points)
1) Stored mechanical energy is converted to thermal energy.
2) Stored mechanical energy is converted to mechanical energy.
3) Stored chemical energy is converted to thermal energy.
4) Stored chemical energy is converted to mechanical energy.

Answers

Answer:

  4) Stored chemical energy is converted to mechanical energy.

Step-by-step explanation:

The battery represents energy stored in the form of chemical compounds. The motion represents mechanical energy. The transfer occurs between these forms of energy.

  4) Stored chemical energy is converted to mechanical energy.

what is a congruent polygon​

Answers

A congruent polygon refers to two or more polygons that have the same shape and size. There must be an equal number of sides between two polygons for them to be congruent.

Congruent polygons have parallel sides of equal length and parallel angles of similar magnitude. When two polygons are congruent, they can be superimposed on one another using translations, rotations, and reflections without affecting their appearance or dimensions. Concluding about the matching sides, shapes, angles, and other geometric properties of congruent polygons allows us to draw conclusions about them.

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Help me solve these please

Help me solve these please

Answers

Answer:

See picture below

Step-by-step explanation:

Help me solve these please

Answer:

7. 2^-5= 1/2^5= 1/32

8. (4/5)^-3= (5/4)^3=125/64

9. 8^-4/8^-7=8^-4+(-7)=8^11=216

10. (1/3)^-2 x (1/3)^2=(1/3)^-2+2=(1/3)^0=1

how is the size of a sample related to the spread of the sampling distribution

Answers

The spread of the sampling distribution is equal to the standard deviation divided by the square root of the sample size.

What is sample size?

The sample size is defined as the number of observations used to estimate a given population. The population was used to determine the size of the sample. The process of selecting a subset of individuals from a population to estimate the characteristics of the entire population is known as sampling. For analysis, the number of entities in a subset of a population is chosen.

The spread of the sampling distribution is proportional to the spread of the sample and its size. We calculate the spread of the sampling distribution as the population standard deviation divided by the square root of the sample size.

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You said your solution was (6,32) what is the meaning of this solution in term of the problem

You said your solution was (6,32) what is the meaning of this solution in term of the problem

Answers

The solution to the equation can be given as;

x = 6

y = 32

What is the solution of the problem?

We have to note that when we solve a problem, the values that we get at the end of the solution of the problem is (x,y). We can see that as we obtain the solutions, we would have to get the values of x and y.

In this case, we have been told that the solution to the problem have been given as (6,32). These are the points that yield the solution to the problem. As such we have;

x = 6

y = 32

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Brainliest for the CORRECT ANSWER
Whats the answer for this?

Brainliest for the CORRECT ANSWERWhats the answer for this?

Answers

Answer:

C. 6 units

Step-by-step explanation:

It is a translation, so the length of the sides are not being affected since the entire shape is being moved.

Answer:

C. 6 units

Step-by-step explanation:

The second triangle is a translation of the first. A translation is a figure the slides up, down, left, right, etc. Essentially, it changes it's location.

A translation does not change it's size!

Therefore, it would still be the same length as AC, which was 6 units.

I hope this helps! :)

Suppose $m$ is a two-digit positive integer such that $6^{-1}\pmod m$ exists and $6^{-1}\equiv 6^2\pmod m$. What is $m$

Answers

The value of $m$ is $43$.

The equation $6^{-1}\equiv 6^2\pmod m$ implies that $6^{-1}$ is a valid inverse of $6$ modulo $m$. This means that multiplying $6^{-1}$ by $6$ must result in the remainder $1$ when divided by $m$.

To find the value of $m$, we can then set up the equation:

                                $0\equiv 215\pmod m$

and find all possible values of $m$ that make this equation true.

Multiplying $6^{-1}\equiv 6^2\pmod m$ by $6$, we get $1\equiv 6^3\pmod m$, so $0\equiv 215\pmod m$. So, $m$ must be a divisor of $215$. The only 2-digit divisor of $215$ is $43$.

Therefore, $m$ is a two-digit number, the only possible value of $m$ is $43$.

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A random sample of 64 sat scores of students applying for merit scholarships showed an average of 1400 with a standard deviation of 240. the 95onfidence interval for the population mean sat score is: ________
a. 1.96. b. 1.998.
c. 1.645. d. 1.28.

Answers

The 95% confidence interval for the population mean SAT score is given as follows:

(1340, 1460).

How to calculate the confidence interval?

The confidence interval is calculated using the t-distribution, as the standard deviation for the population is not known, only for the sample.

The bounds are obtained according to the equation defined as follows:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

In which the variables of the equation are presented as follows:

\(\overline{x}\) is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.

In the context of this problem, the values of these parameters are given as follows:

\(\overline{x} = 1400, n = 64, s = 240\)

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 64 - 1 = 63 df, is t = 1.998.

Then the lower bound of the interval is of:

1400 - 1.998 x 240/sqrt(64) = 1340.

The upper bound of the interval is of:

1400 + 1.998 x 240/sqrt(64) = 1460.

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I would like to know the answer to this question

I would like to know the answer to this question

Answers

3.96
just divide it by 4

)) The perimeter of the surface of a rectangular table is 18 feet. The table is 3 feet wide. How long is it?​

Answers

Answer:

6 feet long

Step-by-step explanation:

Perimeter = (2 * length) + (2 * width)

18 = (2 * length) + (2 * 3)

18 = (2 * length) + 6

2 * length =18 - 6

2 length = 12

length = 12/2

length = 6

Hope this helps!

Pls mark brainliest :)

y=[ ? ]
please help me!!

y=[ ? ]please help me!!

Answers

48+2x=180. Straight angle
2x=132
X=66

Z+x+90=180. In the right triangle
Z+66+90=180
Z=24


In the big triangle
Y+z+(48+x)=180
Y+24+114=180
Y=42


Find the nth term of the following sequence:

5, 20, 45, 80, 125

Answers

Answer:

So, 5, 20, 45, 80,...5N2

Step-by-step explanation:

Divide the sequence by 5 and the answer becomes very obvious:

EX: 1, 4, 9, 16,...N2

quadratic sequence formula : an^2+bn+c

2nd difference 2a = 10
a = 5

1st difference 3a+b = 15
substitute 5 into a
3(5)+b = 15
b = 0

nth term rule : a + b + c = 5
substitute a and b values into equation
5 + 0 + c = 5
c = 0

nth term : 5n^2

A rectangular bakery is 37 feet wide and 70 feet long. What is its perimeter?

Answers

Answer:

214 ft

Step-by-step explanation:

P = 2(L + W)

P = 2(70 + 37)

P = 2(107)

P = 214 ft

Which is an equation of a direct proportion?

A. =1/3−2
B. =3/
C. =−3+4
D. =−3

Answers

Answer:

D. y=-3x

Step-by-step explanation:

Direct Proportion

A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:

\(\displaystyle \frac{y}{x}=k\)

Where k is the constant of proportionality.

Solving for y:

y=kx

The only choice representing a direct proportion is:

D. y=-3x

Answer:

D

Step-by-step explanation:

Find each angle measure

Find each angle measure

Answers

Answer:

1. 26

2. 51

3. 39

4. 64

5. 77

6. 103

7. 77

8. 39

9. 51

10. 116

its 3am im tired asl

Step-by-step explanation:

for 1 u just subtract 64 from 90 bcz its a right angle

for 2 u add 1 and 103 then subtract from 180

for 7 u subtract 103 from 180

for 8 u add 64 with 7 then subtract from 180

for 9 u subtract the number u found for 8 from 90

for 3 its alternate to 8. so its the same angle which is 39°

for 6 its a cross any cross u see are the same opposite angles every time

for 5 its the same explantion as 6...

for 4 u add 3.. and 5.. angles together and subtract from 180

for 10 u subtract the number u find for 4 from 180 to find 10

lauren has started a business baking cupcakes she calculated it takes one person 6 1/2 minutes to frost each batch how many minutes will it take her and 4 friends to prepare 20 batches of cupcakes if everyone frosts batches at the same rate

Answers

It will take Lauren and her 4 friends a total of 26 minutes to prepare 20 batches of cupcakes if everyone frosts batches at the same rate.

If it takes one person 6 1/2 minutes to frost each batch of cupcakes, we can calculate the time it will take for Lauren and 4 friends to frost 20 batches of cupcakes.

First, we need to find the total time it takes for one batch of cupcakes to be frosted by one person:

1 batch = 6 1/2 minutes = 6.5 minutes

Now, we can calculate the total time it will take to frost 20 batches of cupcakes by one person:

Total time for 20 batches = 20 batches * 6.5 minutes/batch = 130 minutes

Since Lauren and her 4 friends are frosting cupcakes at the same rate, the total time it will take for them to frost 20 batches of cupcakes will be divided by the number of people, which is 5 (Lauren + 4 friends):

Total time for 20 batches with 5 people = 130 minutes / 5 = 26 minutes

Therefore, it will take Lauren and her 4 friends a total of 26 minutes to prepare 20 batches of cupcakes if everyone frosts batches at the same rate.

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on average, eli has noticed that 21 trains pass by his house daily (24 hours) on the nearby train tracks. what is the probability that at most 4 trains will pass his house in a 9-hour time period? (round your answer to three decimal places.)

Answers

The probability that at most 4 trains will pass Eli's house in a 9-hour time period is approximately 0.117.

]
To solve this problem, we can use the Poisson distribution formula. The Poisson distribution is commonly used to model the number of events occurring in a fixed interval of time or space.
The formula for the Poisson distribution is:
P(x) = (e^(-λ) * λ^x) / x!
Where P(x) is the probability of x events occurring, e is the base of the natural logarithm (approximately 2.71828), λ is the average number of events per interval, and x is the number of events we are interested in.
In this case, the average number of trains passing Eli's house in a 9-hour time period can be found by multiplying the average number of trains passing in a 24-hour period (21) by the ratio of the time periods:
λ = (9/24) * 21 = 7.875
Now we can calculate the probability of at most 4 trains passing Eli's house in a 9-hour time period:
P(0) = (e^(-7.875) * 7.875^0) / 0! = e^(-7.875) ≈ 0.00043
P(1) = (e^(-7.875) * 7.875^1) / 1! = 0.00338
P(2) = (e^(-7.875) * 7.875^2) / 2! = 0.01329
P(3) = (e^(-7.875) * 7.875^3) / 3! = 0.03500
P(4) = (e^(-7.875) * 7.875^4) / 4! = 0.06491
To find the probability of at most 4 trains passing, we sum the individual probabilities:
P(at most 4) = P(0) + P(1) + P(2) + P(3) + P(4) ≈ 0.11701

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If today is saturday , what day of week will it be 150 days from today ??

Answers

May be Tuesday ? 150-147=3

Saturday plus 3 days is just Tuesday

Matthew scored 84 points in the first 6 games of the basketball season. How many points per game has Matthew scored?​

Answers

Answer:

He scored 14 points per game.

84/6

Step-by-step explanation:

Good luck!

Answer:

14

Step-by-step explanation:

To find the unit rate for the question you have to divide 84 by 6

1.Find the period of the following functions. a) f(t) = (7 cos t)² b) f(t) = cos (2φt²/m)

Answers

Period of the functions: The period of the function f(t) = (7 cos t)² is given by 2π/b where b is the period of cos t.The period of the function f(t) = cos (2φt²/m) is given by T = √(4πm/φ). The period of the function f(t) = (7 cos t)² is given by 2π/b where b is the period of cos t.

We know that cos (t) is periodic and has a period of 2π.∴ b = 2π∴ The period of the function f(t) =

(7 cos t)² = 2π/b = 2π/2π = 1.

The period of the function f(t) = cos (2φt²/m) is given by T = √(4πm/φ) Hence, the period of the function f(t) =

cos (2φt²/m) is √(4πm/φ).

The function f(t) = (7 cos t)² is a trigonometric function and it is periodic. The period of the function is given by 2π/b where b is the period of cos t. As cos (t) is periodic and has a period of 2π, the period of the function f(t) = (7 cos t)² is 2π/2π = 1. Hence, the period of the function f(t) = (7 cos t)² is 1.The function f(t) = cos (2φt²/m) is also a trigonometric function and is periodic. The period of this function is given by T = √(4πm/φ). Therefore, the period of the function f(t) = cos (2φt²/m) is √(4πm/φ).

The period of the function f(t) = (7 cos t)² is 1, and the period of the function f(t) = cos (2φt²/m) is √(4πm/φ).

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-31 + |-8| need help

Answers

Answer:

-23

Step-by-step explanation:

-31 + |-8|

|-8| = 8

-31 + 8 = -23

I hope this helps!

Answer:

-23

Step-by-step explanation:

|-8| = 8 so you so -31 + 8+ -23 :)

I’m in 7th grade :)

Balin and Dwalin are two brothers, playing a game with a slightly crooked coin, with P(H)=0.6 and P(T)=0.4. The coin is tossed 10 times (each toss is independent from others) and in any turn it shows heads, it is tossed one more time. The brothers are counting the cases where the coin is tossed twice and the second toss, too, is heads. Here is an example scenario: The count here will be 1, as there are only two cases where the coin showed heads and in only one such case, the second toss was also heads. Thus, only the 10 th turn is counted. Let X be the counted number of such double heads. What is the support, pmf, expected value and variance of X?

Answers

Answer:

Calculating the probabilities, expected value, and variance for each value of X using the formulas mentioned above, we can determine the support, pmf, expected value, and variance of X in this scenario.

Step-by-step explanation:

To find the support, pmf, expected value, and variance of X, we can analyze the scenario and use probability concepts.

The support of a random variable X represents the set of possible values it can take. In this case, X represents the number of times the coin is tossed twice and the second toss is heads. The possible values of X can range from 0 (no occurrences) to 10 (all 10 tosses show heads). Therefore, the support of X is {0, 1, 2, ..., 10}.

PMF (Probability Mass Function):

The PMF of X gives the probability of each possible value occurring. Let's calculate the probabilities for each value of X.

P(X = 0): This occurs when there are no occurrences of the coin being tossed twice with both tosses being heads. The probability of this happening is (0.4)^(10) since each toss has a probability of showing tails.

P(X = 1): This occurs when there is one occurrence of the coin being tossed twice with both tosses being heads. The probability of this happening is 10 * (0.6) * (0.4)^(9) since there are 10 possible positions for the occurrence and the first toss must be heads.

P(X = 2): This occurs when there are two occurrences of the coin being tossed twice with both tosses being heads. The probability of this happening is (10 choose 2) * (0.6)^2 * (0.4)^(8) since we need to choose 2 positions out of the 10 for the occurrences.

Similarly, we can calculate the probabilities for X = 3, 4, ..., 10.

Expected Value:

The expected value of X, denoted as E(X), represents the average value we would expect if we repeated the experiment many times. It is calculated as the sum of each possible value of X multiplied by its corresponding probability.

E(X) = sum(X * P(X)) for each value of X in the support.

Variance:

The variance of X, denoted as Var(X), measures the dispersion of the random variable around its expected value. It is calculated as the sum of the squared differences between each possible value of X and the expected value, multiplied by their corresponding probabilities.

Var(X) = sum((X - E(X))^2 * P(X)) for each value of X in the support.

By calculating the probabilities, expected value, and variance for each value of X using the formulas mentioned above, we can determine the support, pmf, expected value, and variance of X in this scenario.

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Find the distance between A (-8, -3) and B (-5, -2). Write your answer as
a radical and as a decimal rounded to the nearest tenth.

Answers

Answer first 8-5=3 3-2=1 5,1  is you answer kind sir mam or them

Step-by-step explanation:

How do i solve this?

How do i solve this?

Answers

9514 1404 393

Answer:

  see the attachment

Step-by-step explanation:

The cost when no sugar is transported is 3250, so that is the "y-intercept". (There is no "y". The vertical axis is labeled "c", so that  is the c-intercept.)

The cost per ton is 125, so that is the slope or "rate of change". Each increase of 1 unit in the value of "s" will result in an increase of 125 in the value of "c". The grid lines for "c" are 500 apart, so 1 vertical grid space will correspond to 500/125 = 4 horizontal grid spaces.

The graph starts at the left side halfway between 3000 and 3500. It goes up 1 grid square for each 4 grid squares to the right.

How do i solve this?

Let the angle of a triangle bed and with opposite sides of length α, b, and y respectively. Use the Law of Cosines to find the remaining side and one of the other angles. (Hound your answers to be decimal place.)
α = 53°; b = 15; c = 16
a = ......
β = ......º

Answers

Given the triangle with an angle α of 53° and two sides of length b = 15 and c = 16, we can use the Law of Cosines to determine the remaining side a and one of the other angles β.The remaining side a is approximately 9.96 and the angle β is approximately 34.58°

The Law of Cosines states that for any triangle with sides of lengths a, b, and c, and an angle α opposite the side of length a, the following equation holds: c²= a² + b² - 2abcos(α).

To find the remaining side a, we can substitute the given values into the equation: 16² = a² + 15² - 2(15)(a)cos(53°).

Simplifying the equation gives: 256 = a² + 225 - 30acos(53°).

Rearranging the terms, we have: a²- 30acos(53°) + 31 = 0.

Solving this quadratic equation yields two possible values for a: a ≈ 9.96 and a ≈ 39.04 (rounded to two decimal places).

To find the angle β, we can use the Law of Sines: sin(β)/15 = sin(53°)/a.

Substituting the known values, we get: sin(β)/15 = sin(53°)/9.96 (using the approximate value of a).

Solving for sin(β) and then finding the inverse sine gives us β ≈ 34.58° (rounded to two decimal places).

Therefore, the remaining side a is approximately 9.96 and the angle β is approximately 34.58°.

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original: 7.7
new. 10.5

explain weather it decreased or it increased

Answers

Answer:
Increased

Explanation:

Answer:

It increased.

Step-by-step explanation:

Hope it helps..

The price of a home (in thousands of dollars) is associated with the number of square feet in a home. Home prices in Smavile can be modeled using the equation p = 150 + 0.041a where p is the price of the home in thousands of dollars and a is the area of the house in square feet Home prices in Fancyville can be modeled using the equation p = 250 + 0.198a Ngoc saw a real estate advertisement for a 2800 square foot home that was selling for $280,000. Which city should she predict that the home is in?

Answers

Ngoc should predict that the home is located in Smavile based on the real estate advertisement

How to determine the city she should predict that the home is in?

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

Function 1: p = 150 + 0.041a (Smavile)

Function 2: p = 250 + 0.198a (Fancyville )

Where

a = area

p = price

From the question, we have

a = area = 2800

p = price = 280000

Using the above as a guide, we have the following:

So, we have

Function 1: p = 150 + 0.041 * 2800 (Smavile)

Evaluate the expression

p = 264.8 -- false

Function 2: p = 250 + 0.198 * 2800 (Fancyville )

Evaluate the expression

p = 804.4 --- false

264.8  is closer to 280 than 804.4

Hence, the home is in Smavile

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Suppose g is a function which has continuous derivatives, and that g(8)=5,g′(8)=−3, g′′(8)=4, g′′′(8)=1

Answers

The behavior of the function g at x = 8

The function has a value of 5 at x = 8.

The function is decreasing at x = 8.

The slope of the tangent line is becoming less steep at x = 8.

The rate at which the slope is changing is increasing at x = 8.

The given information provides the values of the function g and its derivatives at x = 8. Let's analyze what each derivative represents and what we can infer from the provided values.

First, we have g(8) = 5, which indicates that the value of the function g at x = 8 is 5.

Next, g'(8) = -3 represents the value of the first derivative of g at x = 8. The first derivative measures the rate of change of the function at a specific point. In this case, g'(8) = -3 suggests that the function g is decreasing at x = 8, as the derivative is negative. This implies that the slope of the tangent line to the graph of g at x = 8 has a negative value of -3.

Moving on, g''(8) = 4 represents the value of the second derivative of g at x = 8. The second derivative measures the rate at which the slope of the function is changing. In this case, g''(8) = 4 indicates that the slope of the tangent line to the graph of g is increasing at x = 8. A positive second derivative suggests a concave up shape of the graph.

Lastly, g'''(8) = 1 represents the value of the third derivative of g at x = 8. The third derivative measures the rate at which the rate of change of the slope is changing. In this case, g'''(8) = 1 indicates that the rate of change of the slope is increasing at x = 8. A positive third derivative suggests a graph that is becoming steeper.

Based on this information, we can make the following observations about the behavior of the function g at x = 8:

- The function has a value of 5 at x = 8.

- The function is decreasing at x = 8.

- The slope of the tangent line is becoming less steep at x = 8.

- The rate at which the slope is changing is increasing at x = 8.

These properties provide insights into the behavior of the function g and its derivatives at x = 8. However, without further information or an explicit equation for g(x), we cannot determine the specific shape or behavior of the function beyond the given point.

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pls help i don’t understand!

pls help i dont understand!

Answers

Answer:  111 degrees

You may need to input the number only without the "degrees".

=============================================================

Explanation:

First we'll focus on triangle DEH. Ignore the other points and values.

We have the sides of EH = 32 and DH = 49. Let x be the measure of angle DHE, which is one of the pieces of angle DHG. We'll use the cosine rule to find x.

cos(angle) = adjacent/hypotenuse

cos(H) = EH/DH

cos(x) = 32/49

x = arccos(32/49)

x = 49.227195

The value is approximate and rounded to 6 decimal places. Make sure your calculator is in degree mode. Arccos is the same as inverse cosine.

We'll come back to this value later.

---------------------

Now focus on triangle HFG. Ignore the other points.

We have the sides of FG = 38 and GH = 43

Let y be the measure of angle FHG, which is the missing piece to form angle DHG. Based on how x and y are set up, we can say x+y = angle DHG.

To find y, we'll need the sine rule this time

sin(angle) = opposite/hypotenuse

sin(H) = FG/GH

sin(y) = 38/43

y = arcsin(38/43)

y = 62.094527 which is approximate to 6 decimal places

---------------------

The last step is to add the values of x and y we found earlier

angle DHG = (angle DHE) + (angle FHG)

angle DHG = (x) + (y)

angle DHG = (49.227195) + (62.094527)

angle DHG = 111.321722

angle DHG = 111 degrees after rounding to the nearest whole degree.

----------------------

If you wanted to do this all in one step, you could say:

arccos(32/49)+arcsin(38/43) = 111.3217 which rounds to 111 degrees.

Evaluate 2w^4 - x if w is 3 and x is 2.5

My sister is stuck on this one, and I have to go somewhere really soon, please help!

Answers

Answer:

when w is 3 and x is 2.5, the value of the expression 2w^4 - x is 159.5.

Step-by-step explanation:

To evaluate the expression 2w^4 - x when w is 3 and x is 2.5, we simply need to substitute these values into the expression and simplify:

2w^4 - x

= 2(3)^4 - 2.5 (substitute w=3 and x=2.5)

= 2(81) - 2.5 (evaluate 3^4 = 81)

= 162 - 2.5 (multiply 2 by 81)

= 159.5

Therefore, when w is 3 and x is 2.5, the value of the expression 2w^4 - x is 159.5.

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