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3 years ago

15

Use a half-angle identity to find the exact value of sin pi/8

2 answers:

const2013 [10]3 years ago

7 0

Answer: $\frac{\sqrt{2-\sqrt{2} } }{2}$

Step-by-step explanation:

B on edge

riadik2000 [5.3K]3 years ago

6 0

Use a half-angle identity to find the exact value of sin pi/8

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The are of a shaded region is 118 ft squared. Which equation can be- used to find the value of X, in feet?

Triss [41]

Answer:

$x^2+ 18x -130=0$

Step-by-step explanation:

Given

See attachment for diagram

Required

The equation to find x

First, calculate the area of the big rectangle using:

$Area = Length * Width$

So:

$A_1 = (x + 6) * (3x - 2)$

The smaller rectangle

$A_2 = (x - 1) * (2x)$

The difference between this areas give the area of the shaded region.

So:

$A_1 - A_1 = 118$

$(x+6)*(3x-2) - (x-1)*2x = 118$

Open brackets

$3x^2 - 2x + 18x -12 -2x^2 +2x = 118$

Collect like terms

$3x^2 -2x^2- 2x +2x+ 18x -12 - 118=0$

$x^2+ 18x -130=0$

<em>The above equation can be used to solve for x</em>

4 0

3 years ago

A random sample of 200 people was taken. 90 of the people in the sample favored Candidate A. We are interested in determining wh

mafiozo [28]

Answer:

a. 1.44

Step-by-step explanation:

We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 40%.

At the null hypothesis, it is tested if the proportion is of at most 40%, that is:

$H_0: p \leq 0.4$

At the alternative hypothesis, it is tested if the proportion is of more than 40%, that is:

$H_1: p > 0.4$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.4 is tested at the null hypothesis:

This means that $p = 0.4, \sigma = \sqrt{0.4*0.6}$

A random sample of 200 people was taken. 90 of the people in the sample favored Candidate A.

This means that:

$n = 200, X = \frac{90}{200} = 0.45$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.45 - 0.4}{\frac{\sqrt{0.4*0.6}}{\sqrt{200}}}$

$z = 1.44$

Thus the correct answer is given by option a.

8 0

3 years ago

2 laundry company one time fee

suter [353]

Answer:

Step-by-step explanation:

I am sorry but what is this suppose to be asking

7 0

3 years ago

What is the coefficient in the expression 4x + 2 <br>O2<br>O4<br>Ox<br>O+

Amiraneli [1.4K]

A coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x).

The 2 and + are out since they don't have variables(and the + is just a +).

So 4 and x are left. x is a variable, not a coefficient, so the last(and correct) answer is 4.

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hope it helps

8 0

3 years ago

Find the measure of the indicated angle to the nearest degree

omeli [17]

$\boxed{\sf sin\Theta=\dfrac{P}{H}}$

$\\ \sf\longmapsto sin\Theta=\dfrac{16}{26}$

$\\ \sf\longmapsto sin\Theta=\dfrac{8}{13}$

$\\ \sf\longmapsto sin\Theta=0.5$

Convert to p/q form

$\\ \sf\longmapsto sin\Theta=\dfrac{5}{10}$

$\\ \sf\longmapsto sin\Theta=\dfrac{1}{2}$

$\\ \sf\longmapsto sin\Theta=sin30$

$\\ \sf\longmapsto \Theta\approx30°$

4 0

3 years ago