All categories

3 years ago

Solve the following problem.

Mathematics

2 answers:

Orlov [11]3 years ago

7 0

Answer: C

Step-by-step explanation:

Pythagorean's Theorem can only be used for right triangles. For the triangle above, the Law of Cosines must be used. The Law of Cosines can be used when you're given two sides and an angle. The general formula is below:

$x^2=a^2+b^2-2abcos(theta)$

For the triangle above:

a = 23

b = 20

∅ = 47°

Therefore:

$x=\sqrt{23^2+20^2-2*23*20*cos(47)} =\sqrt{529+400-920cos(47)}=\sqrt{929-920cos(47)} =17.37$

Elza [17]3 years ago

5 0

Answer:

X = 30

Step-by-step explanation:

20^2 + 23^2 = x^2

400 + 529 = x^2

929 = x^2

√929 = √x^2

X = √929

X = 30.48

You might be interested in

Continue each pattern with the next two numbers

kobusy [5.1K]

The 18th sequence is - 41

7 0

3 years ago

What is the name of the song 50 points and brainliest.

solong [7]

Answer:

Butterflies

Step-by-step explanation:

Thanks

6 0

3 years ago

In a survey of 1000 large corporations, 260 said that, given a choice between a job candidate who smokes and an equally qualifie

Usimov [2.4K]

Answer:

The 95% confidence interval for the proportion of corporations preferring a nonsmoking candidate is (0.2328, 0.2872)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 1000, p = \frac{260}{1000} = 0.26$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.26 - 1.96\sqrt{\frac{0.26*0.74}{1000}} = 0.2328$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.26 + 1.96\sqrt{\frac{0.26*0.74}{1000}} = 0.2872$

The 95% confidence interval for the proportion of corporations preferring a nonsmoking candidate is (0.2328, 0.2872)

4 0

3 years ago

98 Points!<br><br> (3x^2^a - 4y^a z^3a )^2

vfiekz [6]

((3x^2)^a - (4y^a)(z^3a))^2

First, expand.

((3x^2)^a - (4y^a)(z^3a)) ((3x^2)^a - (4y^a)(z^3a))

Combine

3^(2a) - x^(4a) - 8 * 3^(2a)x^(2a)y^(a)z^(3a) + 16y^(3a)z^(6a)

hope this helps

5 0

3 years ago

Read 2 more answers

What is 2x - 3 = -x + 3

BARSIC [14]

<span>Simplifying 2x + -3 = -1x + 3
Reorder the terms: -3 + 2x = -1x + 3
Reorder the terms: -3 + 2x = 3 + -1x Solving -3 + 2x = 3 + -1x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -3 + 2x + x = 3 + -1x + x
Combine like terms: 2x + x = 3x -3 + 3x = 3 + -1x + x
Combine like terms: -1x + x = 0 -3 + 3x = 3 + 0 -3 + 3x = 3
Add '3' to each side of the equation. -3 + 3 + 3x = 3 + 3
Combine like terms: -3 + 3 = 0 0 + 3x = 3 + 3 3x = 3 + 3
Combine like terms: 3 + 3 = 6 3x = 6
Divide each side by '3'. x = 2
Simplifying x = 2

answer x=2

Hope I Helped:D</span>

7 0

3 years ago

Read 2 more answers