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3 years ago

HELPPP ME OUTTTT!!!!!

Mathematics

1 answer:

ryzh [129]3 years ago

3 0

Answer:

Measure of the unknown angle is 21°.

Step-by-step explanation:

In the given question,

Measure of opposite side and the measure of hypotenuse have been given.

Therefore, we will use the trigonometric ratio for the unknown angle which has the ratio of opposite side and the hypotenuse.

$\text{sin}\theta=\frac{\text{Opposite side}}{\text{Hypotenuse}}$

$=\frac{13}{36}$

$=0.36111$

$\theta \approx \text{sin}^{-1}(0.36111)$

$\theta \approx 21.17$

$\theta \approx 21^{\circ}$

Therefore, measure of the unknown angle is 21°.

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How much TV do college students watch? A survey of 361 students recorded the number of hours of television they watched per week

Darina [25.2K]

Answer: 90% confidence interval would be (6.022,6.986).

Step-by-step explanation:

Since we have given that

Number of students = 361

Sample mean = 6.504

Sample standard deviation = 5.584

Standard error of the mean = 0.294

At 90% confidence level,

So, α = 0.01

So, z = 1.64

Margin of error is given by

$z\times \text{Standard error}\\\\=1.64\times 0.294\\\\=0.48216$

So, Lower limit would be

$\bar{x}-0.482\\\\=6.504-0.482\\\\=6.022$

Upper limit would be

$\bar{x}+0.482\\\\=6.504+0.482\\\\=6.986$

So, 90% confidence interval would be (6.022,6.986).

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3 years ago

Combining like terms -8(9+3d) show how you got the answers

vivado [14]

Answer:

-72 - 24d i hope this helps! :)

Step-by-step explanation:

distribute the -8 to both the 9 and the 3d

-8 * 3d = -24d

-8 * 9 = -72

-72 and -24d

5 0

3 years ago

Read 2 more answers

Solve to find x and y in the diagram.

Kipish [7]

Considering the given information in the question, the value of x is $12^{o}$ , and that of y is $7.5^{o}$ .

A transversal is a line that cuts through two given parallel lines. Thus it intersects each parallel line at a point, forming four angles each.

From the given information in the question, it can be inferred that:

the given bottom right angle of the first intersection and the bottom right angle with the second intersection are congruent (corresponding angle property).

So that,

$(5x+4y)^{o}$ = $(12y)^{o}$

$5x^{o}$ = $12y^{o}$ - $4y^{o}$

$5x^{o}$ = $8y^{o}$ ............ 1

Also given that the top right angle at the second intersection is a right angle, then;

$12y^{o}$ + $90^{o}$ = $180^{o}$ (sum of angles on a straight line)

This implies that;

$12y^{o}$ = $180^{o}$ - $90^{o}$

$12y^{o}$ = $90^{o}$

So that,

y = $\frac{90}{12}$

y = $7.5^{o}$

Thus substituting the value of y in equation 1, we have;

$5x^{o}$ = $8y^{o}$ ........ 1

= 8(7.5)

5x = 60

x = $\frac{60}{5}$

x = $12^{o}$

Therefore, x = $12^{o}$ and y = $7.5^{o}$

For more clarification on a transversal of two parallel lines, check: brainly.com/question/1751268

#SPJ1

Kindly contact a 1-on-1 tutor if more explanations are needed.

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2 years ago

Ross took a survey of his classmates' preferred food as well as recording their genders. The results are in the table below:

iogann1982 [59]

The answer to your question is 30

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3 years ago

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The scale model of a building is 5.4 feet tall. If the original building is 810 meters tall, what was the scale used to make the

posledela

810/ 5.4 = 150. So the scale used was 150

7 0

3 years ago