All categories

2 years ago

Help! Anyone know the measure of Angle A?It’s no 28.1 or 31.1

Mathematics

1 answer:

Luda [366]2 years ago

6 0

Answer:

Angle A is about 61.9 degrees

Step-by-step explanation:

To find the measure of an angle, we can use inverse trigonometry. To find A, we can use the formula A=sin^-1(opposite/hypotenuse).

The side opposite of angle A is 15, and the hypotenuse of the triangle is 17. We can plug in the numbers into the calculator to get:

A= sin^-1 (15/17)

A= 61.9275

We round to 61.9.

You might be interested in

Solve the equation. y + 6 = –3y + 26

Marina CMI [18]

The answer I think would be y = 5 let me know if I'm wrong

7 0

3 years ago

Read 2 more answers

Suppose a room is 5.2 m long by 4.3m wide and 2.9 m high and has an air conditioner that exchanges air at a rate of 1200 L/min.

Readme [11.4K]

Answer:

54 minutes

Step-by-step explanation:

From the question, we are given;

A room with dimensions 5.2 m by 4.3 m by 2.9 m
The exchange air rate is 1200 L/min

We are required to determine the time taken to exchange the air in the room;

First we are going to determine the volume of the room;

Volume of the room = length × width × height

= 5.2 m × 4.3 m × 2.9 m

= 64.844 m³

Then we should know, that 1 m³ = 1000 L

Therefore, we can convert the volume of the room into L

= 64.844 m³ × 1000 L

= 64,844 L

But, the rate is 1200 L/min

Thus, time = Volume ÷ rate

= 64,844 L ÷ 1200 L/min

= 54.0367 minutes

= 54 minutes

Therefore, it would take approximately 54 minutes

4 0

3 years ago

36×78<br><img src="https://tex.z-dn.net/?f=5551%20%5Ctimes%20696" id="TexFormula1" title="5551 \times 696" alt="5551 \times 696"

KATRIN_1 [288]

If the question is asking what 36x78 is the answer is 2,808

3 0

3 years ago

To estimate the mean height μ of male students on your campus,you will measure an SRS of students. You know from government data

nexus9112 [7]

Answer:

a) $\sigma = 0.167$

b) We need a sample of at least 282 young men.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by

$Z = \frac{X - \mu}{\sigma}$

This Zscore is how many standard deviations the value of the measure X is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

(a) What standard deviation must x have so that 99.7% of allsamples give an x within one-half inch of μ?

To solve this problem, we use the 68-95-99.7 rule. This rule states that:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviations of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we want 99.7% of all samples give X within one-half inch of $\mu$ . So $X - \mu = 0.5$ must have $Z = 3$ and $X - \mu = -0.5$ must have $Z = -3$ .

$Z = \frac{X - \mu}{\sigma}$

$3 = \frac{0.5}{\sigma}$

$3\sigma = 0.5$

$\sigma = \frac{0.5}{3}$

$\sigma = 0.167$

(b) How large an SRS do you need to reduce the standard deviationof x to the value you found in part (a)?

You know from government data that heights of young men are approximately Normal with standard deviation about 2.8 inches. This means that $\sigma = 2.8$