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2 years ago

Find the the measure of angle C

Mathematics

1 answer:

andrey2020 [161]2 years ago

8 0

Answer:

65.4

Step-by-step explanation:

Use the Law of Sines here. The Law is as follows:

$\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}$

We only have need for 2 of those 3 proportions. Since we can have only 1 unknown in a single equation, we have to use angle C as that unknown. That means that other angle and side have to be given in the problem. Angle B is given as 45 and side b is given as 7, so we will use those.

$\frac{sinC}{9}=\frac{sin45}{7}$

We solve for sinC:

$sinC=\frac{9sin45}{7}$

Doing that on our calculator gives us

sinC = .9091372901

Taking the inverse sin in degree mode gives you that angle C = 65.4

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C. It is a basic parabola

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2 years ago

What is the value of 6(2b-4) when b =5

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Answer: The value of $6(2b-4)$ is 36.

Step-by-step explanation:

Given expression: $6(2b-4)$

To find the value of $6(2b-4)$ at b= 5, we need to substitute the b=5 in the expression, we get

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2 years ago

Read 2 more answers

Which method and additional information would prove triangle ONP and triangle MNL similar by the AA similarity postulate?

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<h3>Answer: Choice B</h3>

Use a rigid transformation to prove that angle NPO is congruent to angle NLM

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

Explanation:

The AA stands for "angle angle". So we need two pairs of angles to prove the triangles to be similar. The first pair of angles is the vertical angles ONP and MNL, which are congruent. Any pair of vertical angles are always congruent.

The second pair of angles could either be

angle NOP = angle NML
angle NPO = angle NLM

so we have a choice on which to pick. The pairing angle NOP = angle NML is not listed in the answer choices, but angle NPO = angle NLM is listed as choice B.

Saying angle NLM = angle LMN is not useful because those two angles are part of the same triangle. The two angles must be in separate triangles to be able to tie the triangles together.

We would use a rigid transformation to have angle NPO move to angle NLM, or vice versa through the use of a rotation and a translation.

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2 years ago

Suppose that the quarterly sales levels among health care information systems companies are approximately normally distributed w

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Answer:

The cutoff sales level is 10.7436 millions of dollars

Step-by-step explanation:

Problems of normally distributed samples are 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:

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

The Z-score measures how many standard deviations the measure 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.

In this problem, we have that:

$\mu = 12, \sigma = 1.2$

15th percentile:

X when Z has a pvalue of 0.15. So X when Z = -1.047.

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

$-1.047 = \frac{X - 12}{1.2}$

$X - 12 = -1.047*1.2$

$X = 10.7436$

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2 years ago

A therapist wanted to determine if yoga or meditation is better for relieving stress. The therapist recruited 100 of her high-st

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Answer: Choice B

There is not convincing evidence because the interval contains 0.

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

Explanation:

The confidence interval is (-0.29, 0.09)

This is the same as writing -0.29 < p1-p1 < 0.09

The thing we're trying to estimate (p1-p2) is between -0.29 and 0.09

Because 0 is in this interval, it is possible that p1-p1 = 0 which leads to p1 = p2.

Therefore, it is possible that the population proportions are the same.

The question asks " is there convincing evidence of a difference in the true proportions", so the answer to this is "no, there isn't convincing evidence". We would need both endpoints of the confidence interval to either be positive together, or be negative together, for us to have convincing evidence that the population proportions are different.

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