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3 years ago

Find the missing side or angle.

Mathematics

1 answer:

Nina [5.8K]3 years ago

8 0

Answer:

$a=4.1$

Step-by-step explanation:

The Law of Cosines is given as:

$a^2=c^2+b^2-2cb\cos A$ .

Plugging in given values, we get:

$a^2=4^2+2^2-2\cdot 4 \cdot 2\cos 78^{\circ},\\a^2=16+4-16\cos 78^{\circ},\\a^2\approx \sqrt{16.673},\\a\approx \fbox{$4.1$}$ .

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Which of the following are inverses of each other?

Over [174]

Answer:

So, how do we check to see if two functions are inverses of each other? Well, we learned before that we can look at the graphs.

Step-by-step explanation:

Remember, if the two graphs are symmetric with respect to the line y = x (mirror images over y = x ), then they are inverse functions.

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3 years ago

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aleksklad [387]

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2 years ago

Read 2 more answers

What is 5(6\36+12-3)?<br> (No answer choice)

Ierofanga [76]

The first thing you would do is simplify the inside of the parenthesis to 55/6 using PEMDAS. Next all you do is multiply that by 5 to get 275/6 or 45.833 (repeating) in decimal form.

6 0

4 years ago

A doctor wants to estimate the mean HDL cholesterol of all 20- to 29-year-old females. How many subjects are needed to estimat

REY [17]

(a) 404 subjects are needed to estimate the mean HDL cholesterol within 2 points with 99% confidence.

(b) When the confidence level decreases to 95%, the number of subjects decreases from 404 to 234.

<u>Explanation:</u>

Given:

σ = 15.6

Let the number of subjects be n

(a)

When the confidence level is 99%, then z = 2.576

E = 2

We know:

$n = [\frac{z X s}{E}]^2$

On substituting the value, we get:

$n = [\frac{2.576 X 15.6}{2} ]^2\\\\n = 403.7$

Thus, 404 subjects are needed to estimate the mean HDL cholesterol within 2 points with 99% confidence.

(b)

When the confidence level is 95%, then z = 1.96

E = 2

We know:

$n = [\frac{z X s}{E}]^2$

On substituting the value, we get:

$n = [\frac{1.96 X 15.6}{2} ]^2\\\\n = 233.7$

n = 234

Thus, when the confidence level decreases to 95%, the number of subjects decreases from 404 to 234.

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3 years ago

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).

valkas [14]

Answer:

7, 12, 17...172 (34th term)

Step-by-step explanation:

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3 years ago