Express each of the following in terms of a reference angle. Explain, please.

1 answer:

4 0

Sin 45 = sin 45
sin 135 = sin (180 - 45) = sin 45
sin(225) = -sin(180 + 45) = -sin 45
sin 315 = -sin(360 - 45) = -sin 45

cos 224.5 = -cos(180 + 44.5) = -cos 44.5
cos 658 = cos(658 - 360) = cos 298 = cos(360 - 62) = cos 62
cos 145.7 = -cos (180 - 34.3) = -cos 34.3
sin (-201) = sin (360 - 201) = sin(159) = sin (180 - 159) = sin 21

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Each side of a cube measures 5 cm in length. What is the cubes volume?

AysviL [449]

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Answer:

Your answer would be 125 cm³

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Step-by-step explanation:

In order to find the volume of a cube, we would need to use the right formula to find the volume for it.

Volume of a cube formula:

$V = a^{3}$

For our "a" value, we would need to plug in our side value, and for you case, the side value would be 5.

In a cube, all of the sides would be the same size, so you don't have to worry about using any different numbers.

Lets plug in 5 to our equation.

$V = 5^{3}$

Now we solve:

$5^{3} = 125\\$

This is also the same as:

$5 *5*5 = 125$

Your FINAL answer should be 125 cm³

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8 0

3 years ago

Read 2 more answers

Which of the following shows the solution to the inequality

otez555 [7]

Answer:

I got x = 1

Step-by-step explanation:

First to isolate the variable you add 3 to both sides which will give you 1/2x is less than or equal to 2. Then divide both sides by 1/2 and you will get x = 1. To check the answer I just did:

$1/2(1) -3 \leq -1\\1/2 -3\leq -1\\-2.5\leq -1$