What smaller angle is coterminal with 573°

Mathematics

1 answer:

Kobotan [32]3 years ago

5 0

The positive coterminal angle is 213° and negative coterminal angle is -147° and -507°

Explanation:

Coterminal angles are two angles that are drawn in the standard position (so their initial sides are on the positive x-axis) and have the same terminal side

In other words, two angles are coterminal when the angles themselves are different, but their sides and vertices are identical.

Another way to describe coterminal angles is that they are two angles in the standard position and one angle is a multiple of 360 degrees larger or smaller than the other. That is, if angle A has a measure of M degrees, then angle B is co-terminal if it measures M +/- 360n, where n = 0, 1, 2, 3, ...

So,

When angle is 573° then the coterminal angle is

573° - 360 (1) = 213°

573° - 360(2) = -147°

573° - 360 (3) = -507°

Therefore, positive coterminal angle is 213° and negative coterminal angle is -147° and -507°

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If a triangle has sides of length 8 cm and 14 cm, what are the possible lengths of the third side?

Pie

Answer:

√260 and √132

Step-by-step explanation:

use pythagoreans theorem and you can replace a and b or a and c

8^2+14^2=x^2

64+196=x^2

260=x^2

x=√260

8^2+x^2=14^2

64+x^2=196

x^2=132

x=√132

7 0

4 years ago

Read 2 more answers

Find the 50th term of the sequence 5, -2, -9, -16, ...

Elodia [21]

Answer:

-338

Step-by-step explanation:

So we have the sequence:

5, -2, -9, -16...

First, note that this is an arithmetic sequence.

This is because each individual term is the previous term added by a common difference.

We can see that this common difference is -7, because each subsequent term is 7 less than the previous one. For example, 5 minus 7 is -2, -2 minus 7 is -9, and so on.

So, to find the 50th term, we can write an explicit formula for our sequence.

The standard form for the explicit formula for an arithmetic sequence is:

$x_n=a+d(n-1)$