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2 years ago

Students did push-ups for a fitness test. Their goal was 20 push-ups. For each student,

Mathematics

1 answer:

ale4655 [162]2 years ago

5 0

Answer:

1- 80%

2- 210%

3- 65%

4- 105%

Step-by-step explanation:

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Can anybody tell me what’s going on here?

masha68 [24]

Step-by-step explanation:

We are given a theta degree measure of sin in a specific interval. We are asked to find half of that degree measure.

The interval it ask us to find it in is between 2 pi and 5 pi over 2.

That is 360 degrees to 450 degrees. If you use reference angles, that is between the 0 degrees and 90 degrees. So that means our measure is going to be in the 1st quadrant.

Replace x with theta

$\sin( \frac{x}{2} ) = + - \sqrt{ \frac{1 - \cos(x) }{2} }$

We dont know cos x but we can use the pythagorean trig theorem to find cos x.

$\sin {}^{2} (x) + \cos {}^{2} (x) = 1$

$\sin {}^{2} ( \frac{4}{5} ) + \cos {}^{2} (x) = 1$

$\frac{16}{25} + \cos {}^{2} (x) = 1$

$\cos {}^{2} (x) = 1 - \frac{16}{25}$

$\cos {}^{2} (x) = \frac{9}{25}$

$\cos(x) = \frac{3}{5}$

Cosine in 1st quadrant is positive so 3/5 is cos x.

Replace 3/5 for cos x.

$+ - \sqrt{ \frac{1 - \frac{3}{5} }{2} }$

$+ - \sqrt{ \frac{2}{10} }$

The answer is

$+ - \sqrt{ \frac{2}{10} }$

7 0

2 years ago

Simplify (5x^2 -3x+3) - (x^2+2x-1).

Natali [406]

Eliminate parenthesis by using the distribution property

= 5x² -3x +3 - x² - 2x +1

Group similar terms

= (5-1)*x² + (-3 -2)*x + (3+1)

Then sum everything:

= 4x² -5x +4

7 0

2 years ago

Read 2 more answers

3x +2y=6 solve for Y

ololo11 [35]

Answer:

y = $\frac{6-3x}{2}$