$1)\ \ \ sin(- \alpha )=-sin \alpha \\2)\ \ \ cos2 \alpha =1-2sin^2 \alpha \ \ \ \Rightarrow\ \ \ 2sin^2 \alpha =1-cos2 \alpha \\\\ \Rightarrow\ \ \ sin \alpha = \sqrt{\frac{\big{1-cos2 \alpha}}{\big{2}}} \\\\\\sin(-15^0)=-sin15^0=-\sqrt{\frac{\big{1-cos30^0}}{\big{2}}} =-\sqrt{\frac{\big{1- \frac{ \sqrt{3} }{2} }}{\big{2}}} =-\sqrt{\frac{\big{2- \sqrt{3}}}{\big{4}}} =\\\\ =- \frac{1}{2} \sqrt{2- \sqrt{3}}$

7 0

3 years ago

A painter is hired to paint the interior walls of a large warehouse. The function f(x)=20,000−40x models the area in square feet

Leto [7]

Insert x = 100 and x = 200 in the function

f(100) = 20,000 - 40*100

= 20,000 - 4000

= 16,000

f(2)) = 20,000 - 8,000 = 12,000

So its choice C , All reals between 12,000 and 16,000 inclusive.

4 0

3 years ago

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A dilation produces a smaller figure. Which is a possible scale factor?<br> -2 <br> 1/3<br> 1<br> 4

qaws [65]

<h3><u>Answer :- </u></h3>

• 1 / 3

<h3><u>Explanation :- </u></h3>

If a dilation produces a smaller figure then ,

0 < Scale factor < 1 .

So then ,

Case 1 ) -2 => The scale factor must be a positive number .

Case 2 ) 1 / 3 => 0 < 1/3 < 1 => Is a possible scale factor .

Case 3 ) 1 => This scale factor does not produce a smaller figure , It produces the same figure .

Case 4 ) 4 => This scale factor produces a larger figure .

<h3>• Hence, the answer is 1/3 .</h3>

<h3>Hope this helps you...</h3>

<h3>#Carry on learning#....</h3>

<h3>Have a nice day ahead...! </h3>

8 0

2 years ago

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