Answer: 21.994 cm²
Step-by-step explanation:
Area of the shaded region = Area of the bigger circle - the areas of the two smaller circles.
Formula for finding area of a circle = πr² where π is a constants . It has value of 22/7 or 3.142
Now area of the bigger circle = 3.142 x 3²
= 3.142 x 9
= 28.278 cm² Now are of the two smaller triangle = 3.142 x 1² x 2
= 6.284 cm².
Therefore are of the shaded region = 28.278 - 6.284
= 21.994 cm²
<span>Tan(x)=2
Or for x=45 tan(x)=1
then for tan(x)=2 ; x must be superior to 45
Then the answer is </span><span>d. 63.4 degrees</span>
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<u><em>Answer:</em></u>sin (C)
<u><em>Explanation:</em></u><u>In a right-angled triangle, special trig functions can be applied. These functions are as follows:</u>
sin (theta) = </span>

<span>
cos (theta) = </span>

<span>
tan (theta) = </span>

<span>
<u>Now, let's check the triangle we have:</u>
<u>We have two options:</u>
<u>First option:</u>5 is the hypotenuse of the triangle
4 is the side adjacent to angle B
Therefore, we can apply the <u>cos function</u>:
cos (B) = </span>

<span>
<u>Second option:</u>5 is the hypotenuse of the triangle
4 is the side opposite to angle C
Therefore, we can apply the <u>sin function</u>:
sin (C) = </span>

<span>
Among the two options, the second one is the one found in the choices. Therefore, it will be the correct one.
Hope this helps :)
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Answer:
12
Step-by-step explanation:
4*x-9=2x+15
4x-9=2x+15
-2x -2x
2x-9=15
2x=24
x=12