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Given: NB = 12 ft, Angle-120°<span>
Asked: area of the region that is not shaded.
Substitute the given values in the equation in finding the area of a circle.
</span>A = πr²
<span>A = ⅔π(12 ft)² </span>
<span>A = 96π ft²
(Since </span>120° is 1/3 of the circle. it is then understood that the unshaded parts must be 2/3 of the circle.)
Since you already have the area, find the area of the triangle to add it to the area of the circle to find the area of the unshaded part. By using a handy trigonometry, you can tell that their will be 2 triangles of 12 ft (if you are going to divide 120° angle). From this, you'll see that there will be one of the smaller triangles having a <span> the height of 6 ft and the base is 6√3 ft. Substitute the values.</span>
A = ½bh
<span>A = ½(6 ft)(6√3 ft) * 2 </span>
<span>A = 36√3 ft²
</span>
Add them up and you will have the exact answer 96π + 36√3 ft², when rounded to the nearest tenth, you will have <span> 364 ft². </span>
Answer:
The measure of angle A is 53 degrees
The measure of angle B is 37 degrees
Step-by-step explanation:
Here in this question, we are interested in calculating the measure of the two angle.
When how angles are complementary, it means the sum of both equals 90 degrees
mathematically ;
(7x + 4) + (4x + 9) = 90
7x + 4x + 4 + 9 = 90
11x + 13 = 90
11x = 90-13
11x = 77
x = 77/11 = 7
The measure of angle A = 7x + 4 = 7(7) + 4 = 49 + 4 = 53 degrees
The measure of B = 4x + 9 = 4(7) + 9 = 28 + 9 = 37 degrees
total that play football = 40
30 of them play basket ball
the missing number is 40 - 30 = 10
Triangle BCD is similar to triangle ACE, so corresponding side lengths are proportional to one another and we have

Solve for
:
