We can use the arc length formula to solve this.
Arc length = 
Given arc length is 7 and radius is 5, we can plug in the values and solve for q.

ANSWER:
We can use the equation
to find the value of q. And, the value of q is 80.21°.
15 boys and 16 girls....total is (15 + 16) = 31
probability that a boys name is drawn : boys/total ppl = 15/31
The trigonometric ratios of the right triangle with the given value tan A = 9 / 40 are
sin A = 9 / 41
cos A = 40 / 41
<h3>Trigonometric ratios</h3>
Trigonometric ratios are used to solve for the sides and angles of a right angle triangle.
Therefore,
sin A = opposite / hypotenuse
cos A = adjacent / hypotenuse
tan A = opposite / adjacent
Using Pythagoras theorem, let find the hypotenuse side
c² = 40² + 9²
c = √1681
c = 41
Therefore,
sin A = 9 / 41
cos A = 40 / 41
learn more on trigonometric ratios here: brainly.com/question/24320387
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Hello:
(3/4)x-3 = (1/2)x+2
(3x-12)/4 =(2x+8)/4
3x-12 = 2x+8
3x-2x = 12+8
x =20