About 96, as it's 50 x 3 for 150 people, so you do 32 x 3 to get 96.
Call those two angles x and y, where x is the larger one.
If they are complementary, then their sum equals 90°:
x + y = 90° (i)
Also, the ratio between x and y is 3 : 2, so
x 3
—— = ——
y 2
Product of the extremes = product of the means:
2x = 3y
2x – 3y = 0 (ii)
Now, just solve this system of equations:
x + y = 90° (i)
2x – 3y = 0 (ii)
Solve it with elimination. Since you want to know the value of the larger angle, which is x, then eliminate the variable y by doing the following:
Multiply the equation (i) by 3,
3x + 3y = 270° (iii)
2x – 3y = 0 (ii)
then add both equations, so you cancel out the variable y:
3x + 2x + 3y – 3y = 270° + 0
3x + 2x = 270°
5x = 270°
270°
x = ———
5
x = 54° <——— this is the measure of the larger angle.
I hope this helps. =)
Tags: <em>system of linear equations elimination method solve complementary angles algebra geometry</em>
The area of an exercise aid that is textured from the information regarding Fiona is 50 inches².
<h3>How to calculate the area?</h3>
From the information given, the measures or the exercise aid is approximately 25 inches around its base. Therefore, the radius will be calculated thus:
2πr = 25
(2 × 3.142 × r) = 25
6.284r = 25
r = 25/6.284
r = 3.978 = 4
Therefore, the area will be:
= πr²
= 3.142 × 4²
= 50 inches²
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Answer: 2.96% rounded
Step-by-step explanation: 10/30) x (9/29) x (8/28) = 720 / 24,360 = 6/203 = 2.96%