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>
Answer: 21 m
Step-by-step explanation:
Given
the angle of depression of point G is ![25^{\circ}](https://tex.z-dn.net/?f=25%5E%7B%5Ccirc%7D)
Distance from pole base to point G is 45 m
Suppose h is the height of the pole
From the figure, we can write
![\Rightarrow \tan 25^{\circ}=\dfrac{h}{45}\\\\\Rightarrow h=45\tan 25^{\circ}\\\Rightarrow h=20.98\approx 21\ m](https://tex.z-dn.net/?f=%5CRightarrow%20%5Ctan%2025%5E%7B%5Ccirc%7D%3D%5Cdfrac%7Bh%7D%7B45%7D%5C%5C%5C%5C%5CRightarrow%20h%3D45%5Ctan%2025%5E%7B%5Ccirc%7D%5C%5C%5CRightarrow%20h%3D20.98%5Capprox%2021%5C%20m)
Answer:
The part of the circle being shown by the pink color is the Circumference
Answer:
15,000
Step-by-step explanation:
First, round both the numbers:
34,182 rounds down to 34,000
18,717 rounds up to 19,000
Subtract you're two rounded numbers
34,000 - 19,000 = 15,000
42 gallons weigh 7(42) or 294 pounds
<span>each cubic foot weighs 52 pounds </span>
<span>so the number of cubic feet = 294/52 = 5.654 ft^3</span>