A) How high up the wall does it reach?
Use the Pythagorean theorem
Height^2 + Base^2 = Hyp^2
H^2+ 2^2 = 4^2 Subtract the 2^2 from both sides
H^2 = 4^2 -2^2 Multiply the square roots of both the numbers
H^2= 16 - 4
H^2 = 12
H= sqrt(12) m
Hope this helps
Answer:
x = -11/2
Step-by-step explanation:
The ratios need to stay the same
5x 11
----- = -------
x-2 3
Using cross products
5x*3 = (x-2) 11
15x = 11x - 22
Subtract 11 from each side
15x-11x = -22
4x = -22
x = -22/4
x = -11/2
First we need to convert our fractions into decimals, it's just a lot easier to work with.
2 1/2 is equal to 2.5
2 1/4 is equal to 2.25
Then we plug our numbers into the formula used to find the volume of a rectangle:
V=L*W*H
Volume equals Length times Width times Height.
V=2.5*4*2.25
V=22.5
22.5 is already in decimal form, or if you'd rather have a mixed number, your answer is 22
128 square inches.
The area of a triangle is 1/2bh, where b is the base and h is the height. Substitute the values in.
1/2 * 8 * 32
Now, just solve.
4 * 32
128 square inches
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