Answer:
10.2 feet.
Step-by-step explanation:
We have been given that Derek places a standard 12-inch ruler next to the goal post and measures the shadow of the ruler and the backboard. If the ruler has a shadow of 10 inches. We are asked t find the height of the backboard, if the backboard has a shadow of 8.5 feet.
We will use proportions to solve our given problem as ratio between sides ruler will be equal to ratio of sides of background.
Therefore, the actual height of the back-board is 10.2 feet.
Hello.
Let's call the initial speed 'x'. When driving at that speed, Jeremy's father takes 20 minutes to arrive to the school. When driving 18 mph faster (x + 18), he gets there in 12 minutes. Therefore:
20 - x
12 - x + 18
As they're inversely proportional:
12 - x
20 - x + 18
That means that the initial speed is of 27mph. Since we have the time and the speed, we can find the distance:
Average Speed = Total Distance Travelled / Time Interval
20 minutes = 0.33h
Hope I helped and good luck.
Hello, there!
He could use answer D. 8 feet by 3 feet.
The formula for area of a rectangle is L * W = A
The length is 8 and and the width is height
8 * 3 = A
8 * 3 = 24
Therefore, the answer is D.
I hope helped!
Let me know if you need anything else!
~ Zoe
Btw I got this answer from gauth.math
answer: 224.4
First and last terms of the given equation are perfect squares. They can be written as
(4p^2)^2+ 2.(4p^2).5+(5)^2
It's like identity 1: (a+b)^2=a^2+2ab+b^2
So a=4p^2 and b=5
Therefore it is equal to (4p^2+5)^2
