The figure below is composed of two right angles. what is the area of the figure in square inches?
1 answer:
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Answer:
Wage of Jolene is 414.29 dollars per week
Step-by-step explanation:
Amount received by Jolene for planting a tree is 17 cents
Given
Total amount of trees planted in a week = 2437
Wage of Jolene is equal to product of number of trees planted and amount paid for planting one tree
Wage of Jolene
Dollars
The volume of a box like this is found by multiplying the length times the width times the height. We are told that the length is 8 more inches than the width, so the width is w and the length is w + 8. If we cut away 3 square inches from each corner, the height when we fold up those corners is going to be 3. The volume is given as 27, so our formula looks like this: 
. When we do that multiplication, we have 
. We need to solve for w so we can then solve for h. Move the 27 over and set the quadratic equal to 0. 
. We can then factor out a 3 to make the job easier: 
. Now we can factor to solve for w. The 2 numbers that add up to 8 and multiply to -9 are 9 and -1. So (w+9) = 0, (w-1) = 0, or 3 = 0. Of course 3 doesn't equal 0, so that's out. w + 9 = 0 so w = -9. w - 1 = 0 so w = 1. There are 2 things in math that can never EVER be negative and those are time and distance/length. So -9 is out. That means that w = 1. But don't forget that there was 6 inches cut off each side, so the width is 1 + 3 + 3 which is 7. The length is w + 8 which means that the length is 7 + 8 or 15. Those are the dimensions of the rectangle before it was cut.
Answer:
120
Step-by-step explanation:
.
Plug in the information given:
.
Now we want to solve this equation for Run.
If you don't like Run as a variable, let's just use x in it's place:
Cross multiply:
Simplify both sides:
The run is 120.
Let's check our work.
.
So if our rise is 6 and our run is 120.
Does 6/120 reduce to 1/20?
6 and 120 do have a common factor of 6.
So if you divide top and bottom of 6/120 by 6 you do get 1/20.