Answer:
37.5 ( i didn't round cause the answer looked simple already)
Step-by-step explanation:
formula for triangle is base x height divided by 1/2
Base(5) x Height(15) = 75 now divide by 1/2
75 divided by 1/2 = 37.5
(Could i have brainliest if i'm right?)
You start of with a number, ( this number can be any number) so think of it as an unknown number. the number shall be denoted as x
so you have x
you want triple the number
3x
you also want to double the number
2x
you want the difference so you subtract these two terms
3x-2x
Answer:
It would be (1,6), (-2,3)
x=1, y=6
x=-2, y=3
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
All you have to do is divide the numerator by the denominator and then multiply that result with 100 like so:
(Numerator/Denominator)*100
When you enter 8/40 into the above formula, you get (8/40)*100 which calculates to:
20%
If the ratio of the dimensions is 4:7 and the shorter dimension is 10ft, we know that the 10ft corresponds to the 4 in this scenario. We can set up the equation as follows:
![\frac{4}{7} =\frac{10}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B7%7D%20%3D%5Cfrac%7B10%7D%7Bx%7D)
You have to multiply by 2.5 to get from 4 to 10. And since we want to make sure we are maintaining the ratio, we have to multiply the denominator, 7, by 2.5 as well.
![\frac{4}{7}*\frac{2.5}{2.5}=\frac{10}{17.5}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B7%7D%2A%5Cfrac%7B2.5%7D%7B2.5%7D%3D%5Cfrac%7B10%7D%7B17.5%7D)
This means your shorter side has a length of 10ft and your longer side has a length of 17.5ft.
AREA
The formula for the area of a rectangle is: ![w*l](https://tex.z-dn.net/?f=w%2Al)
So we can plug our dimensions into the formula: ![10*17.5=175](https://tex.z-dn.net/?f=10%2A17.5%3D175)
So 175 is our area. But we can't forget about units! Since this is area and we multiplied our units together, our units would be squared. That means our answer is <u>175 square feet</u>.
PERIMETER
The formula for the perimeter of a rectangle is: ![2(w+l)](https://tex.z-dn.net/?f=2%28w%2Bl%29)
We can plug our dimensions into the formula: ![2(10+17.5)=55](https://tex.z-dn.net/?f=2%2810%2B17.5%29%3D55)
So 55 is our perimeter. Of course, we can't forget about our units. Because this is perimeter, we only added our units together, so they don't change. That means our answer is <u>55 feet</u>.