Answer:
She needs to run down 4.5 flights of stairs to represent an additive inverse
Step-by-step explanation:
Having an additive inverse means that she will be back at point zero.
The point zero in this context simply refer to her starting point.
So if she has run up 4.5 flights of stairs, then to be back at her starting point, she needs to run down also 4.5 flights of stairs
Answer:
He purchased 1.8 pounds.
Step-by-step explanation:
Divide 8.10 by 4.50.
8.10÷4.50= 1.8 pounds.
Hope this helped.
Step-by-step explanation:
First of all we need to know the formula for the circumference which is: 
We don't have the radius. What we only have is the area; therefore, we must use the area formula and extract the radius from it.
The formula for the area is: 
Solve for r;
![r^2=\frac{A}{\pi}\\ r=\sqrt[]{\frac{A}{\pi} }](https://tex.z-dn.net/?f=r%5E2%3D%5Cfrac%7BA%7D%7B%5Cpi%7D%5C%5C%20r%3D%5Csqrt%5B%5D%7B%5Cfrac%7BA%7D%7B%5Cpi%7D%20%7D)
![r=\sqrt[]{\frac{50.24inch^2}{3.14} }](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B%5D%7B%5Cfrac%7B50.24inch%5E2%7D%7B3.14%7D%20%7D)
![r=\sqrt[]{16inch^2}\\ r=4inch](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B%5D%7B16inch%5E2%7D%5C%5C%20r%3D4inch)
Now that we've found the radius, we simply plug it into the circumference formula.
Answer:
5.2 ft.
Step-by-step explanation:
First you want to find the circumference of the circle. Given the radius 5ft you can then multiply it by 2 to get the diameter to make the equation for circumference much easier. 2*5=10. the diameter is 10ft.
Next the formula for circumference with diameter is π(d). Our diameter is 10 so plug it in and you get π(10) which equals about 31.4.
With the 60 degree you have to know that a circle is a full 360 degrees. 60 is 1/6 of 360 in meaning the distance the weight at the end of the cord will move is 1/6 of the circumference of this circle. Therefore you need to do 1/6*31.4 which equals about 5.2.
-3(x-5)=45
distribute
-3x+15 = 45
subtract 15 from each side
-3x = 30
divide by -3
x = -10
