Answer:
27
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
Answer:
diameter
circumference
![\pi](https://tex.z-dn.net/?f=%5Cpi)
diameter
Step-by-step explanation:
First, find the length of the diameter (d) and the length of the circumference of the circle (c).
Next, divide the length of the circumference c by the length of the diameter d and set up an equation
![\dfrac{c}{d}=\pi](https://tex.z-dn.net/?f=%5Cdfrac%7Bc%7D%7Bd%7D%3D%5Cpi)
where the ratio equals to
(the definition of
)
Then, solve the equation for the circumference c:
![c=\pi d](https://tex.z-dn.net/?f=c%3D%5Cpi%20d)
Finally, substitute 2 times the radius for the diameter
![c=\pi \cdot 2r=2\pi r](https://tex.z-dn.net/?f=c%3D%5Cpi%20%5Ccdot%202r%3D2%5Cpi%20r)
Answer:
20 1/4 ft
Step-by-step explanation:
Subtracting the four given lengths from 75 feet will tell you how much is left.
75 - (12 1/3 +16 1/6 +11 3/4 +14 1/2) = 75 -54 3/4 = 20 1/4
Gabriel has 20 1/4 ft of material left for his 5th banner.
Let's call this unknown number, x.
So then we can put together the equation using the information from the question:
![10*(\frac{1}{2}*x+6)=8](https://tex.z-dn.net/?f=%2010%2A%28%5Cfrac%7B1%7D%7B2%7D%2Ax%2B6%29%3D8%20%20)
Then we start by distributing this 10 to both the
and the 6:
![5x+60=8](https://tex.z-dn.net/?f=%205x%2B60%3D8%20)
Then we subtract 60 on both sides:
![5x=-52](https://tex.z-dn.net/?f=%205x%3D-52%20)
Then we divide both sides by 5 to solve for x:
or ![-10\frac{2}{5}](https://tex.z-dn.net/?f=%20-10%5Cfrac%7B2%7D%7B5%7D%20%20)