Answer:
The first carpenter has done 25/56 more of the fence than the second carpenter.
Step-by-step explanation:
First, convert the fractions to an equal base:
4/7 * 8/8 = 32/56
1/8 * 7/7 = 7/56
The first carpenter did 32/56 of the work so far, and the second one has done 7/56.
To find the difference, subtract the number of the second carpenter from the first.
32/56 - 7/56 = 25/56
Answer:
![10000\pi](https://tex.z-dn.net/?f=10000%5Cpi)
Step-by-step explanation:
The formula for circumference is given by
. Setting this equal to the circumference in the problem, we can find the radius of the sphere:
![2\pi r=100\pi, \\r=\frac{100\pi}{2\pi},\\r=50](https://tex.z-dn.net/?f=2%5Cpi%20r%3D100%5Cpi%2C%20%5C%5Cr%3D%5Cfrac%7B100%5Cpi%7D%7B2%5Cpi%7D%2C%5C%5Cr%3D50)
Now we can use the formula for the surface area of a sphere:
Surface area of a sphere: ![A=4\pi r^2](https://tex.z-dn.net/?f=A%3D4%5Cpi%20r%5E2)
Using
:
![A=4\cdot \pi \cdot 50^2,\\A=4\cdot 2500\cdot \pi,\\A=\boxed{10000\pi}](https://tex.z-dn.net/?f=A%3D4%5Ccdot%20%5Cpi%20%5Ccdot%2050%5E2%2C%5C%5CA%3D4%5Ccdot%202500%5Ccdot%20%5Cpi%2C%5C%5CA%3D%5Cboxed%7B10000%5Cpi%7D)
Answer:
(-2, 10)
Step-by-step explanation:
Right 4 units means add 4 units to the x axis value, which is negative 2. So -6+4 is -2. Up 2 units means add 2 units to the y axis value, which is 8. If we add 2 to 8, we get 10. So our new value is (-2,10)
Answer:
6 small cranes.
Step-by-step explanation:
3c+10≤30
3(6)+10≤30
18+10≤30
28≤30