Answer:
B
Step-by-step explanation:

Radius= diameter ÷2
r= 32 ÷2
r= 16

Substitute r= 16,


Divide the denominator and numerator by 128:

Thus, the answer is B.
Answer:
806 yd sq.
Step-by-step explanation:
Area=(length)(width), so to find the surface area you can just find the area of each side and then add then all together.
They already gave you the length of some of the sides, so you should use that to help you find the length of all the sides.
You can see the entire prism's length is 17 yd, width is 4 yd, and height is 14 yd.
The large visible side's area would be (14)(17)= 283 yd. There's another one of these side's on the other side that we can't see. So we would do (283)(2) = 566 yd sq.
Next, we'll find the area of the side on the side by doing (14)(4)=56. Once again, there's two of these sides so we do (56)(2) to get 112 yd sq for this side.
Finally, we'll find the area of the top side. We can do (4)(17) =68, and then (68)(2) to get 138 yd sq.
Now, we have the area of each side of the prism! To find the total surface area, just add them all together. 556+112+138=806.
The surface area would be 806 yd sq.
Answer:
2y(7x + 4z)
Step-by-step explanation:
Consider the common factors of both terms
The gcf of 14 and 8 is 2
The gcf of xy and yz is y
Thus the gcf of both terms is 2y, thus
14xy + 8yz
= 2y(7x + 4z)
Answer:
232.96
Step-by-step explanation:
18.2-12.8=5.4
12.8•12.8=163.84
5.4•12.8=69.12
163.84+69.12=232.96
Answer:
See below.
Step-by-step explanation:
The probability of an event happening is a number from 0 to 1. A probability of 1 means the event will definitely happen. A probability of 0 means there is no way the event will happen. There is no probability of 50.