Answer:
Step-by-step explanation:
Let the first term is a and common difference is d.
<u>The nth term is:</u>
<u>We have:</u>
<u>The difference of these terms is:</u>
- (a + 8d) - (a + 5d) = 16 - 15
- 3d = 1
- d = 1/3
<u>Then the first term is:</u>
- a + 5*1/3 = 15
- a = 15 - 5/3 = 13 1/3
<u>The nth term equation is:</u>
- aₙ = 13 1/3 + 1/3(n - 1) = 1/3n + 13
<u>If the nth term is 22, find n:</u>
- 1/3n + 13 = 22
- 1/3n = 22 - 13
- 1/3n = 9
- n = 9*3
- n = 27
Answer:
98.19
Step-by-step explanation:
Volume of whole cube minus volume of cylinder. volume of cylinder is pi x r^2 x h
Answer:
the obvious choice is 7/16
Step-by-step explanation:
the 7 is more than half in this question
lowkey give brainlist /\
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.
Recall that
Dividing both sides by cosh²(x) gives
Also, recall the identity
Then
