The answer for both of these would be a rectangle.
A rectangular prism has 6 faces, all of which are rectangles. Slicing the prism parallel to any of the faces, whether they are end faces or bases, will result in a rectangular cross-section.
You want to find the volume inside the hemisphere 
(i.e. inside the sphere but above the plane 
) and outside the cylinder 
. Call this region 
.
In cylindrical coordinates, we have
(where 
)
Answer and Step-by-step explanation:
When trying to figure this out, we know that the numbers have to be one after the other, like 1, 2, 3, 4, or 55. 56, 57, 58. The last digit in the numbers also have to add to 6.
<u>The answer is:</u>
100 + 101 + 102 + 103
It adds up to 406, and the integers are consecutive.
<u><em>#teamtrees #PAW (Plant And Water)</em></u>
<u><em></em></u>
<u><em>I hope this helps!</em></u>
Answer:
(8+9) 3 - 1 = 50
Step-by-step explanation:
8 + 9 = 17
17 x 3 = 51
51 - 1 = 50
Least common multiple: factor them, then see what they have in common and what is leftover and multiply those expressions:
(x - 2)(x + 3) 10(x + 3)(x + 3)
Common: (x + 3)
Leftover: (x - 2), (10), (x + 3)
Common · Leftover is: (x + 3) · (x - 2) · (10) · (x + 3) = 10(x - 2)(x + 3)²
Answer: LCM is 10(x - 2)(x + 3)²
