Answer:
Part a) Rectangle
Part b) Triangle
Step-by-step explanation:
<u><em>The picture of the question in the attached figure N 1</em></u>
Part A) A cross section of the rectangular pyramid is cut with a plane parallel to the base. What is the name of the shape created by the cross section?
we know that
When a geometric plane slices any right pyramid so that the cut is parallel to the plane of the base, the cross section will have the same shape (but not the same size) as the base, So, in the case of a right rectangular pyramid, the cross section is a rectangle
Part b) If a cross section of the rectangular pyramid is cut perpendicular to the base, passing through the top vertex, what would be the shape of the resulting cross section?
we know that
Cross sections perpendicular to the base and through the vertex will be triangles
see the attached figure N 2 to better understand the problem
Answer:
Step-by-step explanation:
The computation of the volume of the cylinder is shown below:
As we know that
The Volume of the cylinder is
= base × height
= (4x)^2 + (5x)^2
=16x^2 + 25x^2
= 41x^3
Hence, the volume of the cylinder is 41x^3
1st multiply 2 x 8 x 144 = 2304 in^3divide 2304 by 144 = 16 board feet
The given lengths cannot form a triangle. They do not meet the requirements of the triangle inequality.
17 + 25 < 43
The triangle inequality requires each side be shorter than the sum of the other two.
Revenue = price * number of backpacks
number of backpacks = -2p + 50
p = 9 ; -2(9) + 50 = -18 + 50 = 32
revenue = 9 * 32 = 288
p = 12 ; -2(12) + 50 = -24 + 50 = 26
revenue = 12 * 26 = 312
<u>p = 12.50 ; -2(12.50) + 50 = -25 + 50 = 25</u>
<u>revenue = 12.50 * 25 = 312.50</u> GIVES THE MAXIMUM REVENUE
p = 15 ; -2(15) + 50 = -30 + 50 = 20
revenue = 15 * 20 = 300