Answer:
C) 99 in²
Step-by-step explanation:
you can divide this shape by drawing a horizontal line to create a 4x12" rectangle and a trapezoid with a height of (10-4) in and bases of 12 and 5"
area of rectangle: 12 x 4 = 48
area of trapezoid: 1/2(6)(12+5) = 3(17) = 51
total area = 48 + 51
total area = 99 in²
Answer:
<h2>The perimeter of the cross section is 30 centimeters.</h2>
Step-by-step explanation:
In this problem we have the intersection of a rectangular prism an a plane.
The dimensions of the rectangular plane are

Assuming the plane is cutting the prism horizontally, the cross section would have dimensions

Because only the height would be cut.
So, the perimeter of the rectangle cross-section is

Therefore, the perimeter of the cross section is 30 centimeters.
Step-by-step explanation:
an object and its shadow create a right-angled triangle.
2 objects and their shadows create 2 similar right-angled triangles.
that means the angles are the same, and the side lengths of one triangle all correlate with the corresponding side lengths of the other triangle via the same factor.
so,
42 × f = 6
f = 6/42 = 1/7
the length of Joel's shadow is then
20 × f = 20 × 1/7 = 2.857142857... ft