I don't exactly know what a net is, but I can figure out the surface area (maybe). When you put this pattern together, you have to make a couple of assumptions.
First of all the 2 triangles are connected to a base that's 8 by 13.
Base
The area of the base = 8 * 13 = 104 square feet.

Two Triangles.
The area of any triangle is
Area = 1/2 b * h
Area = 1/2 *12 * 5
Area = 30 square feet. There are 2 triangles so ...
The total area of both is 60 square feet.

Overlap
Now we come to the tough part. how big is it from the first dotted line to the second one?
The answer is 5. But why? Well the 5 comes from the the length of the side that has to be covered by this pattern. The 5 is part of the triangle.

How far across is the dotted line? The answer is 8. Why again? That's the width of the whole prism or pattern.
So the area between the two dotted lines is 5 * 8 = 40

Finally the area over the 12.
The question is how far is it from the second dotted line to the last boundary? The answer is 12. And it's width is 8
So the area = 12 * 8 = 96

Total area
96 + 60 + 40 + 104 = 300 square feet.

4 0

3 years ago

A television network is about to telecast a new television show. Before a show is launched, the network airs a pilot episode and

GalinKa [24]

Let's first denote:

F - a favorable response

F' - an unfavorable response

S - successful

We know that:

$P(F) = 0.6\\\\P(F')=0.4\\\\P(F\cap S)=0.5\\\\P(F'\cap S)=0.3$

So, from the conditional probability, we can calculate:

$P(S|F) = \dfrac{P(S\cap F)}{P(F)} = \dfrac{0.5}{0.6}=\dfrac{5}{6}\approx\boxed{0.83}$

Answer E.

5 0

3 years ago

Find the area of the shape shown below.

disa [49]

Answer: 31.5 square units

Explanation:

The area of the rectangle is length*width = 7*3 = 21 square units

The area of the triangle is 0.5*base*height = 0.5*7*3 = 10.5 square units

The combined area is 21+10.5 = 31.5 square units

8 0

2 years ago