Given:
A right prism has height 7½ and triangular bases with sides of length 5, 12, and 13.
To find:
The total surface area of the prism.
Solution:
We have,
Height of prism = 7½ = 7.5
Sides of triangular base are 5, 12, 13. These sides of Pythagorean triplets because



So, the base of the prism is a right triangle.
Area of a triangle is



The area of the base is equal to the area of the top, i.e.,
sq units.
Perimeter of the base is


The curved surface area of the prism is



Now, the total area of the prism is



Therefore, the total surface area of the triangular prism is 285 square units.
Answer:
5
Step-by-step explanation:
5x5=35
1) 0.48 3 2) 7/8 3) 7 1/8
15) factor out cos: cos(x)(sin(x)+1)=0
Now this is true when either cos(x)=0 (x=pi/2 and 3pi/2)
Or when sin(x)=-1 (x=3pi/2)
So it's solutions are pi/2 and 3pi/2
121 of the green beans will be shorter than 13 centimeters.
First, we need to evaluate the expression below to find the z-score.
(13 - 11.2) / 2.1. = 0.86
The matching percent for this z-score is 0.8051.
Multiplying 0.8051 by 150 gives us about 121 green beans.