Answer:
The answer to your questions is below
Step-by-step explanation:
4.-
In a 45°-45°-90° triangle, the length of the legs are "x" and the length of the hypotenuse is x
Then, in this problem, the length of the leg is 7 then the length of the hypotenuse will be 7
5.- In a 30°-60°-90° triangle, the length of the hypotenuse is 2x, the length of the longer leg is x
and the length of the shorter leg is x.
In this problem we have the length of the hypotenuse = 20 and find x.
2x = 20
x = 20/2
x = 10
longer leg = x
6.- nonzero
7.- hypotenuse = 20 cm
Find x
2x = 20
x = 20/2
x = 10
Shoter leg = x = 10 cm
First, find the total area of pizza. The area of a rectangle is length times width.
Area = 21 x 36 = 756 sq. inches
Now, we must divide the total area with the largest square possible without any excess. So, we equate the area of the pizza to area of square:
A = s² = 756
s = 6 √21
Hence, the largest piece square possible has a side of 6 inches. Then, we divide the total area of the pizza by the area of each square piece to find the number of pieces;
756/6² = 21
Thus, there would be 21 pieces of 6-in square piece of pizza.
Answer:
Yes.
Step-by-step explanation:
Both yards do cost the same.
$15.00 divided by 2 is equal to 7.5.
$37.50 divided by 5 is equal to 7.5.
Therefore, both yards cost the same.
Answer: the height of the prism is 14 cm.
Step-by-step explanation:
The formula for determining the volume of a rectangular prism is expressed as
Volume = length × height × width
Volume = LWH
The length of the prism is 3 times the width. It means that
L = 3W
The height is twice the width. This means that
H = 2W
Therefore,
Volume = 3W × × W × 2W = 6W³
The volume of a rectangular prism is 2,058 cubic cm. This means that
2058 = 6W³
Dividing through by 6, it becomes
343 = W³
W = 7
Therefore, the height of the prism would be
H = 2W = 2 × 7
H = 14 cm