When trapezoidal prism undergoes a dilation, the size of the prism changes
The height of the image is 52.2 meters
<h3>How to determine the height of the image?</h3>
The given parameters are:
A1 = 35 m²
A2 = 315 m²
H1 = 5.8 m
To calculate the height of the image, we make use of the following equivalent ratio
A1 : H1 = A2 : H2
So, we have:
35 : 5.8 = 315 : H
Express as fractions
35/5.8 = 315/H
Make H the subject
H = 315 * 5.8/35
Evaluate the product
H = 52.2
Hence, the height of the image is 52.2 meters
Read more about dilation at:
brainly.com/question/3457976
X, y - the numbers
The two numbers are 37 and 21.
Answer:
r = 16
Step-by-step explanation:
Cross multiply:
4 x 20 = r x 5
Simplifying
4 x 20 = r x 5
Multiply 4 x 20
80 = r x 5
Reorder the terms for easier multiplication:
80 = 5r
Solve
80 = 5r
Solve for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-5r' to each side of the equation.
80 + -5r = 5r + -5r
Combine like terms: 5r + -5r = 0
80 + -5r = 0
Add '-80' to each side of the equation.
80 + -80 + -5r = 0 + -80
Combine like terms: 80 + -80 = 0
0 + -5r = 0 + -80
-5r = 0 + -80
Combine like terms: 0 + -80 = -80
-5r = -80
Divide each side by '-5'.
r = 16
Simplify
r = 16
Answer:
The area of the square lawn is 
Step-by-step explanation:
Part 7)
Let
x ----> the length side of the square lawn in meters
we know that
The area of the path is equal to
----> equation A
----> equation B
so
Solve for x
The area of the square lawn is
substitute the value of x
I believe it’s B sorry if I’m wrong
