The answer to represent a check for 10$ is A. -10
The similar circles P and Q can be made equal by dilation and translation
- The horizontal distance between the center of circles P and Q is 11.70 units
- The scale factor of dilation from circle P to Q is 2.5
<h3>The horizontal distance between their centers?</h3>
From the figure, we have the centers to be:
P = (-5,4)
Q = (6,8)
The distance is then calculated using:
d = √(x2 - x1)^2 + (y2 - y1)^2
So, we have:
d = √(6 + 5)^2 + (8 - 4)^2
Evaluate the sum
d = √137
Evaluate the root
d = 11.70
Hence, the horizontal distance between the center of circles P and Q is 11.70 units
<h3>The scale factor of dilation from circle P to Q</h3>
We have their radius to be:
P = 2
Q = 5
Divide the radius of Q by P to determine the scale factor (k)
k = Q/P
k = 5/2
k = 2.5
Hence, the scale factor of dilation from circle P to Q is 2.5
Read more about dilation at:
brainly.com/question/3457976
Answer:
144 units²
Step-by-step explanation:
The net of the right triangular prism consists of 3 rectangles and 2 equal triangles
Let's solve for the area of each:
✔️Area of rectangle 1 = L*W
L = 11
W = 3
Area of rectangle 1 = 11*3 = 33 units²
✔️Area of rectangle 2 = L*W
L = 11
W = 4
Area of rectangle 2 = 11*4 = 44 units²
✔️Area of rectangle 3 = L*W
L = 11
W = 5
Area of rectangle 3 = 11*5 = 55 units²
✔️Area of the two triangles = 2(½*base*height)
base = 4
height = 3
Area of the two traingles = 2(½*4*3)
= 12 units²
✔️Surface area of the right triangle = area of rectangle 1 + area of rectangle 2 + area of rectangle 3 + area of the two triangles
= 33 + 44 + 55 + 12
= 144 units²
