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Juliette [100K]
3 years ago
10

A circle has center (5, –4) and radius 8. Which gives the equation for the circle

Mathematics
1 answer:
andrew-mc [135]3 years ago
5 0

Answer:

(x-5)^2 + (y+4)^2 =64

Step-by-step explanation:

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Find the surface area of the right triangular prism (above) using its net (below).
lakkis [162]

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

7 0
2 years ago
Divide a 5-inch line into two parts so that one part (a) 2 1/4 inches shorter than the other; (b) 3 times the other.
Ilia_Sergeevich [38]
Part a), solve this system of equations:
x + y = 5
x - y = 2.25
2x = 7.25
x = 3.625
y = 1.375

part b), solve this system of equations:
x + y = 5
x = 3y
y = 1.25
x = 3.75
3 0
2 years ago
Read 2 more answers
mitzi has a rectangular swimming pool. she fills it with water to a depth of 5 feet. the water has a volume of 1200 cubic feet.
ANTONII [103]
To figure out the size of a rectangle that would represent the swimming pool, you will use the formula for volume of a rectangle or prism to solve for the area of the base.

V = Bh
1200 = 5B
B = 240 square feet

To get an area of 240 ft.², you could use the dimensions 10' x 24'. Another possibility would be 8' x 30'.
8 0
2 years ago
Read 2 more answers
What is the value of k ?
seropon [69]
K=10
Here is the equation

180-115=65

(4K+5)+(6k+10)+65=180
8 0
3 years ago
Mr. Wilson's new picnic basket is shaped like a cube. Each side is 11 inches long. What is the volume of the picnic basket?
gayaneshka [121]

Answer:

1331 in^3

Step-by-step explanation:

Well a cube is all identical So followiung the volume for a cube formula

s^3 or in this case 11^3, its 1331.

7 0
3 years ago
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