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Sphinxa [80]
4 years ago
13

A trampoline has an area of 49 pi square feet. what is the diameter of the trampoline?

Mathematics
1 answer:
nordsb [41]4 years ago
4 0
The area of a circle is pi times the radius squared. Set up the equation pi x r squared = 49 pi square feet. Divide both sides of the equation by pi. 
r squared = 49 square feet. Take the square root of both sides. r = 7 feet.
The diameter of the trampoline is double the radius which is 14 feet.
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What is the standard form of the equation of a circle that has its center at (-2, -3) and passes through the point (-2, 0)?
Vlada [557]

Answer:

A.  (x+2)^2 + (y+3)^2 = 9

Step-by-step explanation:

Equation of a circle is

(x-x_1)^2+(y-y_1)^2=r^2    ------------- (1)

Here

(x_1, y_1) = (-2, -3)

Radius is distance from center to circumference

r=\sqrt{(-2+2)^2+(-3-0)^2}

r=3

Substituting values in equation (1)

(x+2)^2 + (y+3)^2 = 9

7 0
3 years ago
5. (5 points) Write the first 5 terms of the sequence if a1 = 9 and an-1 +n
Ivanshal [37]

Answer:

9,4,-1,-6,-11

Step-by-step explanation:

When n = 1: a(1+1) =a(1) +1

                   a(2) = -9 +1

                   a(2) = -8

When n = 2: a(2+1) =a(2) + 2

                   a(3) = -8 + 2

                    a(3) = -6

When n = 3: a(3+1) = -6 + 3

a(4) = -3

6 0
3 years ago
Use the number line below, where , RS=6y+2, ST=15y+9 and RT=5y-13. Find
Brrunno [24]

Answer:

RS = - 7

ST = - 13.5 = - 13½

RT = - 20.5 = - 20½

Step-by-step explanation:

From the question given above, the following were obtained:

RS = 6y + 2

ST = 15y + 9

RT = 5y - 13

To obtain RS, ST and RT, we must first obtain the value of y. This can be obtained as follow:

From diagram above, it is evident that:

RT = RS + ST

RS = 6y + 2

ST = 15y + 9

RT = 5y - 13

5y - 13 = 6y + 2 + 15y + 9

5y - 13 = 6y + 15y + 2 + 9

5y - 13 = 21y + 11

Collect like terms

5y - 12y = 11 + 13

- 16y = 24

Divide both side by - 16

y = 24/ - 16

y = - 1.5

Finally, we shall determine RS, ST and RT as follow:

RS = 6y + 2

y = - 1.5

RS = 6(-1.5) + 2

RS = - 9 + 2

RS = - 7

ST = 15y + 9

y = - 1.5

ST = 15(-1.5) + 9

ST = - 22.5 + 9

ST = - 13.5 = - 13½

RT = 5y - 13

y = - 1.5

RT = 5(-1.5) - 13

RT = - 7.5 - 13

RT = - 20.5 = - 20½

3 0
3 years ago
Shelia works 8 hours per day Monday, Wednesday, and Friday, and 6 hours a day on Tuesday and Thursday. She does not work on Satu
diamong [38]

the answer is 75$.........

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4 0
3 years ago
Read 2 more answers
Help agaaain on this area
slava [35]

Answer:

12cm²

Step-by-step explanation:

4×4=16. This is the area of the shaded region PLUS the unshaded region.

2×2=4. This is the area of the unshaded region.

Subtract unshaded from shaded. 16-4=12.

The area is 12cm²

8 0
3 years ago
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