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Mariana [72]
2 years ago
6

Write an equation of a circle whose center is (-5,4) and whose diameter is 12

Mathematics
1 answer:
musickatia [10]2 years ago
3 0

Answer:

(x + 5)² + (y - 4)² = 36

Step-by-step explanation:

The equation of a circle in standard form id

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (- 5, 4) and r = 12 ÷ 2 = 6 , thus

(x - (- 5))² + (y - 4)² = 6², that is

(x + 5)² + (y - 4)² = 36

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an art teacher uses 1 quart of blue paint each month.in one year,how many gallons of paint will she use
kupik [55]
3 gallons of blue paint.

4qt = 1gal
12/4 = 3
7 0
2 years ago
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Eight children sit together at story time. Seven children sit in a circle and one child sits in the middle to tell the story. In
coldgirl [10]

Answer:

4

Step-by-step explanation:

4ways

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3 0
2 years ago
Sylvia wants to mix 100 pounds of Breakfast Blend coffee that will send for $25 per pound. She is using two types of coffee to c
Rainbow [258]

Answer: Sylvia should use 35 pounds of Kona coffee and 65 pounds of Columbian coffee

Step-by-step explanation:

Let x represent the number of pounds of Kona coffee that Sylvia should use.

Let y represent the number of pounds of Columbian coffee that Sylvia should use.

Sylvia wants to mix 100 pounds of Breakfast Blend coffee. This means that

x + y = 100

She is using two types of coffee to create the mixture. Kona coffee sells for $51 per pound and Columbian coffee sells for $11 per pound and the mixture would sell for $25 per pound.

This means that

51x + 11y = 2500 - - - - - - - - 1

Substituting x = 100 - y into equation 1, it becomes

51(100 - y) + 11y = 2500

5100 - 51y + 11y = 2500

- 51y + 11y = 2500 - 5100

- 40y = - 2600

y = - 2600/-40

y = 65

x = 100 - y

x = 100 - 65 = 35

6 0
2 years ago
Which ordered pair is the best approximation of the exact solution?
tino4ka555 [31]
For this case what you should do is observe the table that the values of y of both functions are as similar as possible.
 We observed that:
 For the x 1.6 coordinate we have:
  y = 1.2

y = 1.4
 Therefore, a good approximation of the solution is:
 \frac{(1.2 + 1.4)}{2} = 1.3 


 The ordered pair solution is:
 (1.6, 1.3)
 Answer:
 
(1.6, 1.3)option A
4 0
2 years ago
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Find the volume of a right circular cone that has a height of 12.2 cm and a base with a circumference of 18.5 cm. Round your ans
loris [4]

Answer:

110.7 cm³ to the nearest tenth

Step-by-step explanation:

The volume V of a cone whose circular base has a radius r and a height h is given as

V = 1/3 πr²h

where π = 22/7

Given the circumference of the circular base as 18.5cm, we must find the radius before we can computed the volume. The relationship between the radius and the circumference is such that the circumference C

= 2πr

hence,

r = C/2π

= 18.5/2π

since the height of the cone is 12.2 cm, the volume V

= 1/3 * π * (18.5/2π)² * 12.2

= 110.71 cm³

5 0
2 years ago
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