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Mariana [72]
3 years ago
6

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

Mathematics
1 answer:
musickatia [10]3 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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A geologist visits 90 volcanoes in Alaska and California​
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Answer:

40 volcanoes = 100% of them           15% were in California so if we want to know how much % were in Alaska we do 100% - 15% which equals 85%, so 85% were in Alaska.      Now to find out how many the geologist visited in each state multiply 40 by the percentage.       Number of volcanoes in California = 15% of 40 volcanoes = 0.15 x 40 = 6Number of volcanoes in Alaska = 85% of 40 volcanoes 0.85 x 40 = 34

Step-by-step explanation:

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Step-by-step explanation:

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Read 2 more answers
Mr. Bernard needs to order boxes for his 18-inch diameter "Super Pizza."
Yuliya22 [10]

Answer:

a) Circumference of the circle = 56.52 in

b) Area of the circle = 254.34 in²

Step-by-step explanation:

Mr. Bernard needs to order boxes for his 18-inch diameter "Super Pizza."

Note that:

Pizza is Circular in shape

a) What is the approximate circumference of the Super Pizza? Use 3.14 for π. Show your work.

The formula for the circumference of a circle when given that diameter = πD

Where D = Diameter of the circle = 18 in

π = 3.14

Hence,

Circumference of the circle = 3.14 × 18 in

= 56.52 in

b) What is the approximate area of the Super Pizza? Use 3.14 for π. Show your work.

The formula for the area of a circle = πr²

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Diameter = 18 in

Radius = 18 in/2 = 9 in

The area of the circle = 3.14 × 9²

= 254.34 in²

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3 years ago
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