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2 years ago

A circle has an 18 inch radius and a shaded sector with a central angle of 50 degrees. What is the area of the shaded sector

1 answer:

5 0

Answer: The area of the sector will be about 141.3 square inches.

First, we need to find the area of the entire circle. The formula is pi(r^2). Inputting 18 for the radius makes the area of the circle about 1017.36 square inches.

Now, we multiply by the area by the size of the sector. It is 50 degree out of the entire 360 degrees. That is about 13.9%.

Multiply 13.9% by 1017.36 to get an area of about 141.3 square inches for the sector.

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yes

Step-by-step explanation:

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2 years ago

Model and solve 4÷2/3=

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3 years ago

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Ramond is putting a fence around his rectangular garden shown above. Before he can build the fence, he needs to find the perimet

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The gardens perimeter is 12 meters.

Explanation:

The garden has a 4m length and a 2m width. The perimeter of any given rectangle is two times the sum of the length and the width of the same rectangle.

Perimeter = 2 × (length of the rectange + width of the rectangle)

Perimeter = 2 × (4m + 2m) = 2 × (6m) = 12 meters.

So the gardens perimeter is equal to 12 meters.
Ramond needs to buy a fence for a garden whose parameter is 12 meters.

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3 years ago

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Step-by-step explanation:

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2 years ago

At one gym, there is a $12 start-up fee, and after that each month at the gym costs $20. At another gym, it costs $4 to startup,

mart [117]

Answer:

In 4 months the cost of both gyms will be the same.

Step-by-step explanation:

At first we need to model the function to calculate the cost of the 2 gyms.

Slope-intercept equation of linear function

$f(x)=mx+b$

where

$m\rightarrow$ slope of line

$b\rightarrow$ y-intercept

Let linear function to calculate total cost of gym be:

$c(n)=mn+b$

where

$c\rightarrow$ total cost of gym

$m\rightarrow$ cost per month (slope)

$n\rightarrow$ number of months

$b\rightarrow$ start-up fee (y-intercept)

For Gym 1

$m=20$ , $b=12$

$c(n)=20n+12$

For Gym 2

$m=22$ , $b=4$

$c(n)=22n+4$

In order to find the number of months the cost of both gyms will be the same, we need to equate both functions and solve for number of months $(n)$

$20n+12=22n+4$

$\\\textrm{Subtracting 22n from both sides}\\20n-22n+12=22n-22n+4\\-2n+12=4\\\textrm{Subtracting 12 from both sides}\\-2n+12-12=4-12\\-2n=-8\\\textrm{Dividing both sides by -2}\\\frac{-2}{-2}n=\frac{-8}{-2}\\n=4\textrm{ months}$

So,

In 4 months the cost of both gyms will be the same.

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3 years ago