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NNADVOKAT [17]
3 years ago
10

A pizza has a diameter of 14 inches each piece has a central angle of 30° what is the distance around the outside of the crust t

he arc length

Mathematics
1 answer:
jonny [76]3 years ago
6 0

Answer:

The distance is 2.33 π

Step-by-step explanation:

First we have to calculate the perimeter of the circle with the following formula:

r = 14in

c = π * 2r

Now we replace the value of r

c = π * 2 * 14

c = π * 28

c = 28π

Now we have to multiply it by 30/360 which is the fraction that represents the arc over the entire circumference

28π * 30/360 = 2 1/3 π = 2.33 π

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Step-by-step explanation:

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a woman has $28,000. part is invested for one year in a certificate of deposit paying 7% interest, and the remaining amount in c
alexira [117]

Answer:

Amount invested at 7% = 16000

Amount invested at 9% = 12000

Step-by-step explanation:

Let x be the amount invested at 7% and y be the amount invested at 9%.

Since the total amount invested is $28000, therefore, we can set up the first equation as:

x+y=28000

Secondly, we are give that sum of two investments is $2200. Therefore, we can write the second equation as:

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Now we need to solve these two equations to get the values of x and y.

First of all, we multiply the second equation with 100 in order to get rid of decimal values.

(0.07x+0.09y)*100=2200*100\\7x+9y=220000

Let us use substitution method here. First of all we will solve for y from first equation and plug that into second equation.

y=28000-x

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