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Setler [38]
3 years ago
15

Two straight edges of a pizza slice meet at an angle of 30°. If the pizza has a radius of 12

Mathematics
1 answer:
melisa1 [442]3 years ago
8 0

Answer:

<h3>area of the slice:      A = 12π in² ≈ 37.7 in² </h3><h3>lenght of its crust:  L = 24π in ≈ 6.28 in</h3>

Step-by-step explanation:

R = 12 in

360°:30° = 12

so the area of the slice is ¹/₁₂ of whole pizza

A = ¹/₁₂•πR² = ¹/₁₂•π•12•12 = 12π in² ≈ 37.7 in²

Crust is the perimeter of pizza so crust of the slice is ¹/₁₂ of the perimeter:

L = ¹/₁₂•2πR = ¹/₁₂•2π•12 = 2π in ≈ 6.28 in

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3 0
3 years ago
After breaking your penny bank, you notice that you have $4.87 in quarters ($0.25), dimes ($0.10), nickels ($0.05), and pennies
ira [324]

Answer: Option 'c' is correct.

Step-by-step explanation:

Let the number of dimes  be 'x'.

Let the number of nickels  be '\dfrac{3}{2}x'.

Let the number of pennies be \dfrac{3}{2}\times 2x=3x

Let the number of quarters be '3x-34'.

As we know that

1 quarter = $0.25

1 dime = $0.10

1 nickel = $0.05

1 penny = $0.01

According to question, we get that

0.10x+0.05\times \dfrac{3x}{2}+0.01\times 3x+0.25(3x-34)=4.87\\\\0.10x+0.075x+0.03x+0.75x-8.5=4.87\\\\\\0.955x=4.87+8.5\\\\0.955x=13.37\\\\x=\dfrac{13.37}{0.955}\\\\x=14

So, the number of pennies is given by

3x=3\times 14=42

Hence, Option 'c' is correct.

3 0
2 years ago
I just got back from winter break for my school and I already forgot everything INCLUDING the seriously easy things ;)
Natasha_Volkova [10]

Answer:

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Step-by-step explanation:

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8×2=16

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Hope this helps!

7 0
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3 years ago
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