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aleksandr82 [10.1K]
3 years ago
14

4) How much pizza sauce is needed to cover a 16" pizza? (Note: 16" is the diameter of the pizza.) A) 50.24 in2 B) 200.96 in2 C)

803.84 in2 D) 3215.36 in2
Mathematics
1 answer:
never [62]3 years ago
4 0
In order to get how much is being covered, we need to know the formula of the area of a circle.
Area = pi * r^2
Area = pi * (16/2)^2
Area = pi * 8^2
Area = pi * 64
Area = 200.96 in^2

So the correct answer is letter B. 200.96 in^2
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Step-by-step explanation:

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1) Solve the following system of equations algebraically. Give your solution as two
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For this case we have the following system of equations:

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Equating both equations we have:

x ^ 2 + 7x + 12 = 2x + 8\\x ^ 2 + 7x-2x + 12-8 = 0\\x ^ 2 + 5x + 4 = 0

We must find the solutions, for this we factor. We look for two numbers that, when multiplied, result in 4 and when added, result in 5. These numbers are 4 and 1:

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Then, the factorized equation is of the form:

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y_ {1} = 2 (-4) + 8 = -8 + 8 = 0\\y_ {2} = 2 (-1) + 8 = -2 + 8 = 6

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(x_ {1}, y_ {1}): (- 4,0)\\(x_ {2}, y_ {2}): (- 1,6)

8 0
3 years ago
The James family hosted an independent day party they expected 70 gusts but 7 times fewer showed up how many phone attend the pa
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6 0
3 years ago
The monthly amounts spent for food by families of four receiving food stamps approximates a symmetrical, normal distribution. Th
e-lub [12.9K]

Answer:

95% of monthly food expenditures are between $110 and $190.

Step-by-step explanation:

Given : The monthly amounts spent for food by families of four receiving food stamps approximates a symmetrical, normal distribution. The sample mean is $150 and the standard deviation is $20.

To find : Using the Empirical rule, about 95% of the monthly food expenditures are between which of the following two amounts?

Solution :

At 95% of the data is between two standard deviation to left and right of the mean is given by,

To the left side, \bar{x}-2\sigma

To the right side, \bar{x}+2\sigma

We have given,

The sample mean \bar{x}=\$150

The standard deviation \sigma=\$20

Substitute in the formula,

\bar{x}-2\sigma

=150-2(20)

=150-40

=110

\bar{x}+2\sigma

=150+2(20)

=150+40

=190

Therefore, 95% of monthly food expenditures are between $110 and $190.

6 0
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