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Sauron [17]
3 years ago
13

The baking sheet shown holds 12 cookies. Each cookie has a diameter of 3 inches.

Mathematics
1 answer:
lina2011 [118]3 years ago
6 0

Answer:

23 in^2

Step-by-step explanation:

We need to find the area of the baking sheet and the area of the 12 cookies. Then we subtract the area of the cookies from the area of the baking sheet.

Baking sheet:

length = 4 cookies = 4 * 3 in. = 12 in.

width = 3 cookies = 3 * 3 in. = 9 in.

area = length * width = 12 in. * 9 in. = 108 in.^2

Cookies:

diameter = 3 in.

radius = diameter/2 = 3 in./2 = 1.5 in.

area of 1 cookie = (pi)r^2

area of 12 cookies = 12(pi)r^2 = 12(3.14159)(1.5 cm)^2 = 84.823 in.^2

area of unused space =

= area of baking sheet  area of 12 cookies

= 108 in.^2 - 84.823 in.^2

= 23.177 in.^2

Answer: 23 in^2

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Answer:

x = 3, y = 2

Step-by-step explanation:

Substitute the values of x from each alternative in the previous <em>question</em>, then solve for y. This is depicted below.

  • <em>A. y = -7, x = 5, 4(5) + 2y + 3 = 19</em>
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Only the third option has a y value that is <em>comparable</em> to the value in the computations, according to the calculations.

As a result, the letter C is the correct response.

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A football player gained x yards rushing. On the next down, he gained 32 yards. What expression represents the number of yards h
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You deposit $5000 in a bank account that pays 3.5% annual
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3 years ago
In which diagram do angles 1 and 2 form a linear pair?
rodikova [14]

The diagram where angles 1 and 2 form a linear pair is D. A horizontal line has 1 line extending from it. Angles 1 and 2 are formed.

<h3>What is a linear pair?</h3>

It should be noted that a linear pair simply means angles that are formed when two lines intersect each other at a single point.

In this case, when a horizontal line has 1 line extending from it. Angles 1 and 2 are formed. This depicts a linear pair

In conclusion, the correct option is D.

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Certain tubes manufactured by a company have a mean lifetime of 800 hours and a standard deviation of 60 hours. Find the probabi
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Answer:

Step-by-step explanation:

given that certain tubes manufactured by a company have a mean lifetime of 800 hours and a standard deviation of 60 hours.

Sample size n =16

Std error of sample mean = \frac{\sigma}{\sqrt{n} } \\= 15

x bar follows N(800, 15)

the probability that a random sample of 16 tubes taken from the group will have a mean lifetime

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