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SVEN [57.7K]
3 years ago
12

how much bigger is the area of a pizza with a diameter of 18 inches than the area of a pizza with a diameter of 10 inches

Mathematics
1 answer:
Sauron [17]3 years ago
3 0

Answer:

approximately 3.24 times greater

Step-by-step explanation:

The formula for the area of a circle of radius r is A = πr².  Because we are given the diameter here (not the radius), we substitute d/2 for r in the above formula, obtaining:

A = π(d/2)²

Case 1:  A = π [18 in / 2]² = π(9 in)² = 81π in²

Case 2:  A = π[10 in/2]² =  π[5 in]² = 25π in²

Dividing 81π in² by 25π in² gives us the desired result:

The area of the larger pizza is 81/25 times the area of the smaller one, or approximately 3.24 times greater.

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A-The slope is2/3 and the y-intercept is -2
USPshnik [31]

Answer:

A

Step-by-step explanation:

<h2>How to find the slope? </h2>

The letter <em>m</em> is usually used to refer to the slope. To calculate it, we divide the change in <em>y </em>over the change in <em>x</em>.

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

In order to find this, we must find at least <em>2</em> coordinates that we know the function passes through.

In this case, we can see that the function passes through the point (3,0) and (0,-2).

m=\frac{0-(-2)}{3-0} = \frac{2}{3}

Now that we know that the slope is \frac{2}{3} we can ignore options C and D since \frac{3}{2}  \neq  \frac{2}{3}

<h2>What is the y-intercept? </h2>

The y-intercept is the y value were the function <em>touches</em> the y axis.

In this case, we can see that the only point where the function touches the y axis (the vertical one) is -2

Let me know if you'd like me to explain something in more detail. Good luck!

4 0
3 years ago
Which two segments have the same length?
Natasha2012 [34]

Answer: VW & YZ

Step-by-step explanation:

VW = 8

WX = 5

XY = 7

YZ = 8

Your looking for the same length so it all comes down to which two are equal.

6 0
3 years ago
Read 2 more answers
Dalin is 16 years old. His sister is ā of his age. How old is his sister?<br> years old
Yuliya22 [10]

Answer:

Uh, a what? if its half shes 8, if its third shes 5, if its 1/4 shes 4, if its 1/5 shes 3

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Function A and Function B are linear functions. Compare the two functions and choose all that are correct.
Olegator [25]

Answer:

  2 .The slope of Function A is less than the slope of Function B

Step-by-step explanation:

A graph of Function A shows it has a y-intercept of 4, the same as that of Function B. (Statements 3 and 4 are not correct.)

The slope of Function A is 2, which is less than the slope of 3 that Function B has. (Statement 2 is correct; statement 1 is not.)

_____

<em>More detailed working</em>

The slope of Function A can be figured easily between the points with x-values that differ by 1:

  m = (y3 -y2)/(x3 -x2) = (24-22)/(10-9) = 2/1 = 2 . . . . . Fun A has slope of 2.

The slope of Function B is the coefficient of x in the equation: 3.

__

The y-intercept of Function A can be found starting with point-slope form:

  y -22 = 2(x -9)

  y = 2x -18 +22

  y = 2x +4 . . . . . . . slope-intercept form

The intercept of +4 is the same as that of Function B.

5 0
3 years ago
Read 2 more answers
Which statement(s) describe the graph of the equation x = −2?
Masja [62]
The answer is B
the slope of the line is undefined
4 0
4 years ago
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