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AveGali [126]
2 years ago
10

Complete the explanation of why it is possible to draw more than two different rectangles with an area of 100 square units, but

it is not possible to draw more than two rectangles with an area of 15 square units. The lengths of the sides of the rectangle are whole numbers. 100 has factor pairs, so that many different rectangles can be drawn. 15 only has factor pairs, so only that many different rectangles can be drawn.
Mathematics
1 answer:
Marysya12 [62]2 years ago
7 0

Answer:

100 has <u>5</u> factor pairs, so that many different rectangles can be drawn. 15 only has <u>2</u> factor pairs, so only that many different rectangles can be drawn.

Explanation:

there are 5 pairs of whole numbers that multiplied together will be 100:

  1. 100 x 1 = 100
  2. 50 x 2 = 100
  3. 25 x 4 = 100
  4. 20 x 5 = 100
  5. 10 x 10 = 100

while there are only 2 pairs of whole numbers that multiplied together will be 15:

  1. 15 x 1 = 15
  2. 3 x 5 = 15

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Answer:

<u>$911.25</u>

Step-by-step explanation:

We know:

1 yd = 3 feet

So, 1 cubic yards should be *THREE* times the power of what the initial scale factor is, 3 cubed. That would make it:

1 yd = 3 feet

1^3 yd = 3^3 feet

1 cu. yd. = 27 cu. ft.

That means, the price of 1 cubic feet of sand is 27 times of the price of 1 cubic yd price

33.75 * 27 = <u>$911.25</u>

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3 years ago
What are the zeros of f(x)=x^2-12+36
DochEvi [55]

Answer:

x = 6

Step-by-step explanation:

I think it's supposed to be

y = x² - 12x + 36

Set the equation equal to zero and solve...

0 = x² - 12x + 36

Now factor.  What 2 numbers add to -12, and multiply to 36?

-6 and -6, so our factors are

0 = (x - 6)(x - 6)

So

0 = x - 6, then

6 = x

3 0
2 years ago
A scuba diver descends in the water at a rate of 20 1/2 feet per minute for 2.8 minutes. He immediately changes course when he s
N76 [4]

Answer:

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Step-by-step explanation:

Assumed the starting point is the sea level 0.

<u>After 2.8 min the diver is at position:</u>

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  • 20.5 * 2.8 =
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<u>The position change after next 2 minutes:</u>

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<u>The position of the diver after 4.8 min:</u>

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Distance between (-3, 4/11) and (3, 4/11)
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Answer:

6

Step-by-step explanation:

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(-2,6) (5,-8)

slope = (y2 - y1) / (x2 - x1)
slope = (-8 - 6) / (5 - (-2) = -14/7 = -2 <==

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m = (-2 + 5)/2 , (6 - 8)/2
m = (3/2, -1) <===

distance = sqrt ((x2 - x1)^2 + (y2 - y1)^2)
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d = sqrt 245
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