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2 years ago

A woman making $32,000

Mathematics

1 answer:

Tpy6a [65]2 years ago

4 0

Percentage increase= $768÷32000=0.024

=0.024×100=2.4%

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The combined area of a pair of congruent rectangles can be represented, in square units, by the expression 18y^2-818y 2 −8. The

sveta [45]

Answer:

$Perimeter = 12y$

Step-by-step explanation:

Given

$Area = 18y^2 - 8$ -- two rectangles

Required

Determine the perimeter of one of the rectangles

First, calculate the area (A) of 1 rectangle

$A =\frac{1}{2}Area$

$A =\frac{1}{2}(18y^2 - 8)$

$A =9y^2 - 4$

Express as difference of two squares

$A =(3y - 2)(3y+2)$

Area is calculated as:

$A = Length * Width$

So, by comparison:

$Length = 3y - 2$

$Width = 3y + 2$

The perimeter is:

$Perimeter = 2 *(Length + Width)$

$Perimeter = 2 *(3y-2+3y+2)$

Collect Like Terms

$Perimeter = 2 *(3y+3y-2+2)$

$Perimeter = 2 *(6y)$

$Perimeter = 12y$

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2 years ago

All integers less than or equal to -4

klasskru [66]

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3 years ago

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The square root of 71 can be found between which two consecutive whole numbers?

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The square root of 71 is equal to 8.426149773176359...., which is between 8 and 9.

To check: square of 8 is 64, and of 9 is 81: 71 is between those two numbers, as it should be.

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