12/1 divided by 1/9, so when dividing by a fraction you want to flip the second numerator and denominator and then multiply. So the new equation would be 12/1 times 9/1. Which would be 108/1

4 0

3 years ago

What is 2 ( 3/2 + 5/3 ) - 1/3 being simplify

dangina [55]

7 0

3 years ago

Valerie is remodeling her home. She decides to replace the old carpet in the living room and wants to know how much carpet she n

PIT_PIT [208]

Answer:

It can be decomposed into the following simplest shapes:

Two Rectangles and one Triangle.

The area is $242\ ft^2$

Step-by-step explanation:

You can observe in the picture attached that it can be decomposed into the following simplest shapes:

Two Rectangles.

One Triangle.

The area of the a rectangle can be found with:

$A=lw$

Where "l" is the length and "w" is the width.

You can identify in the picture that:

$l_A=14\ ft\\w_A=13\ ft-7\ ft=6\ ft\\\\l_B=20\ ft\\w_B=7\ ft$

Substituing values, you get that the areas of the rectangles A and B are:

$A_A=(14\ ft)(6\ ft)=84\ ft^2\\\\\\A_B=(20\ ft)(7\ ft)=140\ ft^2$

The formula for the area of a triangle is:

$A=\frac{bh}{2}$

Where "b" is the base and "h" is the height.

In this case:

$b=20\ ft-14\ ft=6\ ft\\\\h=6\ ft$

Then, its area is:

$A_C=\frac{(6\ ft)(6\ ft)}{2}= 18\ ft^2$

Then, the total area of carpet that Valerie needs for her project is:

$A_t=A_A+A_B+A_C\\\\A_T=84\ ft^2+140\ ft^2+18\ ft^2\\\\AT=242\ ft^2$

7 0

3 years ago

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