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slava [35]
3 years ago
8

The figure shown is a rectangle. The green shape in the figure is a square. The blue and white shapes are rectangles, and the ar

ea of the blue rectangle is 24 square inches.

Mathematics
2 answers:
mixas84 [53]3 years ago
7 0
What is the question?

denpristay [2]3 years ago
3 0

The question is incomplete. So, here is the complete question.

The figure shown (in the attachment) is a rectangle. The green shape in the figure is a square. The blue and white shapes are rectangles and the area of the blue rectangle is 24 square inches. A.) Write an expression for the area of the entire figure that includes one exponent. Then find the area. B.) Find the dimensions of the entire figure.

Answer: A.) The expression is A_{t} = (2*6) + (8*3) + (6^{2} ) and total area is 72 square inches.

B.) width = 8in and length = 9in.

Step-by-step explanation: Area of a rectangle is A = width*length.

From the figure, we know the area and the measurements of the white rectangle: width = 2 inches; length = 6 inches.

So the area for white is A_{w} = 2*6

The green shape is a square, which means width = length. So, A_{g} = 6*6

For the blue shape:

length = length of green + width of white

length = 6+2 = 8

To determine the width, we use the area of blue.

A_{b} = length*width

width = \frac{A_{b} }{length}

width = \frac{24}{8}

width = 3

So, the area of the entire figure is A_{t} = A_{w} + A_{b} + A_{g}

Substituing, we have:

A.) A_{t} = A_{w} + A_{b} + A_{g}

A_{t} = (2*6) + (8*3) + (6^{2} )

A_{t} = 72 square inches

B.) The dimensions of the entire figure are:

width = 6 + 2 = 8 in

length = 6 + 3 = 9 in

Therefore, the figure has 8 inches of width and 9 inches of length.

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2 years ago
Which one of the following is a true
Marina86 [1]

Answer:

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2 years ago
A membership committee of three is formed from four eligible members. Let the eligible members be represented by A, B, C, and D.
yKpoI14uk [10]

The correct statement is:

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  • If persons B and C must be on the committee, there are two ways to form the committee.

It is given that:

A membership committee of three is formed from four eligible members.

1) There are four ways to choose the committee.

This statement is true.

Since we have to choose 3 members out of the 4 members so we can use the method of combination.

2) There are three ways to form the committee if person D must be on it.

This statement is also true.

Since D has to be in the committee, this means we have to choose 2 more people out of the three people to form the committee.

3) If seven members are eligible next year, then there will be fewer combinations.

This statement is wrong.

Since we have to choose 3 members out of 7 members so the number of possible combinations will be:

There are 35 combinations possible.

4) If persons B and C must be on the committee, there are two ways to form the committee.

If B and C have to be in the committee then we have to choose just one person out of the two people left.

Hence, the statement is true.

5) If persons A and C must be on the committee, then there is only one way to form the committee.

If A and C have to be on the committee then as in the last option we have to choose any one of the two-person left.

So possible number of ways is 2.

Hence, the statement is false.

Learn more about committee here: brainly.com/question/425830

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<em />

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If persons B and C must be on the committee, there are two ways to form the committee.

If persons A and C must be on the committee, then there is only one way to form the committee.

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Yuri [45]

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Step-by-step explanation:

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