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FrozenT [24]
3 years ago
10

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.
A. Write an expression for the area of the entire figure that includes an exponent. Then find the area.

B. Find the dimensions of the entire figure.

Mathematics
1 answer:
VikaD [51]3 years ago
5 0

Answer:

A. (2 × 6) + (3 × 8) + 6²

72 sq. inches.

B. 9 in. by 8 in.

Step-by-step explanation:

The white shape has dimensions of 2 in. by 6 in. and the green shape is a square.

So, the dimension of the green shape is 6 in. by 6 in.

Therefore, the length of the blue shape is (6 + 2) = 8 in.

Now, given that the area of the blue shape is 24 sq. in.

So, the width of the blue shape is \frac{24}{8} = 3 in.

Now, if we consider the total figure, then area of the entire figure = area of the  white shape + area of the green shape + area of the blue shape.

= (2 × 6) + (3 × 8) + 6² (Answer)

= 12 + 24 + 36  

= 72 sq, inches. (Answer)

Now, the length of the entire figure is (6 + 3) = 9 in. and width of the entire figure is (2 + 6) = 8 in.

Therefore, the dimensions of the entire figure will be 9 in. by 8 in. (Answer)

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GenaCL600 [577]

Answer:

44 cents

Step-by-step explanation:

a unit price is how much something costs per one

if it costs 4 dollars for 9, we can do 4/9 to find the unit price

4/9=.4444444....

this to the nearest hundredth is .44 or 44 cents

3 0
3 years ago
Read 2 more answers
⎧
MrRissso [65]

Answer:

f(n)=-5-3n

Step-by-step explanation:

Given the recursive formula of a sequence

f(1)=−8

f(n)=f(n−1)−3

We are to determine an explicit formula for the sequence.

f(2)=f(2-1)-3

=f(1)-3

=-8-3

f(2)=-11

f(3)=f(3-1)-3

=f(2)-3

=-11-3

f(3)=-14

We write the first few terms of the sequence.

-8, -11, -14, ...

This is an arithmetic sequence where the:

First term, a= -8

Common difference, d=-11-(-8)=-11+8

d=-3

The nth term of an arithmetic sequence is determined using the formula:

T(n)=a+(n-1)d

Substituting the derived values, we have:

T(n)=-8-3(n-1)

=-8-3n+3

T(n)=-5-3n

Therefore, the explicit formula for f(n) can be written as:

f(n)=-5-3n

7 0
2 years ago
The area of a rectangular parking lot is 7031m? If the with of the parking lot is 79m, what is its length?
serg [7]
The length of the parking lot is 89m.

To find the length, we can abide by the following formula:

L = A/W

where L is the length, A is the area, and W is the width.

Given this formula, we can set up an equation:

7,031 / 79 = 89

The length of the parking lot is 89 meters.
7 0
1 year ago
Read 2 more answers
Explau why 3.14 us rational but pi is not
saw5 [17]

If  3.14  is rational, why should pi also be rational ?

The answer to your question is:  Because pi is not 3.14 .

8 0
3 years ago
What is the value of a in this linear system?
Sergio [31]

Answer:

Step-by-step explanation:

C

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2 years ago
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