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Gemiola [76]
3 years ago
9

The figure shown is created by joining three rectangles. Enter the area of the figure, in square centimeters. Round to the neare

st hundredth.

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
8 0

Answer:

46.75

Step-by-step explanation:

first, separate the floor into 3 different rectangles to calculate the area and then add them together.

area of rec=L*B

rec 1: 5.5*4=22

rec 2: (6.5-3)*(8.5-3-4)=5.25

rec 3:3*6.5=19.5

Then:

22+5.25+19.5=46.75

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A carpenter is putting a skylight in a roof. If the roof measures 10 + 8 by 8 + 6 and the skylight measures + 5 by 3 + 4, what i
Usimov [2.4K]

Answer:

The area is: 77x^2 + 105x + 28, option b.

Step-by-step explanation:

Rectangular area:

The area of a rectangular space is given bt the multiplication of its measures.

Area of the roof:

Dimensions of 10x + 8 and 8x + 6. So

A_{r} = (10x+8)(8x+6) = 80x^2 + 60x + 64x + 48 = 80x^2 + 124x + 48

Area of the skylight:

Dimensions of x + 5 and 3x + 4. So

A_{s} = (x+5)(3x+4) = 3x^2+4x+15x+20 = 3x^2 + 19x + 20

What is the area of the remaining roof after the skylight is built?

Total subtracted by the skylight, which is a subtraction of a polynomial, in which we subtract the like terms. So

A_{r} - A_{s} = 80x^2 + 124x + 48 - (3x^2 + 19x + 20) = 80x^2 - 3x^2 + 124x - 19x + 48 - 20 = 77x^2 + 105x + 28

The area is: 77x^2 + 105x + 28, option b.

3 0
2 years ago
The diagram represents an enlargement of a rectangle by a scale factor of 4.
Tpy6a [65]

Answer:

D. 16 inches by 8 inches

Step-by-step explanation:

We have been given an image of two rectangles and we are asked to find the dimensions of the enlarged rectangle.

Since we have been given that the original rectangle is enlarged b a scale factor of 4, so to find the dimensions of enlarged rectangle we will multiply the dimensions of original rectangle by 4.

\text{Length of enlarged rectangle}=4\times 4\text{ inch}

\text{Length of enlarged rectangle}=16\text{ inch}

\text{Width of enlarged rectangle}=4\times 2\text{ inch}

\text{Width of enlarged rectangle}=8\text{ inch}

Therefore, the dimensions of enlarged rectangle are 16 inches by 8 inches and option D is the correct choice.

6 0
3 years ago
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Quadrilateral ABCD is rotated 90° about the origin. What are the coordinates
Ilya [14]

Answer:

The Answer Would Be C. A'(-5, -5), B'(-5, -1). C'(-2,-1).

D(5, -1)

Quick math. ;)

6 0
3 years ago
Factor completely y^2-xy-56x^2
olga2289 [7]
You can factor this out by thinking of the factors of 56 that have a sum of -1. 7 and 8 are factors of 56 and to get a sum of -1, 8 should be negative. 7 + -8 = -1

So y^{2} - xy -  56x^{2} factored out is (y+7x)(y-8x)

We can check this using FOIL
F = (y)(y) = y^{2}
O = (y)(-8x) = -8xy
I = (7x)(y) = 7xy 
L = (7x)(-8x) = -56x^{2}
y^{2} - 8xy + 7xy - 56x^{2} Combine like terms
y^{2} - xy - 56x^{2}
3 0
3 years ago
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What is the best estimate of 49% of<br> 598
Maslowich
49% of 598 = 598*49/100 = 293.02 
<span>    </span>      
4 0
3 years ago
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