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svetoff [14.1K]
2 years ago
8

Sheila places a 54 square inch photo behind a 12-inch-by-12-inch piece of matting.

Mathematics
1 answer:
nata0808 [166]2 years ago
3 0
The are of a rectangle is calculated by multiplying the length and the width of the shape. First, we determine the dimensions of this figure. We do as follows:

Width = 12 - 2x - 2x = 12 - 4x
Length = 12 - x - x = 12 - 2x

Area = (Length)(Width)
Area = (12 - 2x )(12-2x)
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Colton has a stone paperweight composed of a triangular pyramid on top of a triangular prism with the dimensions shown below. Us
Eva8 [605]

The area of the base would be found using the area of a triangle formula which is 1/2 x base x height.

The base and height are the two sides perpendicular to each other, which are both 5 inches.

The area of the base = 1/2 x 5 x 5 = 12.5 square inches.

The volume of the triangular prism is the area of the base times the height, which is 4 inches.

Volume of the triangular prism is 12.5 x 4 = 50 cubic inches.

Volume of the triangular prism is 1/3 x area of base x height, which is 7:

Volume of the triangular prism = 1/3 x 12.5 x 7 = 29.17 cubic inches.

Total volume = 29.17 + 50 = 79.17 cubic inches.

3 0
2 years ago
John painted his most famous work,in his country,in 1930 on composition board with perimeter 103.48 in. If the rectangular paint
Alexxandr [17]

Answer:

Width =22.955 in

length =28.785 in

Step-by-step explanation:

let width=x

painting is 5.83 in taller than it is wide

length =x+5.83

Perimeter of rectangle =2 (length+width)

Perimeter of painting =103.48

2(x+x+5.83)=103.48\\2x+5.83=51.74\\2x+51.74-5.83\\2x=45.91\\x=\frac{45}{2} \\x=22.955

width =x=22.955 in

length =x+5.83=22.955+5.83=28.785 n

5 0
2 years ago
Angela drove 82 miles on Monday. She drove 94 on Tuesday. To the nearest hundred, how many miles did Angela drive over the two d
inessss [21]
You just simply add
82+94= 166
4 0
2 years ago
Read 2 more answers
Kristel is considering hiring a moving company. Sanford's Plus charges an initial fee of $125 plus $165 per hour. Quality Moving
Anna35 [415]

Let the number of hours be $x

Initial charges by Sanford's Plus = $125

Per hour charges = $165

Total cost of Sanford's Plus company = 125 + 165x

Initial charges by Quality Moving Company = $200

Per hour charges = $145

Total cost of Quality Moving Company = 200 + 145x

If either company were hired for hours, the total cost would be the same

125 + 165x = 200 + 145x

Add -125 on both sides

125 - 125 + 165x = 200 + 145x-125

165x = 75 + 145x

Add -145 on both sides

165x - 145x = 75

20x = 75

Divide both side by 20, to find the value of x

x = 75/20

x = 3.75 hours

Total cost of Sanford's Plus company = 125 + 165x

x = 12 hrs

Total cost of Sanford's Plus company = 125 + 165(12)

Total cost of Sanford's Plus company = 125 + 1980

Total cost of Sanford's Plus company = $2105

5 0
2 years ago
Read 2 more answers
Draw or write two ways to use a doubles fact to find 6+7
PtichkaEL [24]
Here are a few doubles facts:

5+5=10
2+2=4
3+3=6

A double is simply a pair of identical numbers added together. There's a pair of doubles you can <em>subtract </em>1 from to get 6+7, and there's a pair you can <em>add</em> 1 to get the same answer. What are those pairs?

Hint: If you take the example 3+4, you can either <em>subtract 1</em> from the double 4+4 or <em>add 1</em> to the double 3+3 to obtain your answer.
4 0
2 years ago
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