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olga2289 [7]
2 years ago
7

A rectangular piece of paper has an area of 117 square inches and a perimeter of 44 inches. What are the dimensions of the paper

?
Mathematics
1 answer:
-Dominant- [34]2 years ago
3 0

Answer:

13x9

Step-by-step explanation:

half of perimeret of  rectangle L+W

half of perimeter of  rectangle = 44/2 = 22

L+W=22

LxW=117

  Think of 2 numbers that added =22 and multiplied =117

       13+9 =22

    13x9 =117

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rusak2 [61]
The two triangles are similar triangles. 
The smaller triangle has hypotenuse 6 and a horizontal leg of 4
The large triangle has hypotenuse 6+12=18 and a horizontal leg of x, where x is some number larger than 4

Because the triangles are similar, we can form the proportion below and solve for x
x/4 = 18/6
6*x = 4*18
6*x = 72
6*x/6 = 72/6
x = 12

Final Answer: 12

6 0
3 years ago
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Hank's car travels 600 feet in 20 seconds. Andy's motorcycle travels 300 feet in 12 seconds. Which is faster, the car or the mot
Alexus [3.1K]

Answer:

the car travels faster

Step-by-step explanation:

Since the motorcycle has traveled 300 feet, and the car has traveled 600 feet, we will divide 600 by 2

600 divided by 2 = 300

Hank would have traveled 300 feet in 10 seconds

Andy traveled 300 feet at 12 seconds

Therefore Hanks car travels faster

4 0
3 years ago
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If the length of a side of a square is increased from 4 to 8, which of the following statements is true?
Alex Ar [27]

Answer:

C.) The perimeter is doubled and the area is quadrupled.

Step-by-step explanation:

Original square: side = 4

Area = side^2 = 4^2 = 16 square units

Perimeter = 4 * side = 4 * 4 = 16 units

Larger square: side = 8

Area = side^2 = 8^2 = 64 square units

Perimeter = 4 * side = 4 * 8 = 32 units

Comparison of areas:

(larger square area)/(original square area) = 64/16 = 4

Comparison of perimeters:

(larger square perimeter)/(original square perimeter) = 32/16 = 2

Answer:

C.) The perimeter is doubled and the area is quadrupled.

5 0
3 years ago
Describe the steps you would use to solve the equation 4x + 7 = 15
choli [55]

i would subtract 7 and divide by 4;

4x + 7 = 15

4x = 8

x = 2

8 0
3 years ago
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X³=343-¹ find the positive value of x that makes the equation true
SVETLANKA909090 [29]
x^3=343^{-1}\\\\x^3=(7^3)^{-1}\\\\x^3=7^{-3}\\\\x^3=\left(\frac{1}{7}\right)^3\iff\boxed{x=\frac{1}{7}}
8 0
3 years ago
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