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Goshia [24]
3 years ago
14

The perimeter of a rectangle is 53 inches. The combined length of the two shorter sides is 18 inches. What is the length of each

of the longer sides? Complete the sentences to write an equation to model this problem.
Mathematics
1 answer:
Artist 52 [7]3 years ago
7 0

Answer:

17.5 in

Step-by-step explanation:

Step one:

given

The perimeter of a rectangle is 53 inches

let the two shorter sides be the width w

so w+w= 18in

the two longer sides is L

L+L=2l

Step two:

but the expression for the perimeter of a rectangle is

P=2W+2L

53= 18+2L

53-18=2L

35=2L

divide both sides by 1

L=35/2

L=17.5

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32.1869

Step-by-step explanation:

Formula :

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4 0
2 years ago
1.) Find the value of the discriminant and the the number of real solutions of
ruslelena [56]
Hi there!

When we have an equation standard form...
a {x}^{2} + bx + c = 0
...the formula of the discriminant is
D = b^2 - 4ac

When
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D < 0 we don't have real solutions

1.) Find the value of the discriminant and the the number of real solutions of
x^2-8x+7=0

Plug in the values from the equation into the formula of the discriminant

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~ Hope this helps you.
4 0
3 years ago
Read 2 more answers
While surveying Overlook Cave, Mike measures the angle of elevation from his line of sight to the top of a rock formation as 22°
Kaylis [27]

Answer:

The rock formation is approximately 7 feet tall.

Step-by-step explanation:

<em>We can visualize this situation as a triangle and know that the bottom side is </em><em>10</em><em> and the angle of elevation (the angle created by Mike and the ground, looking to the top of a rock). With this information, we can use tangent to solve.</em>

<em>x = the height of the rock formation</em>

tan(22°) = x/10

10 tan(22°) = x

x = ~4.04 feet

<em>We also have to add the </em><em>3 feet</em><em> to it because it is being measured 3 feet above the floor.</em>

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7 0
3 years ago
How is finding the area of a trapezoid different from finding the area of a parallelogram and a triangle?
trasher [3.6K]
There are different formulas for each different shape.
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3 years ago
Elle placed a bucket under a leaky roof. The bucket was 310 full after 25 of an hour. How much water is leaking per hour?
kvasek [131]

Answer:

3/4 bucket

Step-by-step explanation:

Elle placed a bucket under a leaky roof. The bucket was 3/10 full after 2/5 of an hour. How much water is leaking per hour

Water leaking : time taken

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4 0
3 years ago
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