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Fynjy0 [20]
3 years ago
7

Perimeter of the quadrilateral is 70 inches. find the lengths of the sides.

Mathematics
1 answer:
mixas84 [53]3 years ago
4 0
To answer the problem above, I assume that the four-sided figure has equal measure of the sides. Let x be the lengths of each side and the equation for the perimeter is,
 
                                      P = 4x

Substituting the known values, 
 
                                      70 in = 4x

The value of x is 17.5 in. 

Therefore, the each side of the quadrilateral is 17.5 inches long. 


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Given the following geometric sequence, find the common ratio: {16, 64, 256, ...}.
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Answer:

The common ratio is 4

Step-by-step explanation:

We need to divide a term by the previous term to find the common ratio in a geometric sequence:

64 ÷ 16 = 4

256 ÷ 64 = 4

By doing it twice we can confirm that the common ratio is 4

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Trigonometry:
Trava [24]

A. The approximate height of the building is 100 m

B. We can use the arc length formula to obtain an approximation of BC since angle A is small.

A.

The approximate height of the building is 100 m

To find the approximate height of the building, we consider the diagram.

From the diagram, we have that using trigonometry,

tanA = BC/AB

Now

  • A = 0.05 radians,
  • BC = height of building and
  • AB = 2 km = 2000 m
<h3 /><h3>Finding the value of BC</h3>

So, making BC subject of the formua, we have

BC = ABtanA

Substituting the values of the variables into the equation, we have

BC = ABtanA

BC =2000tan0.05

BC = 2000 × 0.05

BC = 100 m

So, the approximate height of the building is 100 m

B.

We can use the arc length formula to obtain an approximation of BC since angle A is small.

<h3 /><h3>Arc Length Formula</h3>

We know that the arc length formula L = rФ where

  • r = radius and
  • Ф = angle in radians
<h3 /><h3>The approximate height</h3>

Now BC = ABtanA

We know that Ф ≅ tanФ when Ф is small.

<h3 /><h3>The comparison</h3>

So, BC = AB × A which is the arc length formula with

  • L = BC,
  • r = AB and
  • Ф = A

So, we can use the arc length formula to obtain an approximation of BC since angle A is small.

Learn more about approximate height of building here:

brainly.com/question/3144976

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B. The sum of 3 and a number is -2, what is the number?
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theeeeeeeee answer is -5
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