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2 years ago

Question 13 of 40

Mathematics

1 answer:

eduard2 years ago

3 0

Answer:

b i think

Step-by-step explanation:

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If the diagonal of a square is approximately 12.73, what is the length of its sides?

Alja [10]

Answer:

The length of the sides of the square is 9.0015

Step-by-step explanation:

Given

The diagonal of a square = 12.73

Required

The length of its side

Let the length and the diagonal of the square be represented by L and D, respectively.

So that

D = 12.73

The relationship between the diagonal and the length of a square is given by the Pythagoras theorem as follows:

$D^{2} = L^{2} + L^{2}$

Solving further, we have

$D^{2} = 2L^{2}$

Divide both sides by 2

$\frac{D^{2}}{2} = \frac{2L^{2}}{2}$

$\frac{D^{2}}{2} = L^2$

Take Square root of both sides

$\sqrt{\frac{D^{2}}{2}} = \sqrt{L^2}$

$\sqrt{\frac{D^{2}}{2}} = L$

Reorder

$L = \sqrt{\frac{D^{2}}{2}}$

Now, the value of L can be calculated by substituting 12.73 for D

$L = \sqrt{\frac{12.73^{2}}{2}}$

$L = \sqrt{\frac{162.0529}{2}}$

$L = \sqrt{{81.02645}$

$L = 9.001469325$

$L = 9.0015$ (Approximated)

Hence, the length of the sides of the square is approximately 9.0015

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2 years ago

The legal permitted speed limit for all vehicles near a school zone is

Alenkasestr [34]

C. 25 miles per hour

8 0

2 years ago

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Two consecutive integers have a sum of 75. Find the integers.

Pie

Answer:

37 and 38

Step-by-step explanation:

let the consecutive integers be x-1 and x

If their sum is 75

x-1+x = 75

2x - 1 = 75

2x = 75+1

2x = 76

x = 76/2

x = 38

First integer = x - 1

First integer = 38-1 = 37

Second integer is 38

Hence the integers are 37 and 38

7 0

2 years ago

study the spinner below. if the wedges 2 and 5 are twice the area of the other wedges what is the likelihood of landing on 2 or

Anuta_ua [19.1K]

Answer:

a. 1/2

Step-by-step explanation:

7 0

3 years ago

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A rectangle has a length of 4 mm has an area is 44 mm² width of the rectangle is

nordsb [41]

The answer is : w=1.1×10^7mm

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2 years ago

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