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3 years ago

Select the correct answer.

Mathematics

1 answer:

Nitella [24]3 years ago

5 0

B. all the other questions have one and only one answer. B has several answers depending on the students surveyed

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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

7 0

3 years ago

What is 18/25 as a decimal

Serga [27]

Answer: 0.72

Step-by-step explanation:

Hope that helps :)

4 0

3 years ago

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Distance between (-3,5) an (-4,1)

forsale [732]

Answer:

Step-by-step explanation:

note : distance between A(X1,Y1) an B (X2,Y2) is :

AB= √((X2 - X1)² + (Y2 - Y1)²)

in this exercice : X1 = -3 X2 = - 4 Y1 = 5 Y2 = 1

continue .....calculate AB

3 0

3 years ago

Lana draws a triangle( LMN) on the coordinate plane. What is the perimeter of the triangle( LMN)? Round to the nearest unit.

lys-0071 [83]

Answer:

The answer is "25".

Step-by-step explanation:

Please find the graph in the attachment.

$Longest \ side= 12$

Calculating the triangle two other sides:

$=\sqrt{3^2+6^2}\\\\=(9+36)\\\\=45$

let

$\to \sqrt{45}= 6.7.\\\\\to 6.7\times 2=13.4\\\\\to 13.4+12=25.4 \approx 25$

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2 years ago

Solve the following inequality. n/3>1

lbvjy [14]

N/3>1
n>1*3
n>3 or (3,+∞)

Solution: n>3 or (3, +∞)

3 0

3 years ago

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