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2 years ago

A square has an area of 81x square cm. What is the perimeter of the square ?

Mathematics

1 answer:

Fudgin [204]2 years ago

6 0

Answer:

The perimeter of the square is $36\sqrt{x}\ cm$

Step-by-step explanation:

step 1

Find the length side of the square

we know that

The area of a square is equal to

$A=b^{2}$

where

b is the length side of the square

we have

$A=81x\ cm^{2}$

substitute and solve for b

$81x=b^{2}$

square root both sides

$b=9\sqrt{x}\ cm$

step 2

Find the perimeter of the square

we know that

The perimeter of the square is equal to

$P=4b$

we have

$b=9\sqrt{x}\ cm$

substitute

$P=(4)9\sqrt{x}$

$P=36\sqrt{x}\ cm$

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The table shows a pattern of exponents.<br><br> What is the pattern as the exponents decrease?

Marrrta [24]

Answer:

Option C is correct.

Step-by-step explanation:

We need to find the pattern as the exponent decreases.

the first value in the table is 125.

if we divide 125 by 5 i.e 125/5 we get 25

the next value in the table is 25

if we divide 25 by 5 i.e 25/5 we get 5

the next value in the table is 5

if we divide 5 by 5 i.e 5/5 we get 1

the next value in the table is 1

if we divide 1 by 5 i.e 1/5 we get 1/5

the next value in the table is 1/5

if we divide 1/5 by 5 i.e 1/5*5 we get 1/25

the next value in the table is 1/25

So, the pattern is if we divide the previous value by 5 we get the next value in the table.

So, Option C is correct.

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2 years ago

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A density curve for all the possible temperatures between 0 degrees F and 40 degrees F is a rectangle. What is the height of the

Eddi Din [679]

Answer:

Concept: Higher Level Mathematics

You have a density curve, aka probability
You are asked to find the height
Hence 0-40F has 40 total integers or values of X(probability)
Hence you have a total Area of
$\binom{40}{0}$
Integrate f(x) to get 0.025.
Hence the answer is A
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2 years ago

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Can somebody pls show me how to solve this?

fomenos

Answer:

C. 52.5

Step-by-step explanation:

The total from W(-20) to Z(120) is 140.

You can add up all of the numbers in the ratio, 2:3:3, to get 8

Divide 140 by 8 to get 17.5

Multiply 17.5 times the number in the ratio for each segment, so the new ratio would be 35 : 52.5 : 52.5

Since you are trying to find segment XY, which was the 2nd number in the ratio, you would get your answer as 52.5

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2 years ago

What is the distance between the points (-6,7) and (-1,1)?

Nataly_w [17]

Answer:

$\sqrt{61}$

Step-by-step explanation:

To find the distance, we first do B - A, where B is (-6, 7) and A is (-1, 1):

(-6, 7) - (-1, 1) = (-6+1, 7-1) = (-5, 6)

Imagine it as a triangle, where the hypotenuse is the distance, and -5 and 6 are the lengths of the sides.

To find the hypotenuse (Pythagorean Theorem): $\sqrt{(-5)^2+6^2} =\sqrt{25+36} =\sqrt{61}$

The answer is the square root of 61.

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2 years ago

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Find a fraction equivalent to 5/7 whose squared terms add up to 1184.

bogdanovich [222]

The system of equations of two unknowns is formulated and solved.

$\large\displaystyle\text{$\begin{gathered}\sf \bf{ \left\{\begin{matrix} \ \ \ \dfrac{x}{y} = \dfrac{5}{7} \\ x^2+y^2 = 1184 \end{matrix}\right. \ \Longrightarrow \ x=\dfrac{5}{7}y } \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{ \left (\dfrac{5}{7}y \right )^2+y^2=1184\ \Longrightarrow\ 25y^2+49y^2=58016 } \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{74y^{2}=58016} \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \ \ \ \ \ y^{2}=784 } \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \ \ \ \ y=\pm\sqrt{784}=\pm28 } \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{ x=\dfrac{5}{7}(\pm 28)=\pm 20 } \end{gathered}$}$

The fraction that satisfies the request is $\bf{\dfrac{20}{28}}$ , since in $\bf{\dfrac{-20}{-28}}$ the negative signs are canceled and the first fraction is obtained.

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1 year ago