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2 years ago

Solve for x ‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎ ‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎ ‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎ ‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎

Mathematics

1 answer:

inysia [295]2 years ago

6 0

Answer:

12.699

Step-by-step explanation:

i think if you do 26-22.4, you get the leg of the small triangle which is 3.6

then do Pythagorean theorem

3.6^2 + x^2 = 13.2^2

12.96 +x^2 = 174.24

174.24-12.96

x^2 = 161.28

take square root

x = 12.699

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Help! Need this done quickly! picture is upside down so please flip your screen! sorry!

iogann1982 [59]

Answer:

x=6

Step-by-step explanation:

Hi there!

<u>1) Determine the perimeter of the square</u>

We're given that the perimeters of the square and the rectangle are equal. Therefore, after finding the perimeter of the square, we will also know the perimeter of the rectangle.

Find the side length of the square using the area formula:

$A=l^2$ where l is the side length

Plug in the given area 121 in.²

$121=l^2$

Take the square root of both sides

$\sqrt{121} = \sqrt{l^2} \\11=l$

Therefore, the side length of the square is 11 inches. Plug this into the perimeter formula:

$P=4l$ where l is the side length

$P=4(11)\\P=44$

Therefore, the perimeter of the square is 44 inches. The perimeter of the rectangle is also 44 inches.

<u>2) Determine the value of x</u>

Use the formula for the perimeter of a rectangle:

$P=2(l+w)$ where l is the length and w is the width

Plug in 3x and x-2 as the length and width

$P=2(3x+(x-2))\\P=2(3x+x-2)\\P=2(4x-2)$

Plug in the perimeter 44 in.

$44=2(4x-2)$

Expand the parentheses

$44=8x-4$

Add 4 to both sides to isolate 8x

$44+4=8x-4+4\\48=8x$

Divide both sides by 8 to isolate x

$\frac{48}{8}=\frac{8x}{8} \\6=x$

Therefore, the value of x is 6.

I hope this helps!

4 0

3 years ago

James had $15,345.21 withheld from his income one year. He

puteri [66]

Answer:

$2,373.23

Step-by-step explanation:

-Tax refund is determined by comparing your total income tax to the amount that was withheld for federal income tax.

-Assuming that the amount withheld for federal income tax was greater than your income tax for the year, you will receive a refund for the difference.

#Refund =Withheld -Actual Tax liability=$15345.21-$12971.98=$2,373.23

Hence James' tax refund will be $2,373.23

5 0

3 years ago

Telephone inquiries of 100 IRS "customers" are monitored daily at random. Incidents of incorrect information or other nonconform

oee [108]

such huge question but tuff so sorry

5 0

3 years ago

Given f (x) = 1/4x-3/4<br> Find f^-1

Snowcat [4.5K]

The inverse of a function f(x) is f⁻¹(x) = 4x + 3 after using the concept of the inverse of a function.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

$\rm f(x) = \dfrac{1}{4}x-\dfrac{3}{4}$