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Juliette [100K]
2 years ago
7

If the length of a rectangle is 120 m and the diagonal measures 130 m what is the perimeter and area of the rectangle

Mathematics
1 answer:
Leviafan [203]2 years ago
5 0

Answer:

Step-by-step explanation:

width=√(130²-120²)=√[10²(13²-12²)]=10√(13+12)(13-12)=10√(1×25)=10×5=50 m

perimeter=2(120+50)=2×170=340 m

area=120×50=6000 m²

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I'm reasking a previous question to make it more clear. This is a Linear Equation that I must solve. It includes fractions (the
Ugo [173]

Assuming the equation is:

\frac{x}{2}-\frac{10x-25}{10}=3(x+3)-(x-14)


When fractions involve numeric denominators, the fractions can be removed by multiplying (both sides) by the LCM of the denominators.


Here the denominators are 2 and 10, hence the LCM is 10.


Multiply by 10 on both sides, not forgetting to distribute when multiplying on the right side:

10\frac{x}{2}-10\frac{10x-25}{10}=10*3(x+3)-10(x-14)

simplify, remember that there are always implied parentheses around numerators and denominators:

5x-(10x-25)=30(x+3)-10(x-14)

Now, distribute, i.e. remove parentheses and distribute:

5x-10x+25=30x+90-10x+140

Simplify

-5x+25=20x+230

transpose terms

25-230=20x+5x

solve

x=-205/25=-41/5


In this particular case, we can also take advantage of the term

(10x-25)/10=5(2x-5)/10=(2x-5)/2 which greatly simplifies the solution process, because the LCM will then be 2 instead of 10.

If we do that, the solution will be:

Multiply by 2 on both sides, not forgetting to distribute when multiplying on the right side:

\frac{x}{2}-\frac{10x-25}{10}=3(x+3)-(x-14)

simplify, remember that there are always implied parentheses around numerators and denominators:

2\frac{x}{2}-2\frac{2x-5}{2}=2*3(x+3)-2(x-14)

x-(2x-5)=6(x+3)-2(x-14)

Now, distribute, i.e. remove parentheses and distribute:

x-2x+5=6x+18-2x+28

Simplify

-x+5=4x+46

solve

5-46=4x+x

-41=5x

x=-41/5

with the same results.

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3 years ago
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Answer:

2\frac{1}{5}

Step-by-step explanation:

4 0
3 years ago
One number is 1/2 of another number. The sum of the two numbers is 9. Find the two numbers.
balu736 [363]

Answer: The numbers are 1 and 2

Step-by-step explanation:

8 0
3 years ago
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All the info is in the pictures
Hunter-Best [27]
Bearing in mind that an absolute value expression is in effect a piece-wise function with two cases, thus

\bf |-n|=
\begin{cases}
+(-n)\\
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n
\end{cases}
\\\\\\
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6 0
3 years ago
What is the greatest common factor of 60x^4, 45x^5y^5 and 75x^3y
OLEGan [10]
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8 0
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