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ale4655 [162]
3 years ago
13

A company is expanding its building area from 12,000 square feet to 15,360 square feet. What is the percentage increase of the a

rea of the building space?
Mathematics
1 answer:
Marat540 [252]3 years ago
5 0
28%

Explanation:
Use this formula:
New number - original number divided by original number x 100

In this case:
15,360 - 12,000 ÷ 12,000 x 100
= 28

Final answer: 28%

A brainliest would be nice!
-SpaceMarsh
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Can you guys pls help me with this math question
aleksklad [387]

Answer:

Dimensions:  125 m x 250 m

Area:  31,250 m²

Step-by-step explanation:

Given information:

  • Total amount of fencing = 500m
  • Only 3 sides of the land need to be fenced

First, let us assume that the land is <u>rectangular</u> in shape.

Let y = length of the side opposite the river

Let x = length of the other 2 sides of the land

Therefore, we can create two equations from the given information:

  <u>Area of land</u>:   A= xy

  <u>Perimeter of fence</u>:   2x + y = 500

Rearrange the equation for the perimeter of the fence to make y the subject:

\begin{aligned} \implies 2x + y & = 500\\ y & = 500-2x \end{aligned}

Substitute this into the equation for Area:

\begin{aligned}\implies A & = xy\\& = x(500-2x)\\& = 500x-2x^2 \end{aligned}

To find the value of x that will make the area a <em>maximum</em>, <u>differentiate</u> A with respect to x:

\begin{aligned}A & =500x-2x^2\\\implies \dfrac{dA}{dx}& =500-4x\end{aligned}

Set it to zero and solve for x:

\begin{aligned}\dfrac{dA}{dx} & =0\\ \implies 500-4x & =0 \\ x & = 125 \end{aligned}

Substitute the found value of x into the original equation for the perimeter and solve for y:

\begin{aligned}2x + y & = 500\\\implies 2(125)+y & = 500\\250+y & = 500\\y & = 250\end{aligned}

Therefore, the dimensions that will give Christine the maximum area are:

125 m x 250 m (where 250 m is the side opposite the river)

The maximum area is:

\begin{aligned}\implies \sf Area_{max} & = xy\\& = 125 \cdot  250\\& = 31250\: \sf m^2 \end{aligned}

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2 years ago
One third plus one third
ehidna [41]
Two thirds.
1/3 +1/3 = 2/3.
You don’t add the denominator (bottom terms), you only add the numerators (the top terms)
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4 years ago
What is 35% of 98???
Serga [27]

Answer:34.3

Step-by-step explanation:35% of 98 = 34.3

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3 years ago
Solve using the quadratic formula<br><br> x^2 - 8x - 84 = 0<br><br> Show all work
Yakvenalex [24]

Answer:

x²-8x-84

Using quadratic Formular -b±√b²-4ac/2a

--8±/8²-4×1×-84 /2×1

8±/64+336/2

8±/400/2

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The circumference of a circle is 23.55 units. What is the area of the circle rounded to the nearest tenth?
julsineya [31]

Answer:

I think the answer is 44.13

Step-by-step explanation:

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