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zzz [600]
3 years ago
15

Length of a rectangle is 4x^2 + 12x and the area of the rectangle is 24x^4 + 72x^3, what is the width of the rectangle.

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
6 0

Width of rectangle is 6x^2

Step-by-step explanation:

Length of rectangle = 4x^2+12x

Area of rectangle = 24x^4+72x^3

Width of rectangle = ?

Finding width of rectangle by using formula:

Area = Length*Width

Width= \frac{Area}{Length}

Width=\frac{24x^4+72x^3}{4x^2+12x} \\Width=\frac{24x^3(x+3)}{4x(x+3)}\\Width=\frac{24x^3}{4x}\\Width=6x^2

So, width of rectangle is 6x^2

Keywords: Area of Rectangle

Learn more about Area of rectangle at:

  • brainly.com/question/6594923
  • brainly.com/question/6837543
  • brainly.com/question/12919591

#learnwithBrainly

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Mary loves eating fruits.Mary paid $7.98 for each of 2 berries and $ 5.99 for 3 peaches with 2 $20 dollars.How much change did M
kupik [55]

Answer:

6.07

Step-by-step explanation:

We know that Mary has two twenty dollar bills, equaling to forty dollars in total.

So lets start on the first few things she buys, the berries, each costing 7.98 dollars and cents, since she only bought two, that means we need to multiply 7.98 by 2

==> 15.96 dollars and cents

Now we can take it out of forty.

    $ 40.00

-    $ 15.96

-------------------

    $24.04

Now we only have 24.04 dollars and cents.

Now for the next few items, the peaches which costs 5.99 each, then since he only bought 3, we multiply 5.99 three times.

==> 17.97 dollars and cents

Now we can take it out of 24.04.

     $24.04

-     $ 17.97

--------------------

      $6.07

Mary has 6 dollars and 7 cents in change.

5 0
3 years ago
What 18% more than 200
djyliett [7]
Answer: 236

Explanation:

100% = 200
118% = x

-> x = (118 * 200) / 100

-> x = 236
3 0
3 years ago
Read 2 more answers
Cindy owns a rectangular lot that is 18 yards long and 45 feet wide. She is going to cover the lot with square pieces of sod. If
DiKsa [7]
FIND LOT AREA:
Area = length * width
A= 18 feet * 45 feet
A= 810 feet squared

FIND # OF YARDS:
1 yard= 3 feet

Divide number of square feet by number of feet per yard.
Yards= 810 ÷ 3
Yards= 270

FIND PRICE OF SOD:
multiply number of yards by price per square yard.
Price= 270 yards * $12/yard
Price= $3,240

ANSWER: Cindy will pay $3,240 to cover the lot with sod.

Hope this helps! :)
3 0
3 years ago
Find the length of the missing side. triangle with an 8 inch side and 12 inch side with a right angle 8.9 in. 104 in. 4 in 14.4
Mamont248 [21]

Given:

In a triangle, length of one side is 8 inches and length of another side is 12 inches, and an angle is a right angle.

To find:

The length of the missing side.

Solution:

In a right angle triangle,

Hypotenuse^2=Perpendicular^2+Base^2

Suppose the measures of sides adjacent to the right angle are 8 inches and 12 inches.  

Substituting Perpendicular = 8 inches and Base = 12 inches, we get

Hypotenuse^2=8^2+12^2

Hypotenuse^2=64+144

Hypotenuse^2=208

Taking square root on both sides, we get

Hypotenuse=\sqrt{208}

Hypotenuse=14.422205

Hypotenuse\approx 14.4

The length of the missing side is 14.4 inches. Therefore, the correct option is D.

4 0
3 years ago
How many verticies does a triangular prims have​
Lunna [17]

Answer:

6 vertices for triangular prisms.

4 0
3 years ago
Read 2 more answers
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