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loris [4]
3 years ago
9

The perimeter of a rectangle is 96 inches. The length of the rectangle is three times its width. Find the dimensions of the rect

angle.
Mathematics
1 answer:
Oksanka [162]3 years ago
4 0

Hey there!!

Perimeter of a rectangle =2 ( length + width )

Let's take the measure of the width as ' x '

Then, the length would be ' 3x '

Hence,

... 2 ( x + 3x ) = 96

... 2 ( 4x ) = 96

... 8x = 96

... x = 96 / 8

... x = 12

Width = 12 inches

And, length would be 36 inches.

Hope my answer helps!!

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The area of a square concrete slab is 20 square feet. Find the side length of the square concrete slab if the area is increase b
guapka [62]

The side length of the square concrete slab if the area is increased by 25% is 5feet

The formula for calculating the area of a square is expressed as:

A =  L² where:

L is the side length of the square

Given the area of the square concrete slab = 20 square feet

20 = L²

L =√20

If the area is increased  by 25%, new area will be:

An = 20 + (0.25*20)

An = 20 + 5

An = 25 sq.ft

Get the new length

An = Ln²

25 =   Ln²

Ln = √25

Ln = 5feet

Hence the side length of the square concrete slab if the area is increased by 25% is 5feet

Learn more here: brainly.com/question/11300671

7 0
3 years ago
What is the solution set of x2 + 5x + 1 = 0?
DerKrebs [107]

Answer:

\huge\boxed{\left\{-\dfrac{5+\sqrt{21}}{2};\ \dfrac{-5+\sqrt{21}}{2}\right\}}

Step-by-step explanation:

x^2+5x+1=0\\\\\text{Use the quadratic formula:}\\\\\text{For}\ ax^2+bx+c=0\\\\\Delta=b^2-4ac\\\\\text{if}\ \Delta < 0,\ \text{then the equation has no real solution}\\\text{if}\ \Delta=0,\ \text{then the equation has one real solution}\ x=\dfrac{-b}{2a}\\\text{if}\ \Delta>0,\ \text{then the equation has two real solution}\ x=\dfrac{-b\pm\sqrt{\Delta}}{2a}

\text{We have}\\\\a=1,\ b=5,\ c=1\\\\\Delta=5^2-4(1)(1)=25-4=21>0\\\\x=\dfrac{-5\pm\sqrt{21}}{2(1)}=\dfrac{-5\pm\sqrt{21}}{2}

3 0
3 years ago
HELP PLZZZZZ
viktelen [127]

Answer:

The last statement

7 0
3 years ago
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Please help me with this question by using completing the square (alg 2). The answer should be (2, -6)
Lorico [155]

Answer:

(2, -6)

Step-by-step explanation:

5n^2+20n-60

(5n+30)(n-2)

5n + 30 = 0

5n = -30

(5n = -30)/5

n = - 6

n - 2 = 0

n = 2

answer: (2, -6)

7 0
3 years ago
HELP PLEASE WILL MARK BRAINLIEST
gayaneshka [121]

Answer:

D

Step-by-step explanation:

Point B is (-2,3) then it is shifted (x, y+4)

so, x remains the same by y goes up 4 units

-2,7

5 0
3 years ago
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