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STALIN [3.7K]
3 years ago
10

Find the dimensions of a rectangle given that it's perimeter is 116cm and it's length is 1cm more than twice it's width

Mathematics
1 answer:
Furkat [3]3 years ago
4 0

Answer: 18 cm

Step-by-step explanation:

Perimeter is the sum of all 4 sides of a rectangle.

Let w => width

Let l => length = 2w + 1

P = 110 cm = w + w + 2w+1 + 2w + 1

6w +2 = 110

6w = 108

w = 18

Therefore:

w = 18 cm

l = 36 +1 = 37 cm

Check: 18 + 18 +37 + 37 = 110 cm

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a recycling bin is in the shape of a rectangular box find the height of the box if it's length is 18 ft its width is 8 feet and
OLEGan [10]
<h2>Answer:</h2>

The height of the box is:

                             4 ft.

<h2>Step-by-step explanation:</h2>

Let "h" denotes the height of the box.

Length of box is denoted by "l"

and breadth or width of box is denoted by "b"

We are given l=18 ft

b=8 ft.

Also we are given surface area of rectangular box= 496 ft²

As we know that the surface area of box is given by:

Surface\ Area=2(lb+bh+hl)

i.e.

496=2(18h+8h+144)\\\\i.e.\\\\\\496=2(26h+144)

Divide both side by 2.

248=144+26h\\\\i.e.\\\\26h=248-144\\\\i.e.\\\\26h=104

on dividing both side by 26 we get:

h=4

     Hence, the height of the  box is:

                    4 ft.

7 0
3 years ago
Read 2 more answers
Someone please help me
SOVA2 [1]
Gosh, when I saw that my mind went blank
6 0
3 years ago
What is the sale price of the vacuum cleaner?
leonid [27]

Answer:

95.99

Step-by-step explanation:

8.97 / 44.86

.19995 --> 19.995 % discount

119.99 x .19995 = 23.9926 off of price

119.99 - 23.9926 = $95.99

8 0
4 years ago
Which equation represents Grant's path?<br> y = 2 - 4x<br> y = 4-<br> y = 8 - 2x
Norma-Jean [14]
Y = 8 - 2x



beepboopbopbep
7 0
4 years ago
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30. What is the solution to the system of equations? (1 point)
sesenic [268]

Answer:

Option B) (-1,7,5) is correct.

The solution to the given system of equation is (-1,7,5)

Step-by-step explanation:

Given system of equations are

-7x-2y+z=-2\hfill (1)

6x-y-z=-18\hfill (2)

5x+4y-z=18\hfill (3)

To find the solution of the given system of equations by using Elimination method:

Now adding equations (1) and (2)

-7x-2y+z=-2

6x-y-z=-18

_________________

-x-3y=-20

________________

-x-3y=-20

-(x+3y)=-20

x+3y=20\hfill (4)  (since "-" getting cancelled)

Now adding equations (1) and (3)

-7x-2y+z=-2

5x+4y-z=18

_________________

-2x+2y=16

________________

-2x+2y=16

2(-x+y)=16

-x+y=8\hfill (5)

Now adding equations (4) and (5)

x+3y=20

-x+y=8

_________________

4y=28

________________

y=\frac{28}{4}

Therefore y=7

Substituting y=7 in equation (4)

x+3y=20

x+3(7)=20

x+21=20

x=20-21

Therefore x=-1

Now substituting the values x=-1 and y=7 in equation (1) we get

-7x-2y+z=-2

-7(-1)-2(7)+z=-2

7-14+z=-2

z=-2+7

Therefore z=5

Therefore the solution to the given system of equation is (-1,7,5)

Therefore Option B) (-1,7,5) is correct.

8 0
3 years ago
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