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Gnom [1K]
3 years ago
14

A rectangle is four times as long as it is wide. The perimeter is 40 cm. Find the length of each side.

Mathematics
1 answer:
rjkz [21]3 years ago
6 0

Answer:

W=4 l=16

Step-by-step explanation:

Let w = width

Let l = length

Since the length is 4 times the width, l=4w

Perimeter of rectangle = 2l + 2w

= 2(4w)+2w

=10w

The perimeter of the rectangle =40, so

40=10w and w=4

Plug w into the length equation : l=4w=4(4)=16

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Answer:

x=-1, y = 2, z = 1

Step-by-step explanation:

We are given with three equations and we are asked to find the solution to them.

2x + 2y + 3z = 5  ------------- (A)

6x + 3y + 6z = 6  --------------(B)

3x + 4y + 4z = 9 ---------------(C)

Step 1 .

multiplying equation (A) by 3 and subtracting B from the result

6x + 6y + 9z = 15

6x + 3y + 6z = 6

-     -       -       = -

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3y+3z=9

y+z=3

y=3-z  ----------------- (C)

Step 2.

Substituting this value of y in equation B and C

6x + 3(3-z) + 6z = 6  

6x+9-3z+6z=6

6x+3z=-3

2x+z=-1 ----------------(D)

3x + 4(3-z) + 4z = 9

3x+12-4z+4z=9

3x=-3  

x=-1 ------------ (E)

Putting this value f x in (D)

2(-1)+z=-1

-2+z=-1

z=1

Now we put this value of z in equation (C)

y=3-z

y=3-1

y=2

Hence we have

x=-1, y=2 and z=1

6 0
3 years ago
"Calculate the value of b in the triangle below." HELP PLZ WILL GIVE BRAINLIEST
Viktor [21]

Answer:

b { }^{2}  = (61m) {}^{2}  - (11m) {}^{2}

b {}^{2}  = 3721 - 121

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SOMEONE HELP ME PLS I DONT UNDERSTAND AND GIVE ONE OF THE SELECTED OPTIONS PLS :)
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X = 130°

they are alternate exterior angles. the one you have highlighted is correct.
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The first three terms of a geometric sequence are as follows. -256, -64, -16. Find the next two terms of this sequence. Give exa
umka2103 [35]
Hi,


The next two are:

- 16 \div 4 =  - 4 \\  - 4 \div 4 =  - 1

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r3t40
4 0
3 years ago
Solve this literary equation:<br><br> 15= -3(2c+d)
adelina 88 [10]

Answer:

15=-6c-3d

Step-by-step explanation:

If 15=-3(2c+d)

=15=(-3×2c) - (-3×d)

=15=-6c-3d

6 0
3 years ago
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