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solniwko [45]
2 years ago
12

The perimeter of a rectangle is 524 m. The length is 42 m greater than the width. what is the length of the rectangle

Mathematics
1 answer:
daser333 [38]2 years ago
6 0
Let the width be x

Width = x
Lenght = 42 + x

Perimeter of a rectangle = (2 x width) + (2 x lenght)
524 = (2x) + [2(42 + x)]
524 = 2x + 84 + 2x
440 = 4x
110 = x

Width = 110
Length = 42 + 110 = 152
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kogti [31]
The answer would be 680 because 20% of 850 is 170 so 850-170=680.
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navik [9.2K]

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4 0
1 year ago
The area of a triangle is 20 cm², and the
grandymaker [24]

Answer:

Heavenly,  we need the forumula for the area of a triangle, do you know it?

Step-by-step explanation:

Area of a triangle is (1/2 ) * B*H

where B = base

H = height

then

A = 1/2* B * H

A is given to be 20

B = b

H = b+4

plug all those into the formula,

20 = (1/2)*b*(b+4)

use your algebra skillz  :P

20 = 1/2 *( b^{2} + 4b)

20*2 = b^{2} + 4b

40 = b^{2} + 4b

0 = b^{2} + 4b-40

rewrite the above so it's in x format

x^{2} + 4x -40 = 0

use the quadratic formula to find  x  , and for our problem, remember that x represents the base,  or b,  but don't mix it up with the b in the quadatic fomula,  with the b of the triangle, which is the base,  they are differnt "b"s   :P

X = (b±\sqrt{b^{2}-4*a*c } ) / 2*a

a = 1

b = 4

c = -40

x = (4±\sqrt{4^{2}-4*1*(-40) }  ) /2*1

x = ( 4±\sqrt{16+160} ) / 2

x = (4±\sqrt{176} ) / 2

x = (4±13.266499)/2

x= 2±6.633249

x = 2 + 6.633249 = 8.633

b= 8.633 cm

5 0
1 year ago
In the 1996 presidential election, Bill Clinton received 2,495,683 votes in Texas. This was 177,868 more votes than he had recei
lilavasa [31]

Answer:

Votes did Bill Clinton get in Texas in 1992 = 2317815

Step-by-step explanation:

Total votes received by  Bill Clinton in 1996 = 2,495,683

Given that this was 177,868 more votes than he had received in 1992.

So the vote received in 1992 by Bill Clinton in 1992 is = ( Total votes received by  Bill Clinton in 1996 ) - ( 177,868 )

⇒The vote received in 1992 by Bill Clinton in 1992 is = 2,495,683 - 177,868

⇒The vote received in 1992 by Bill Clinton in 1992 is = 2317815

Therefore votes did Bill Clinton get in Texas in 1992 = 2317815

5 0
2 years ago
Given: x - 5> -2.
Mice21 [21]

Answer: \{x|x \exists \mathbb{R}, x > 3 \}

Step-by-step explanation:

Adding 5 to both sides, we get <u>x > 3.</u>

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