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strojnjashka [21]
3 years ago
9

Apply the distributive property to factor out the greatest common factor 60m-40=

Mathematics
1 answer:
Tcecarenko [31]3 years ago
7 0

Answer:

The greatest common factor is 20

Step-by-step explanation:

Rewrite 40 as 20*2

Rewrite 60 as 20*3

=20*3m-20*2

Factor out common term 20;

20(3m-2)

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The perimeter of a triangle is 510 feet and the sides are in the ratio of 11:16:24. Find the area of the triangle
Nutka1998 [239]

If the sides are in the ratio of 11:16:24, it means that they are all multiples of a same number x, according to these factors.

So, the shorter side is 11x feet long, the middle one is 16x feet long, and the longest side is 24x feet long.

This means that the perimeter is

11x+16x+24x = 51x feet long. But we know that this is 510 feet, so we have

51x = 510 \implies x = \cfrac{510}{51} = 10.

So, the three sides are 110, 160 and 240 feet long.

To find the area of a triangle knowing its three sides, you can use Heron's formula, which states that, if s is half the perimeter of the triangle whose sides are a,b,c, the area A is given by

A = \sqrt{s(s-a)(s-b)(s-c)}

In our case, s = 255, a = 110, b = 160, c = 240 so the formula becomes

A = \sqrt{255(255-110)(255-160)(255-240)} = \sqrt{255(145)(95)(15)} = \sqrt{52689375} \approx 7258.74

5 0
3 years ago
What is equivalent to (3 - 2x) (4x - 7)​
bonufazy [111]

Answer:

-8x^2+26x-21

Step-by-step explanation:

(3-2x)(4x-7)

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-8x^2+12x+14x-21

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7 0
3 years ago
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Guidelines for a wheelchair ramp suggest that the ratio of the rise to the run be no greater than 1:12.design a wheelchair ramp
OLEGan [10]
I have no idea tbh. I will try to find how to do it and help you!
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3 years ago
HELP ME PLEASE WITH 1,2 AND 3 PLEASE DON'T TAKE LONG TO RESPOND !!​
soldi70 [24.7K]

Answer:

1. -19x

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5. -18x + 2y

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second one:

8 - (-15) = 23

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23 - 8x

third:

-10x - 8x = -18x

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6 0
3 years ago
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Firlakuza [10]
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