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Viefleur [7K]
4 years ago
12

The perimeter of the triangle.​

Mathematics
1 answer:
mel-nik [20]4 years ago
4 0
In order to find the perimeter, all we have to do is add all three of the sides:
x^2 + 3 + 2x + 5 + 2x = 29
x^2 + 4x + 8 = 29

Subtract 29 from both sides:
x^2 + 4x - 21 = 0

Factor:
(x + 7)(x - 3) = 0
{-7, 3}

3 can be the only possible length, since a length can't be a negative number.

2x = 6
2x + 5 = 11
x^2 + 3 = 12
-T.B.
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A map scale is 1 inch:50 miles. Two cities are 450 miles apart. How far apart are the cities on the map
ArbitrLikvidat [17]
450÷50=9
Your answer would be 9inches because all you have to do is divide 450 by 50 and you get the number of inches
5 0
3 years ago
Lucy borrowed $425 from Colleen. Colleen charges Lucy 5.3% interest if Lucy pays Colleen back in 3 years how much does she pay C
Sonja [21]

Answer: Lucy pays $ 492.58  back altogether.

Step-by-step explanation:

Formula : Interest = Principal x Rate x Time

Given: Principal  = $425  , rate = 5.3% = 0.053 , time = 3 years

Interest = 425 x 0.053 x 3 ≈ $ 67.58

Total amount need to pay back = Principal + Interest

= $ (425+67.58)

= $ 492.58

Hence, Lucy pays $ 492.58  back altogether.

7 0
3 years ago
Can you help please?
harkovskaia [24]

Step-by-step explanation:

Mechanical advantage can be defined using distances:

Mechanical advantage = input distance / output distance

Or it can be defined using forces:

Mechanical advantage = output force / input force

Solving for the output force:

Output force = mechanical advantage × input force

Plugging in values:

Output force = 2.2 × 202 N

Output force = 444.4 N

3 0
3 years ago
The height of the triangle is 3 meters longer than twice its base. Find the base and height if the area is 8 square meters. Roun
polet [3.4K]

9514 1404 393

Answer:

  • base: 2.18 m
  • height: 7.35 m

Step-by-step explanation:

Let b represent the base of the triangle in meters. Then the height is ...

  h = 3 +2b

and the area is ...

  A = 1/2bh

  8 = 1/2(b)(3 +2b)

  16 = 3b +2b^2 . . . . . . . multiply by 2 and eliminate parentheses

  2(b^2 +3/2b + (9/16)) = 16 + 9/8 . . . . . . complete the square

  2(b +3/4)^2 = 17.125

  (b +3/4)^2 = 8.5625 . . . . . divide by 2

  b + 0.75 = √8.5625 ≈ 2.9262

  b = -0.75 +2.9262 = 2.1762

  h = 3 +2b = 7.3523

The base is about 2.18 meters and the height is about 7.35 meters.

3 0
3 years ago
7. John, Paul, and George are having a disagreement over interest rates. John
gayaneshka [121]
John Paul is correct
7 0
3 years ago
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