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Kamila [148]
3 years ago
11

A triangular section of land is fenced off due to contamination. Two sides of the triangle are each 16 meters ( 16m) longer than

the third side.
If 122m of fencing is used to enclose the area, what is the length of the shortest side, in meters?
Mathematics
2 answers:
Sphinxa [80]3 years ago
8 0

Answer: the shortest side is 30m

Step-by-step explanation:

Let the shortest side be a meters

If side 2 is 16m longer than the shortest side, then it is (16+a)meters.

The same goes with side 3.

Then,

a + (16+a) + (16+a) = 122m

32 + 3a = 122m

Collecting like terms together,

3a = 122 - 32

3a = 90

Divide by coefficient of a

3a/3 = 90/3

a = 30 meters

Check:

30 + (16+30) + (16+30)

30 + 46 + 46 = 112

IgorC [24]3 years ago
7 0

Answer:

Shortest side = 30 m long.

Step-by-step explanation:

Let the shortest side be x meters long.

The other 2 sides are both  x + 16 m.

The perimeter is 122 m so

x + 2(x + 16) = 122

x + 2x + 32 = 122

3x = 122 - 32

3x =  90

x = 30 m.

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Given

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To obtain standard form use the method of completing the square

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x² + 2(- 6)x + 36 + y² + 2(- 9)y + 81 = - 108 + 36 + 81

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3 years ago
Determine the number of ways she can arrange her daily schedule.
natita [175]

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This can be found by using the permutations and combinations formuals.

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3 0
2 years ago
Suppose 12% of students are veterans. From a sample of 263 students, how unusual would it be to have less than 22 veterans?
kkurt [141]

Answer:

Yes, both np and n(1-p) are ≥ 10

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Step-by-step explanation:

Given that :

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Z = −1.813872

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P(Z < −1.814) = 0.034839 (Z probability calculator)

Yes, it is unusual

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7 0
2 years ago
The functions f(x) and g(x) in the graph below are most likely which two equations?
gtnhenbr [62]

Answer:

It's C.

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6 0
3 years ago
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