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topjm [15]
3 years ago
10

A mixed fraction, expressed in lowest terms, is in the form a b/c

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
5 0

Answer:

a = 1, b = 9, c = 20

Step-by-step explanation:

1 \frac{9}{20}  = a \frac{b}{c}  \\ equating \: both \: we \: find:  \\ a  = 1 \\ b = 9 \\ c = 20

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The perimeter of a triangle is 32 feet. One side of the triangle is 3 times the second side. The third side is 12 feet longer
Ivenika [448]

We have a triangle whose perimeter is 32 feet. Some information regarding the sides of the triangle is given:

GiveN:

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  • Third side is 12 feet longer than the second side.

As we can see that, two sides of the triangle are defined the second sides. It means First and third side can be expressed in the form of second side.

  • So let the second side be x

Then,

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  • And, third side = x + 12

We know that, perimeters is the sum of the lengths of all sides of the triangle, So it can be written as:

3x + x + x + 12 = 32

Solving it further,

5x + 12 = 32

Subtracting 12 from both sides,

5x + 12 - 12 = 32 - 12

5x = 20

Dividing 5 from both sides,

\frac{5x}{5}  =  \frac{20}{5}

x = 4

Then,

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  • Second side = 4 feet
  • Third side = x + 12 = 16 feet

And we are done with the answer !!

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From x = 1.5 to x = 3, the length is 1.5 and width is 1. So the area between these two intervals = 1.5 square units.

Thus, <span>P(1.5 ≤ X ≤ 3) = 1.5/3 = 0.5
</span>
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A ball is kicked 4 feet above the ground with an initial vertical velocity of 55 feet per second. The function h(t)=-16t^2+55t+4
Shalnov [3]

Answer:

Time in seconds when the ball is 4 feet above the ground is:

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