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katrin2010 [14]
3 years ago
10

A right triangle has side lengths of 4 unit's, 5 unit's and x units. It is unkown If the missing length is the longest or shorte

st side round to the nearest 10th what is the difference between possible x values
Mathematics
1 answer:
Kaylis [27]3 years ago
8 0
If x is the hypotenuse then
hyp^2 = 4^2 + 5^2
hyp^2 = 41
hypotenuse = <span> <span> <span> 6.403124

</span></span></span>
if x is a leg then
leg^2 = 5^2 - 4^2
leg^2 = 25 - 16
leg^2 = 9
leg =3

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Don,Eric, and Finn line up in random order for the cafeteria line. What is the probability that they will line up from front to
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Answer:

  1/6

Step-by-step explanation:

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Any of the three can line up first; either of the remaining two can line up second, and the remaining person can line up last. Thus there are 3×2×1 possible orders.

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f(x) = x(x-1)

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Use Hooke's Law to determine the work done by the variable force in the spring problem. A force of 450 newtons stretches a sprin
vlada-n [284]

Answer:

The work done is 202.50Nm

Step-by-step explanation:

Given

F =450N

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x_2 = 60cm

Required

The work done

First, we calculate the spring constant (k)

F = kx_1

450N = k *30cm

k = \frac{450N}{30cm}

k =15N/cm

So:

F = kx_1

F(x) = 15x

The work done using Hooke's law is:

W =\int\limits^a_b {F(x)} \, dx

This gives:

W =\int\limits^{60}_{30} {15x} \, dx

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W =15\int\limits^{60}_{30} {x} \, dx

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3 years ago
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