Geometry Help!

Mathematics

1 answer:

Aleks04 [339]3 years ago

5 0

Answer:

x = 8.8

Step-by-step explanation:

To solve this you need the Law of sines

sin A / a = sin B / b = sin C / c

a, b, c are the sides opposite to angles A, B and C respectively

Applied to the given triangle we have one side given, the opposite angle to be found.

sin 28 / x = sin (180 - 28 - 126) / 8.2
sin 28 / x = sin 26 / 8.2
x = 8.2 sin 28 / sin 26
x = 8.8 (rounded)

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Working simultaneously, four fudge machines complete a big order in 32 hours. All the machines at the fudge factory work at the

Alinara [238K]

Answer:

4 Hours

Step-by-step explanation:

Let's say that the rate of the machines 1/x, because every time they complete an order, it takes them x hours. To find x, we have to add the the rates of the individual machines, which would equal the rate of the machines working together. We know that there are four machines working together at the same rate, and it took them 32 hours.

So:

1/x + 1/x + 1/x + 1/x = 1/32

1/4x = 1/32

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x = 8

Thus, the rate of the machines is 1/8.

Now we have to find the time of the order with only half of the machines working together. This time, we don't know the combined rate, so I'll substitute it for y.

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Answer:

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Step-by-step explanation: