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3 years ago

11

When fritz drives to work his trip takes 4848 minutes, but when he takes the train it takes 4040 minutes. find the distance fri

tz travels to work if the train travels an average of 66 miles per hour faster than his driving. assume that the train travels the same distance as the car?

1 answer:

stepan [7]3 years ago

8 0

Let n be the speed of Fritzs' car, and n+6 be the speed of the train. Then:
4/5 (n)=2/3 (n+6)
4n/5=2n+12/3
10n+60=12n
2n=60
n=30
Fritz travels 4/5(30), or 24 miles to work
☺☺☺☺

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Step-by-step explanation:

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Determine the number of possible solutions for a triangle with B=37 degrees, a=32, b=27

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Step-by-step explanation:

we know that

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step 2

Find the first measure of angle C

Remember that the sum of the internal angles of a triangle must be equal to $180\°$

$A+B+C=180\°$

substitute the values

$A=45.5\°$

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step 3

Find the first length of side c

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substitute the values

$\frac{32}{sin(37\°)}=\frac{c}{Sin(97.5\°)}$

$c=Sin(97.5\°)\frac{32}{sin(37\°)}=52.7\ units$

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the measures for the first solution of the triangle are

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step 4

Find the second measure of angle C with the second measure of angle A

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substitute the values

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Find the second length of side c

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Explanations:

Part (a)

There is only one disc labeled "3" out of 10 total. So we end up with the probability 1/10.

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Part (b)

The list of numbers less than 4 are {1,2,3} which are 3 items out of 10 discs. We end up with 3/10.

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Part (c)

A square number, aka a perfect square, smaller than 10 is the list {1,4,9}

Since 1 = 1^2, 4 = 2^2 and 9 = 3^2

Like part (b), we end up with the same result of 3/10.

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Part (d)

The list of primes smaller than 10 is {2, 3, 5, 7}. Notice that 1 is not prime.

So we end up with 4/10 = 2/5.

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