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Leya [2.2K]
3 years ago
15

As Jupiter revolves around the sun, it travels at a speed of approximately 8 miles per second. Convert this speed to miles per m

inute. At this speed, how many miles will Jupiter travel in 5 minutes? Do not round your answers
Mathematics
1 answer:
ASHA 777 [7]3 years ago
3 0

Answer:

The answer to your question is

a) \frac{480 mi}{min}

b) distance = 2400 mi

Step-by-step explanation:

a) 8 mi/s  convert to mi/min

\frac{8 mi}{s}  x  \frac{60 s}{1 min}  = \frac{8 x 60 mi }{min}  = \frac{480 mi}{min}

b) speed = \frac{distance}{time}

          distance = speed x time

          distance = \frac{480 mi}{min} x 5 min

         distance = 2400 mi

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If P is the orthocenter of △ABC, AB = 13, BF = 9,and FC = 5.6, find each measure & the perimeter of triangle ABC.
harina [27]

Answer:

Perimeter = 38.6

Step-by-step explanation:

Given

A\ B = 13

B\ F = 9

F\ C = 5.6

Required

Calculate the perimeter of A B C

To calculate the perimeter of A B C, we sum up the sides of the triangle

i.e.

Perimeter = A B + B\ C + A\ C

AB is given in the question already.

So, we need to calculate B F and F C

To solve for BF, we consider triangle B F C

Using Pythagoras Theorem, we have:

B\ C^2 = B\ F^2 + F\ C^2

Substitute values for BF and FC;

B\ C^2 = 9^2 + 5.6^2

B\ C^2 = 81 + 31.36

B\ C^2 = 112.36

B\ C^2= \sqrt{112.36

B\ C = 10.6

Next, we calculate A C.

To calculate A C, we need to calculate A F, considering triangle B F A

Using Pythagoras Theorem, we have:

A\ B^2 = B\ F^2 + A\ F^2

Substitute values for B F and A B;

13^2 = 9^2 + A\ F^2

169= 81 + A\ F^2

A\ F^2 = 169 - 81

A\ F^2 = 88

A\ F = \sqrt{88

A\ F = 9.4

Since F lies on line A C:

A\ C = A\ F + F\ C

A\ C = 9.4 + 5.6

A\ C = 15.0

Recall that:

Perimeter = A\ B + B\ C + A\ C

Perimeter = 13 + 10.6 + 15.0

Perimeter = 38.6

<em>Hence, the perimeter is 38.6</em>

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3 years ago
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Given

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gas prices now = $3.75

let the gas price 6 month ago = x

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First write 10% in simpler form

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Now the equation becomes

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