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miss Akunina [59]
3 years ago
6

The volume of a box (V) varies directly with its length (l). If the box has a volume of 90 cubic inches and a length of 15 inche

s, what is the constant of proportionality for the box?
Mathematics
2 answers:
Anastasy [175]3 years ago
4 0
90 = k*15
constant of proportionality = 80 / 15 = 6 Answer
soldier1979 [14.2K]3 years ago
3 0

Answer:

The constant of proportionality for the box is 6.

Step-by-step explanation:

  Given : The volume of a box (V) varies directly with its length (l). If the box has a volume of 90 cubic inches and a length of 15 inches.

We have to find the constant of proportionality for the box.

Since, The volume of a box (V) varies directly with its length (l)

Mathematically written as  V ∝ l

For removing proportionality, we multiply a proportionality constant k,

Thus, the equation V ∝ l

Becomes V = k l

Also given volume of 90 cubic inches and a length of 15 inches.

Substitute, V = 90 , and l = 15

We have,

90 = k (15)

Divide both side by 15, we get,

k = 6

Thus,  the constant of proportionality for the box is 6.

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castortr0y [4]

It will take 0.4 seconds to get to the home plate.

Given:

The speed of the pitch thrown by Justin is 100 miles per hour

The distance of home plate from the pitching rubber is 60.5 feet

To find:

The time taken by a pitch to reach the home plate

Solution:

The distance home plate from the pitching rubber = d = 60.5 feet

1 mile = 5280 feet\\1 foot=\frac{1}{5280} mile\\60.5 feet=60.5 \times \frac{1}{5280} mile=\frac{60.5}{5280}miles

The speed of pitch thrown by Justin = s = 100 miles/hr

The time taken by a pitch to reach the home plate = t =?

The speed of the moving object is given by dividing the distance covered from the time taken to cover that distance.

Speed=\frac{Distance}{Time}\\s=\frac{d}{t}\\100 miles/hr=\frac{\frac{60.5}{5280}miles}{t}\\t=\frac{60.5}{5280}miles\times \frac{1}{100 miles/hr}\\= 0.000114583 hr

In an hour there are 3600 seconds, then in 0.000114583 hours will be:

1 hour=3600 seconds\\=0.000114583 \times 3600=0.4124988 s\approx 0.4 s

It will take 0.4 seconds to get to the home plate.

Learn more about conversions here:

brainly.com/question/24530464

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Answer:

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Step-by-step explanation:

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