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3 years ago

How do I convert 75 feet/second to miles/hour rounding to the nearest whole number

Mathematics

1 answer:

MAVERICK [17]3 years ago

6 0

Answer:

51 miles/hour is the conversion of 75 feet/second rounding to nearest whole number.

Step-by-step explanation:

Given:

75 feet/second.

Now, to convert 75 feet/second into miles/hour.

So, to convert we divide the value of feet per second by conversion factor to get miles per hour.

Value of feet per second = 75.

Conversion factor = 1.4667.

Now, putting the formula to get the value in miles/hour:

Value in miles/hour = value of feet/second ÷ conversion factor.

Value in miles/hour = $75\div 1.4667.$

= $51.135\ miles/hour.$

<em>Rounding nearest to whole number = 51 miles/hour.</em>

Therefore, 51 miles/hour is the conversion of 75 feet/second rounding to nearest whole number.

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3 years ago

You must design a closed rectangular box of width w, length l and height h, whose volume is 504 cm3. The sides of the box cost 3

Charra [1.4K]

Answer:

Dimensions will be

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Step-by-step explanation:

A closed box has length = l cm

width of the box = w cm

height of the box = h cm

Volume of the rectangular box = lwh

504 = lwh

$h=\frac{504}{lw}$

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Cost of the sides $C_{s}$ = 3[2(l + w)h] = 6(l + w)h

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To minimize the cost of the sides

$\frac{dC}{dl}=3024(-l^{-2}+0)+8w=0$

$\frac{3024}{l^{2}}=8w$

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$\frac{3024}{w^{2}}=8l$

$\frac{378}{w^{2}}=l$

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Now place the value of w from equation (1) to equation (2)

$(\frac{378}{l^{2}})^{2}=\frac{378}{l}$

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l³ = 378

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From equation (2)

$w^{2}=\frac{378}{7.23}$

$w^{2}=52.28$

w = 7.23 cm

As lwh = 504 cm³

(7.23)²h = 504

$h=\frac{504}{(7.23)^{2}}$

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