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QveST [7]
3 years ago
9

A plane is travelling at 180 metres per second. How many minutes will it take for the plane to travel 800km? Give your answer in

the nearest minute.
Mathematics
1 answer:
Pavel [41]3 years ago
6 0

Answer:

79 minutes

Step-by-step explanation:

A plane is travelling at 180 meters per seconds

Convert to km/hr

180× 18/5

= 648 km/hr

Since 648 km equals 1 hour then the number of minutes required for the plane to travel 800 km is

= 1/648 × 800

= 1 hour 19 minutes

Conver the time to full minutes

60 minutes = 1 hour

= 60+19

= 79 minutes

Hence the minutes required for the plane to travel 800km is 79 minutes

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An open-top box with a square base is to have a volume of 4 cubic feet. Find the dimensions of the box (in ft) that can be made
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Answer:

The dimension of box=2ft\times 2ft\times 1ft

Step-by-step explanation:

We are given that

Volume of box=4 cubic feet

Let x be the side of square base and h be the height of box

Volume of box=lbh=x^2h

4=x^2h

h=\frac{4}{x^2}

Now, surface area of box,A=x^2+4xh

A=x^2+4x(\frac{4}{x^2})=x^2+\frac{16}{x}

\frac{dA}{dx}=2x-\frac{16}{x^2}

\frac{dA}{dx}=0

2x-\frac{16}{x^2}=0

2x=\frac{16}{x^2}

x^3=8

x=2

\frac{d^2A}{dx^2}=2+\frac{32}{x^3}

Substitute x=2

\frac{d^2A}{dx^2}=2+\frac{32}{2^3}=2+4=6>0

Hence, the area of box is minimum at x=2

Therefore, side of square base,x=2 ft

Height of box,h=\frac{4}{2^2}=1 ft

Hence, the dimension of box=2ft\times 2ft\times 1ft

5 0
2 years ago
A certain cake recipe calls for 2 7/8 cups of sugar to make one cake, If you want to make four cakes, how many cups of sugar, do
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You have too divide 2 and 7 and 8 divided by the sum and that’s your answer

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3 years ago
What is 2 3/5 multiplied by 2 as a mixed number or fraction
vivado [14]

Answer:

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Step-by-step explanation:

First convert 2 3/5 into an improper fraction:  13/5.

Then multiply this result by 2:  2(13/5) = 26/5.  This is the answer as an improper fraction.

26/5 as a mixed number would be 5 1/5.

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Please help !!! I’m confused
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3 years ago
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