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3 years ago

Help ASAP 40 Points and Brainliest

Mathematics

1 answer:

Mandarinka [93]3 years ago

5 0

Answer:

Volume of a cup

The shape of the cup is a cylinder. The volume of a cylinder is:

\text{Volume of a cylinder}=\pi \times (radius)^2\times heightVolume of a cylinder=π×(radius)

×height

The diameter fo the cup is half the diameter: 2in/2 = 1in.

Substitute radius = 1 in, and height = 4 in in the formula for the volume of a cylinder:

\text{Volume of the cup}=\pi \times (1in)^2\times 4in\approx 12.57in^3Volume of the cup=π×(1in)

×4in≈12.57in

2. Volume of the sink:

The volume of the sink is 1072in³ (note the units is in³ and not in).

3. Divide the volume of the sink by the volume of the cup.

This gives the number of cups that contain a volume equal to the volume of the sink:

\dfrac{1072in^3}{12.57in^3}=85.3cups\approx 85cups

12.57in

Step-by-step explanation:

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3 years ago

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3 years ago

An airplane can fly 650 miles per hour in still air. If it can travel 2800 miles with the wind in the same it can travel 2400 mi

Studentka2010 [4]

Answer:

The speed of the wind is 8450 miles.

Solution:

Given, An airplane can fly 650 miles per hour in still air.

It can travel 2800 miles with the wind in the same time it can travel 2400 miles against the wind,

We have to find the wind speed.

Let the speed of the wind be s.

Now, we know that, distance travelled = relative speed x time taken.

While travelling with wind

$\rightarrow 2800=(s+650) \times \text { time taken } \rightarrow \text { time taken }=\frac{2800}{s+650}$

[s + 650 is relative speed as both are in same direction]

While travelling against wind

$\rightarrow 2400=(s-650) \times \text { time taken } \rightarrow \text { time taken }=\frac{2400}{s-650}$

Here, both time taken are equal as given that same time.

Now, equate both equations

$\begin{array}{l}{\rightarrow \frac{2800}{s+650}=\frac{2400}{s-650}} \\\\ {28 \times(s-650)=24 \times(s+650)} \\\\ {28 s-28 \times 650=24 s+24 \times 650} \\\\ {28 s-24 s=24 \times 650+28 \times 650} \\\\ {4 s=(24+28) \times 650}\end{array}$

4s = 52 x 650 = 13 x 650 = 8450

Hence, the speed of the wind is 8450 miles.

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3 years ago