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3 years ago

15

Mikaela is competing in a race in which she both runs and rides a bicycle. She runs 5 kilometers in 0.5 hour and rides her bicyc

le 20 kilometers in 0.8 hour. At the rate given, how many kilometers can Mikaela run in 1 hour?

1 answer:

Ber [7]3 years ago

8 0

Answer:

10 km

Step-by-step explanation:

0.5*2=1 hour

5*2=10 km

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Brums [2.3K]

Answer:

The height of the water is $60.5\ ft$

Step-by-step explanation:

step 1

Find the volume of the tank

The volume of the inverted right circular cone is equal to

$V=\frac{1}{3}\pi R^{2} H$

we have

$R=16\ ft$

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substitute

$V=\frac{1}{3}\pi (16)^{2} (96)$

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step 2

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$V=(0.25)*8,192\pi=2,048\pi\ ft^{3}$

step 3

Find the height, of the water in the tank

Let

h ----> the height of the water

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

$\frac{R}{H}=\frac{r}{h}$

substitute

$\frac{16}{96}=\frac{r}{h}\\ \\r= \frac{h}{6}$

where

r is the radius of the smaller cone of the figure

h is the height of the smaller cone of the figure

R is the radius of the circular base of tank

H is the height of the tank

we have

$V=2,048\pi\ ft^{3}$ -----> volume of the smaller cone

substitute

$2,048\pi=\frac{1}{3}\pi (\frac{h}{6})^{2}h$

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Of the two rows you ought to choose the top one
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48 - 3x > 10 Add 3x to both sides.
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