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3 years ago

10

John drove from station A to station B a distance of 224 miles. On his way back, he increased his speed by 10 mph. If the journe

y back took him 24 minutes less, what was his original speed?

1 answer:

meriva3 years ago

5 0

Answer: 70 mph

Step-by-step explanation:

224/x =224/x+10 +24/60

Solve equation

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What is the length of the apothem of a regular hexagon with 10-cm sides?

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Answer:

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Step-by-step explanation:

Apothem of a polygon is given by:

$apothem = \frac{s}{2\ tan\ (\frac{180}{n})}$

Here

s is length of side

tan is trigonometric function

and n denotes number of sides

Given that the polygon is a hexagon

$s = 10cm\\n = 6$

Putting the values in the formula

$apothem = \frac{10}{2\ tan\ (\frac{180}{6})}\\= \frac{10}{2\ tan\ 30}\\=\frac{10}{2 * 0.5773}\\=\frac{10}{1.1546}\\=8.6610\\Rounding\ off\ to\ nearest\ hundredth\\= 8.66\ cm$

Hence,

The length of apothem of given hexagon is 8.66 cm

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