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3 years ago

Mark drove 330 miles. It took him 6 hours to drive this distance. What was Mark's average speed?

Mathematics

1 answer:

Lena [83]3 years ago

8 0

Answer:

The Mark's average speed was $55\frac{miles}{hour}$

Step-by-step explanation:

we know that

To find out the average speed, divide the total distance by the total time

Let

s -----> the average speed in miles per hours

x ----> the total distance in miles

y ----> the total time in hours

$s=\frac{x}{y}$

we have

$x=330\ miles$

$y=6\ hours$

substitute

$s=\frac{330}{6}=55\frac{miles}{hour}$

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Answer:

x=-4/5

Step-by-step explanation:

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A candle in the shape of a circular cone has a base of radius r and a height of h that is the same length as the radius. which e

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Answer:

$\frac{r(1-\sqrt{2})}{-3}$

Step-by-step explanation:

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Since we are given that a circular cone has a base of radius r and a height of h that is the same length as the radius

= $\frac{1}{3} \pi r^{2} \times r$

= $\frac{1}{3} \pi r^{3}$

Surface area of cone including 1 base = $\pi r^{2} +\pi\times r \times \sqrt{r^2+h^2}$

Since r = h

So, area = $\pi r^{2} +\pi\times r \times \sqrt{r^2+r^2}$

= $\pi r^{2} +\pi\times r \times \sqrt{2r^2}$

= $\pi r^{2} +\pi\times r^2 \times \sqrt{2}$

Ratio of volume of cone to its surface area including base :

$\frac{\frac{1}{3} \pi r^{3}}{\pi r^{2} +\pi\times r^2 \times \sqrt{2}}$

$\frac{\frac{1}{3}r}{1+\sqrt{2}}$

$\frac{r}{3(1+\sqrt{2})}$

Rationalizing

$\frac{r}{3(1+\sqrt{2})} \times \frac{1-\sqrt{2}}{1-\sqrt{2}}$

$\frac{r(1-\sqrt{2})}{-3}$

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