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3 years ago

How far does an ant have to crawl to get from the base of the cone to the top of the hill? (This is the

Mathematics

1 answer:

mr_godi [17]3 years ago

8 0

Step-by-step explanation:

the volume of the cone = ⅓×3.14×20²×h

8,792 = 1,256 h/3

=> h = 3×8,792/1,256

= 21 mm

the height of the cone = 21 mm

the slant s = √20²+21²=√400+441

=√941 = 29 mm

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Find the midpoint of the two points (8,-2) and (-4,6).

Inessa05 [86]

Answer:

Step-by-step explanation:

To do that we use the formula: (x1 + x2) / 2 and (y1 + y2) / 2 to get (x,y) coordintaes of the mid-point

Therefore

(8 + (-4) ) / 2 , (-2 + 6) / 2

= 2,2

8 0

3 years ago

Two trains started moving at the same time, train A from Boston to New York, and train B from New York to Boston. The distance b

Ede4ka [16]

Answer:

After 1.7 hours

Explanation:

1. Calculate the average speed of train B

60mph = 3/4 (s) ⇒ s = 60 (4/3) mph = 80 mph

2. Build a table

When the two trains meet:

Train Average speed Distance time (distance/average speed)

mph

A 60 x x/60

B 80 240 - x (240 - x) / 80

3. Write the equation

The time, when the two trains meet, is the same for both trains:

$\dfrac{x}{60}=\dfrac{240-x}{80}\\ \\ \\ 80x=14,400-60x\\ \\ 80x+60x=14,400\\ \\ 140x=14,400\\ \\ x=14,400/140\\ \\ x=102.85miles$

4. Calculate the time:

x/60 = 102.86 / 60 = 1.7 hours

The two trains will meet after 1.7 hours

7 0

3 years ago

What is the interquartile range of this data? 5 8 13 17

Tanya [424]

Lowest value: 2

Highest value: 19

Median: 8

Lower quartile: 6

Upper quartile: 14

Range: Highest value - Lowest value = answer

Range: 19 - 2 = 17

Interquartile range: Upper quartile - Lower quartile = answer

(IQR) interquartile range = 14 - 6 = 8

So the answer to your question would be 8 :)

~hope this helps, have a good day/afternoon/night~

5 0

3 years ago

What is the approximate circumference of a circle that has a diameter of 25 yards? Round your answer to one decimal place. C = a

suter [353]

For this case we have by definition, that the circumference of a circle is given by the following formula:

$C = \pi * d$

Where:

d: Is the diameter of the circumference

So:

$C = \pi * 25\\C = 78.5398$

Rounding to a decimal we have:

$C = 78.5 \ yards$

ANswer:

$C = 78.5 \ yards$

7 0

4 years ago

Read 2 more answers

There is 1 in. of water in a pool. The water level is increasing at 0.75 in./min . Which linear equation represents the total de

Crank

y = 0.75 + 1 → B

increasing at 0.75 in/min , thus 0.75x after x min

The depth is already at 1 in

y = 0.75x + 1 is the equation.

4 0

3 years ago