All categories

3 years ago

Two similar cones have radii in the ratio n:m. What is the ratio of their slant heights?

Mathematics

1 answer:

denis-greek [22]3 years ago

8 0

Answer:

The ratio of the slant heights of the two cones will also be n : m.

Step-by-step explanation:

See the attached diagram.

If we take the vertical sections along any diameter of the base circle of the cones A and B then the triangular sections as we get will be similar.

Now, ratio of the base of the triangles A and B i.e. the ratio of the diameters of the cones A and B will be 2n : 2m = n : m and this will be the same as the ratios of other two sides of the triangles A and B.

Therefore, the ratio of the slant heights of the two cones will also be n : m. (Answer)

You might be interested in

The grade point averages (GPA) for 12 randomly selected college students are shown on the right. Complete parts (a) through (c)

Ilya [14]

Answer:

$\bar X =\frac{2.3+3.1+2.8+1.7+0.9+4+2.1+1.2+3.6+0.2+2.4+3.2}{12}=2.29$

$s=1.09$

Step-by-step explanation:

For this case we have the following data given:

2.3 3.1 2.8

1.7 0.9 4.0

2.1 1.2 3.6

0.2 2.4 3.2

Since the data are assumedn normally distributed we can find the standard deviation with the following formula:

$\sigma =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}}$

And we need to find the mean first with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X =\frac{2.3+3.1+2.8+1.7+0.9+4+2.1+1.2+3.6+0.2+2.4+3.2}{12}=2.29$

And then we can calculate the deviation and we got:

$s=1.09$

7 0

2 years ago

Read 2 more answers

Pls help will give brainiest

Anastaziya [24]

Answer:

Step-by-step explanation:

7 0

2 years ago

Select all that apply.Several pennies are tossed in the air. Twelve land heads up and fifteen land tails up. Which of the follow

OverLord2011 [107]

The information we've been given is:

12 heads
15 tails

From those, we find that there are 12 + 15 = 27 coins.

Let's examine these ratios as such:

- 12 heads to 27 coins -
There are indeed 12 heads and 27 coins, so this comparison agrees with our data.

- 15 tails to 12 heads -
Again, nothing here contradicts with our data, so this would be correct as well

- 12 heads to 15 tails -
Simply a reversed version of the ratio above; still a completely valid way to compare the relative quantities of heads and tails

- 5 tails to 9 coins -
This one needs a little more examination. We observe that the ratio of tails to coins with our given data is 15 tails to 27 coins. This seems to go against our data, but we can simplify our ratio by dividing both the number of tails and the number of coins by 3, which indeed gives us the ratio 5 tails to 9 coins.

So, all of the given ratios are correct.

3 0

3 years ago

Read 2 more answers

Jacka and Jill are 28 miles apart on the same path. If Jack skateboards 4 miles per hour, and Jill bikes 6 miles per hour, How l

Alexeev081 [22]

Idk really know I just trying the get points

6 0

2 years ago

Read 2 more answers

A particular computer takes 13 minutes to download a 39 minute TV show. How long will it take the computer to download a 2 hour

ddd [48]

Answer: