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3 years ago

The ratio of the Areas of the bases of these cones is 9 to 4.

Mathematics

1 answer:

Lapatulllka [165]3 years ago

7 0

Answer:

Step-by-step explanation:

This is something you learn in Geometry. Gotta love Geometry and all of its hundreds of rules for triangles and circles and all that good stuff!!

The rule for similar figures is

ratio of perimeter (one-to-one)-->area (square the one-to-one)-->volume (cube the one-to-one).

We are given area. You CANNOT CUBE THE AREA MEASURES TO GET TO THE VOLUME!! You have to find the one-to-one first and then go forward from there.

If the area is the one-to-one squared, then

$\frac{\sqrt{9} }{\sqrt{4} }=\frac{3}{2}$

The one-to-one is 3:2. To get to the volume now, cube those one-to-one values:

$\frac{3^3}{2^3}=\frac{27}{8}$

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A bucket has 16 inches of water in it but there is a hole in the bottom. Use interval notation to write the domain and range of

Dennis_Churaev [7]

Answer: range: {0in, 16in}

domain {0min, 12.8 min}

Step-by-step explanation:

When we have a function:

f(x) = y.

The range is the set of possible values of y and the domain is the set of all the possible values of x.

In this case, our function is:

H(x) = 16 - 1.25*x

which is a linear equation, and we know that the linear equations are defined (for range and domain) in the set of all the real numbers, but this is a physical situation, so we must see at the real problem.

The bucket can not have more water than the initial amount, 16 inches, so this is the maximum in the range.

The minimum height of water that we can find in the bucket is 0 inches (so the bucket is empty) then this is the minimum of the range.

Then we can write the range as:

R: 0in ≤ y ≤ 16in. = {0in, 16in}

Now we can find the extremes of the domain by using the extremes of the range:

y = 16 = 16 - 1.25*x

0 = -1.25*x

then we have x = 0min, this will be the minimum of the domain.

Now using the minimum of the range y = 0 we have:

y = 0 = 16 - 1.25*x

1.25*x = 16

x = 16/1.25 = 12.8 mins

This is the maximum time in the domain (because after this time, there is no water in the bucket)

Then the domain is:

D: 0min ≤ x ≤ 12.8 min

5 0

3 years ago

Find the equivalent fraction for 10/20

dezoksy [38]

$\frac{10}{20} = \frac{ \frac{10}{10} }{ \frac{20}{10} } = \frac{1}{2}$

6 0

3 years ago

What is the y-intercept of y=<br> -3x

krek1111 [17]

0 hope this helps!!!!!!!!!

3 0

3 years ago

I don't understand the bottom part

frutty [35]

For the bottom you see if the numbers are prime or composite
3 is prime
5 is prime
7 is prime

4 0

3 years ago

Lady_Fox [76]

#3 answer: 42

3x7= 21
21x2=42

#4 answer:140

5x7=35
2x2=4
4x35=140

4 0

3 years ago