All categories

3 years ago

Geometry question, please help me

Mathematics

1 answer:

vesna_86 [32]3 years ago

4 0

Hi there!

First, let's find the proportion of the radius' and set it equal to the proportion of the heights:
12/10 = 30/25

Next, we'll cross multiply. If the numbers are the same, then the solids are similar.
300 = 300

The solids are similar! The scale factor from the larger solid to the smaller solid is 6/5 or 1.2. The scale factor from the smaller solid to the larger solid is 5/6.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

You might be interested in

Set up a proportion table. for: At a hardware store, the price of 3 feet of rope is $1.20. What is the price of 8 feet of rope?

slavikrds [6]

3/1.2 = 8/x

3x = 9.6

x = 3.2

5 0

3 years ago

Read 2 more answers

If 4f(x)+f(5-x)=x2<br><br> What is f(x)?

aksik [14]

We are given that $4f(x)+f(5-x)=x^2$ .

Substitute x with 5-x, then the above equation becomes:

$4f(5-x)+f(5-(5-x))=(5-x)^2$ , that is

$4f(5-x)+f(x)=(5-x)^2$

So, we have the following system of equations:

i) $4f(x)+f(5-x)=x^2$
ii) $4f(5-x)+f(x)=(5-x)^2$

multiply the first equation by -4, so that we eliminate f(5-x)'s

i) $-16f(x)-4f(5-x)=-4x^2$
ii) $4f(5-x)+f(x)=(5-x)^2$

adding the 2 equations side by side we have:

$-15f(x)=-4x^2+(5-x)^2$

expanding the binomial, and collecting same terms we have:

$-15f(x)=-4x^2+(25-10x+x^2)$

$-15f(x)=-3x^2-10x+25$

dividing by -5:

$3f(x)=\frac{3}{5}x^2+2x-5$

dividing by 3:

$\displaystyle{f(x)= \frac{1}{5}x^2+ \frac{2}{3}x-\frac{5}{3}$

Answer: $\displaystyle{f(x)= \frac{1}{5}x^2+ \frac{2}{3}x-\frac{5}{3}$

6 0

3 years ago

Lydia drove 216 miles and used 6 gallons of gasoline on a recent trip. Which of the following represents the unit rate of gasoli

yulyashka [42]

Step-by-step explanation:

is their an attachment for the problem?

7 0

2 years ago

Read 2 more answers

Can someone solve this please

Radda [10]

She is incorrect because x^2 can still be factored.

5 0

3 years ago

What is the oppistite of 63

Lina20 [59]

Answer:

-63

Step-by-step explanation:

The opposite, or additive inverse of a number is found by changing the sign of the number. With the exception of zero, a number and its opposite (additive inverse) sum to zero.

3 0

2 years ago

Read 2 more answers