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Oksi-84 [34.3K]
3 years ago
5

what is the similarity ratio of the smaller to the larger similar cylinders? enter your answer as a:b​

Mathematics
1 answer:
Andre45 [30]3 years ago
4 0

Answer:

2 : 3

Step-by-step explanation:

Given:

The two cylinders are similar. So, their corresponding dimensions must be in proportion.

\frac{\textrm{Radius of small cylinder}}{\textrm{Radius of larger cyclinder}}=\frac{12}{18}=\frac{2}{3}=2:3

\frac{\textrm{Height of small cylinder}}{\textrm{Height of larger cylinder}}=\frac{20}{30}=\frac{2}{3}=2:3

Therefore, the similarity ratio of the smaller to the larger similar cylinders is 2 : 3.

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Find the unit rate<br> 180 miles in 4 hours =<br> miles per hour
Andrei [34K]

Answer:

= 45 miles per hour

Step-by-step explanation:

First, we want a unit rate where 1 is in the denominator.

So we divide,

180 miles/ 4 hours both ÷ by 4

= 45 miles/ 1 hour

= 45 miles/ hour

= 45 miles per hour

5 0
2 years ago
A large stand of fir trees occupies 24 hectares. The trees have an average density of 1 tree per 20m squared. A forester estimat
Leona [35]

Answer:

The yield of the stand if one-tenth of the trees are cut is 360000 board-feet.

Step-by-step explanation:

First, let is find the total amount of fir trees that occupies the area of 24 hectares. (1 hectare = 10000 square meters)

n = \sigma \cdot A

Where:

\sigma - Surface density, measured in trees per square meter.

A - Total area, measured in square meters.

Given that \sigma = \frac{1}{20}\,\frac{tree}{m^{2}} and A = 24\,h, the total amount of fir trees is:

n = \left(\frac{1}{20}\,\frac{trees}{m^{2}}  \right)\cdot (24\,h)\cdot \left(10000\,\frac{m^{2}}{h} \right)

n = 12000\,trees

It is known that one-tenth of the tress are cut, whose amount is:

n_{c} = 0.1 \cdot n

n_{c} = 0.1 \cdot (12000\,trees)

n_{c} = 1200\,trees

If each tree will yield 300 board-feet, then the yield related to the trees that are cut is:

y = S\cdot n_{c}

Where:

S - Yield of the tress, measured in board-feet per tree.

n_{c} - Amount of trees that will be cut, measured in trees.

If n_{c} = 1200\,trees and S = 300\,\frac{b-ft}{tree}, then:

y = \left(300\,\frac{b-ft}{tree} \right)\cdot (1200\,trees)

y = 360000\,b-ft

The yield of the stand if one-tenth of the trees are cut is 360000 board-feet.

8 0
3 years ago
Given f(x)=2x^3-3x and g(x)=-3x^2+1, what is the value of h(3) where h(x)=(f+g)(x)?
Mamont248 [21]

Answer:

h(3) = 73

Step-by-step explanation:

The function h(x) = f(x) + g(x) = 2x^3 -3x +3x^2 +1 = 2x^3 +3 x^2 -3x+1

Now since you need to find the value of this new function at the point x=3, replace x by "3" in the expression above and perform the calculation:

h(3) = 2(3)^3 +3 (3)^2 -3(3)+1=73

3 0
3 years ago
The equation 8 − 4x = 0 has <br> real solution
omeli [17]
The equation above has no real solution because it has no real number 0 is not a number that can take place of a real solution.
Hope This helped;D

5 0
3 years ago
Read 2 more answers
What is 70833/100000 simplified​
wolverine [178]

Answer:

0.70833

Step-by-step explanation:

3 0
3 years ago
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