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ExtremeBDS [4]
3 years ago
7

Describe the relationship between the two quantities. Volume of a cylinder; Height & radius of cylinder's base.

Mathematics
2 answers:
seropon [69]3 years ago
5 0

Answer:

The Volume is directly proportional to the radius in the Base Area and the height of a Cylinder

Step-by-step explanation:

Well, every time you check it out the Volume of Cylinder

V=\pi r^{2}h

You can view it as:

Base Area times the height

Base Area= \pi r^{2} Circle Area

Height =h

So the Volume is directly proportional to the radius in the Base Area and the height of a Cylinder. The higher the cylinder, the more volume it will be able to take. The larger the base (bigger the radius) the greater capacity it will take.

oee [108]3 years ago
4 0

Answer:

V = pi r^2 h

Step-by-step explanation:

Volume  = the constant pi times the square of radius of the base * height

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69. REAL-WORLD APPLICATIONS
svp [43]

Answer:

Cost of per session the average rate is $45.

Step-by-step explanation:

It is given that a gym membership with two personal training session cost $125, while gym membership with five personal training sessions cost $260.

It is required to find what is the cost per session.

Step 1 of 1

It is given that a gym membership with two personal training session cost $125, while gym membership with five personal training sessions cost $260.

To find the cost of per session calculate the average rate.

Now let $f(x)$ be the cost per session use the for the average rate of change, and the input value is the number of personal traings x.

$m=\frac{f\left(x_{2}\right)-f\left(x_{1}\right)}{x_{2}-x_{1}}$$

Now substitute, $125 for $f\left(x_{2}\right), 260 for $f\left(x_{1}\right), 2$ for $x_{1}$ and 5 for $x_{2}$ then,

$m=\frac{260-125}{5-2}$\$$\begin{aligned}&=\frac{135}{3} \\&=45\end{aligned}$$

Cost of per session the average rate is $45.

3 0
1 year ago
Please help me find measure of angle LKM if measure of angle LKN = 145°​
natali 33 [55]

Answer:

56

Step-by-step explanation:

The thing to realize is that the total of both angles that have x in them is that they add to 145. That's given.

<LKM + <MKN = 145

2x + 10 + 4x - 3 = 145              Combine like terms

6x + 7 = 145                             Subtract 7 from both sides

6x = 138                                   Divide by 6

x = 138/6

x = 23

That's not the answer.

2x + 10 = <LKM

2*23 + 10 = <LKM

46 + 10 = <LKM

56 = <LKM

3 0
3 years ago
The age of the Hawaiian islands gets older as you move from east to west. If the half-life of K-40 is 1.3 billion years, approxi
Mumz [18]

Answer:

t \approx 750550.12\,yr

Step-by-step explanation:

The time constant of the isotope is:

\tau = \frac{1.3\times 10^{9}\,yr}{\ln 2}

\tau \approx 1.876 \times 10^{9}\,yr

The decay of the isotope is described by the following model:

\frac{m}{m_{o}} = e^{-\frac{t}{\tau} }

Now, the time is cleared in the equation:

t = -\tau \cdot \ln \frac{m}{m_{o}}

t = - (1.876\times 10^{9}\,yr)\cdot \ln 0.9996

t \approx 750550.12\,yr

5 0
3 years ago
Select the correct answer. For what purpose are goods and services produced in a socialist economy? A. profits B. their usefulne
Alisiya [41]

Answer: B. their usefulness

Step-by-step explanation: A socialist economy may be described as a system whereby factors of production including goods and services are generally explored and processes in other to serve and benefit the people. In socialism, resources are deemed to be owned by all members of the public and as such total control resides with the government who makes decision on production, processing and sales of the resources to serve useful benefit for the people. The socialist econmoy opposes the capitalist form of government whereby goods and services are generated in other to yield profit.

5 0
3 years ago
The average of 3 test scores if the first two scores are 78 and 82 s=3rd test score
katen-ka-za [31]
If you're given 78 and 82 the answer is a simple average
(78 + 82 + s)/3

3 0
3 years ago
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