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timurjin [86]
3 years ago
9

A cylinder has a height of 13 millimeters and a radius of 15 millimeters. What is its volume? Use ​ ≈ 3.14 and round your answer

to the nearest hundredth.
Mathematics
1 answer:
Butoxors [25]3 years ago
5 0

Answer: The volume of the cylinder is 9,184.5 cubic millimeters.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a cylinder (V) : π x radius ² x height

Replacing with the values given and solving for v (Volume)

V = 3.14 x 15² x 13

V = 9,184.5 mm3

In conclusion, the volume of the cylinder is 9,184.5 cubic millimeters.

Feel free to ask for more if needed or if you did not understand something  

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A farmer can buy two types of plant​ food, mix A and mix B. Each cubic yard of mix A contains 35 pounds of phosphoric​ acid, 15
Nadusha1986 [10]

Answer:

The answer is below

Step-by-step explanation:

Given that the minimum monthly requirements are 840 pounds of phosphoric​ acid, hence:

35 pounds of phosphoric acid mix A + 14 pounds of phosphoric acid mix B ≥ 840 pounds of phosphoric​ acid

35x + 14y ≥ 840

The minimum monthly requirements are 540 pounds of nitrogen, hence:

15 pounds of nitrogen mix A + 18 pounds of nitrogen mix B ≥ 540 pounds of nitrogen

15x + 18y ≥ 540

The minimum monthly requirements are 768 pounds of potash, hence:

16 pounds of potash mix A + 64 pounds of potash mix B ≥ 768 pounds of potash

16x + 64y ≥ 768

Also, x ≥ 0 and y ≥0.

Therefore the equations are:

35x + 14y ≥ 840

15x + 18y ≥ 540

16x + 64y ≥ 768

x ≥ 0 and y ≥ 0

Plotting with geogebra gives the graph below.

The point are (0,60), (48,0), (18,15), (32,4)

7 0
3 years ago
in the year 2001, a person bought a new car for $22000. for each consecutive year after that, the value of the car depreciated b
igomit [66]

Answer:

To the nearest hundred dollars, the car will be worth $17,900 by 2005

Step-by-step explanation:

Firstly, we need to write the depreciation equation

We have this as:

V = I(1 - r)^t

V is the present value which is what we want to calculate

I is the initial value, the amount the cad was bought which is $22,000

r is the rate of change which is 5% = 5/100 = 0.05

t is the time difference which is 2005-2001 = 4

Substituting all these into the depreciation equation, we have it that

V = 22,000(1 -0.05)^4

V = $17,919.1375

To the nearest hundred dollars, that would be;

$17,900

7 0
3 years ago
Growth or decay pls answer
algol13

Answer:

exponential decay because the base is less than one

Step-by-step explanation:

6 0
3 years ago
Someone help please!<br><br><br><br>X+3y=-7 5x+6y=-8​
White raven [17]

Step-by-step explanation:

I have used substitution method here to find the value of x and y.

8 0
3 years ago
On the distant plant, Mathology, a sports area covers 7400 yodels2. How many square deckles would this be if 1 deckle = 75.9 yod
STatiana [176]

Answer:

It would be <u>97.50</u> square deckles.

Step-by-step explanation:

Given:

On the distant plant, Mathology, a sports area covers 7400 yodels².

1 deckle = 75.9 yodels.

Now, to get the square deckles.

As given, 1 deckle = 75.9 yodels.

So, to get the square deckles by using conversion factor:

<em>75.9 yodels = 1 deckle.</em>

7400 yodels² = 7400\div 75.9

                       = 97.50\ deckels ^2.

Therefore, it would be 97.50 square deckles.

8 0
3 years ago
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