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Viefleur [7K]
3 years ago
13

A right circular cylinder has a height of 20 and 1/2 feet in diameter of 1 1/5 times its height what is the volume of the cylind

er
I REALLY NEED THIS WILL MARK BRAINLIEST
Mathematics
1 answer:
kaheart [24]3 years ago
3 0

Answer:

it will be 9738.54

Step-by-step explanation:


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Suppose you cool a pot of soup in a 20°C room. Right when you take the soup off the stove, you measure its temperature to be 180
dezoksy [38]

Answer:

  • 28.3 minutes
  • 53.6°C

Step-by-step explanation:

The temperature of the soup is described by Newton's Law of Cooling, which says the rate of change of temperature is proportional to the difference between the temperatures of the soup and the room. The solution to this differential equation is the exponential function ...

  f(t) = a +b·c^(t/τ)

where a is the room temperature, b is the initial difference in temperature, and c is the fractional change in the difference in temperature over time period τ.

__

<h3>application</h3>

For the given scenario, we find ...

  a = room temperature = 20 . . . . degrees C

  b = (180 -20) = 160 . . . . degrees C

  c = (100 -20)/(180 -20) = 80/160 = 1/2 . . . . in τ = 20 minutes

So, the formula for the temperature of the soup is ...

  f(t) = 20 +160(1/2)^(t/20) . . . . . . . degrees C after t minutes

__

<h3>time to 80°C</h3>

Solving for t when f(t) = 80, we find ...

  80 = 20 +160(1/2)^(t/20)

  3/8 = (1/2)^(t/20) . . . . . subtract 20, divide by 160

  20×log(3/8)/log(1/2) = t ≈ 28.3 . . . take logarithms, divide by coefficient of t

It will take about 28.3 minutes to cool to 80°C.

__

<h3>temp at 45 minutes</h3>

The temperature after 45 minutes is ...

  f(45) = 20 +160(1/2)^(45/20)

  f(45) ≈ 53.6 . . . . degrees C

After 45 minutes the temperature of the soup will be about 53.6°C.

3 0
2 years ago
Read 2 more answers
Simon and his niece Marcie are comparing their ages to see if there is a Mathematical connection. They find that Simon is three
Rom4ik [11]

Answer:

Simon's Age = 47

Marcie's Age = 11

Step-by-step explanation:

<em>The question is to find Simon's age and Marcie's age.</em>

<em />

Let Simon's age be x and Marcie's age be y

<u>Simon is 3 years more than 4 times marcie, so we can write:</u>

x = 4y + 3

Also,

<u>Sum of their ages is 58, so we can write:</u>

x + y = 58

or x = 58 - y

Now, we substitute this into 1st equation and solve for y first:

x = 4y + 3\\58-y = 4y + 3\\58-3=4y+y\\55=5y\\y=\frac{55}{5}\\y=11

We know

x = 58 - y

so,

x = 58 - 11

x = 47

So,

Simon's Age = 47

Marcie's Age = 11

3 0
3 years ago
50 POINTS + BRAINLIEST
BARSIC [14]

slope = rise over run = y/x

A (-1,3) slope = 3/-1 = -3

B (1,2) slope = 2/1 = 2

C (-3,-1) slope = -1/-3 = 1/3

2 lines need to be negative reciprocals in order to be a right triangle

negative reciprocal of -3 is 1/3

 so this is a right triangle


3 0
3 years ago
Read 2 more answers
Pamela has 4 pink ribbons, 3 green ribbons, and 1 blue ribbon. what fraction of Pamela's ribbons are green?
Brrunno [24]
The total number of ribbons is 8 because 4 + 3 + 1 is 8
The number of green ribbons is 3
That means that 3 out of the 8 ribbons are green
Answer: 3/8
6 0
3 years ago
Read 2 more answers
PLEASE HELP 94 POINTS (might take awhile but its worth it)
STatiana [176]
Hello,


1   .65 + 0.20(65) = 65 + 13 = 78
(65 - 60) / 65 = 5/65 = 0.0769 x 100 = 7.69 rounds to 7.7 % decrease compared to the 65 pizza's sold yesterday

2.  I posted a file to help you on this question!

3. <span>Find principal by using the formula </span><span>I=P⋅i⋅t</span><span>, where </span>I<span> is interest, </span>P<span> is total principal, </span>i<span> is rate of interest per year, and </span>t<span> is total time in years.
</span>
So basically your answer is 600.


I truley hope this helps.

Have a good day!


-Jurgen

4 0
3 years ago
Read 2 more answers
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