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Musya8 [376]
3 years ago
5

Determine the volume of the cylinder

Mathematics
1 answer:
Igoryamba3 years ago
6 0

Answer:

about 904.78

Step-by-step explanation:

πr^2h pi(6)^2 * 8

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If it takes you 40 minutes to go 20 miles downstream and then 60 minutes on the way back, what is the speed of the current?
IrinaK [193]

Answer:

Speed of Current = 5 miles per hour

Step-by-step explanation:

We know distance formula,

D = RT

Where

D is distance

R is rate

T is time

If we let speed of boat (assume) to be "x" and speed of current to be "c"

Then downstream rate is (with current) = x + c

Upstream rate is (against current) = x - c

40 mins to go 20 miles downstream, that means:

D = RT

20 = (x + c)(40)

and

60 minutes to go upstream, 20 miles, that means:

D = RT

20 = (x - c)(60)

Simplifying first equation:

40x + 40c = 20

Simplifying second equation:

60x - 60c = 20

Multiplying first equation by 60, we get:

60 * [40x + 40c = 20] = 2400x + 2400c = 1200

Multiplying second equation by 40, we get:

40 * [60x - 60c = 20] = 2400x - 2400c = 800

Now we add up both these equations:

2400x + 2400c = 1200

2400x - 2400c = 800

----------------------------------

4800x = 2000

x = 2000/4800 = 5/12

We need speed of current, that is "c", so we plug in the value of x into first equation and solve for c:

40x + 40c = 20\\40(\frac{5}{12}) + 40c = 20\\\frac{50}{3}+40c=20\\40c=20-\frac{50}{3}\\40c=\frac{10}{3}\\c=\frac{1}{12}

Speed of Current = 1/12 miles per minute

Since there is 60 minutes in an hours, that would be:

(1/12) * 60 = 5 miles per hour

Speed of Current = 5 miles per hour

3 0
3 years ago
Can someone please explain to me how to solve these types of equations? I'm supposed to solve for x in 4^(-5x-6)=4^(9x+4)
Ksenya-84 [330]

Answer:-5/7 i think that is wrong

Step-by-step explanation:

8 0
3 years ago
You roll a die and then roll the die again. How many possible outcomes are there
siniylev [52]

Answer:

Step-by-step explanation:

If one event has p possible outcomes, and another event has m possible outcomes, then there are a total of p • m possible outcomes for the two events. Rolling two six-sided dice: Each die has 6 equally likely outcomes, so the sample space is 6 • 6 or 36 equally likely outcomes.

7 0
3 years ago
Read 2 more answers
What is the value of 7 1/12 - 4 5/6
Lynna [10]
Hello!

First of all we need to get a common denominator. Therefore we multiply 5/6 by 2/2, giving us 10/12.

Now we subtract 

7 1/12-4 10/12
2 3/12=2 1/4

Therefore, our answer is A) 2 1/4.

I hope this helps!
8 0
3 years ago
(6r-48)+3>(7r+21)-23
omeli [17]

6r-48+3>7r+21-23

6r-45>7r-2

6r-7r>-2+45

-r>43

r<-43

notice that the inequality changes its meaning once you multiply/divide by a negative number

8 0
3 years ago
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