Find the volume of a cone with a radius of 12 units and a height of 6 units.

Mathematics

1 answer:

svlad2 [7]3 years ago

7 0

The volume is 905.32 i believe

12(12)=144, 144(3.14)=452.16, 452.16(6)=2712.96, 2712.96/3=904.32

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Is 3pi/2pi a rational number or an irrational number? Explain your reasoning

Vadim26 [7]

Answer:

It is rational

Step-by-step explanation:

The pi terms cancel out when you divide. This is due to the rule x/x = 1 where x is any number you want except x cannot be zero. So replace x with pi and we have pi/pi = 1

Therefore,

(3pi)/(2pi) = (3/2)*(pi/pi)

(3pi)/(2pi) = (3/2)*1 .... use the rule mentioned above

(3pi)/(2pi) = 3/2

we get a fraction or a ratio of two whole numbers, so this proves that the given expression is rational.

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3 years ago

Equation using the quadratic fromula for 0.05x^2 + 1.1x = 250

Anuta_ua [19.1K]

Answer:

x=60.56, x=-82.56

Step-by-step explanation:

Solve using quadratic formula

Formula is

$x=\frac{-b+-\sqrt{b^2-4ac}}{2a}$

0.05x^2 + 1.1x = 250

Subtract 250 on both sides

0.05x^2 + 1.1x - 250=0

a= 0.05, b=1.1 , c=-250

Plug in the values in the formula

$x=\frac{-1.1+-\sqrt{(1.1)^2-4(0.05)(-250)}}{2(0.05)}$

$x=\frac{-1.1+-7.156116265}{0.1}$

Now make two equations , one with + and one with -

then we solve for x

$x=\frac{-1.1+7.156116265}{0.1}$

x=60.56

$x=\frac{-1.1-7.156116265}{0.1}$

x=-82.56

3 0

3 years ago

River C is 300 Miles Longer than River D. If the sum of their lengths is 5,570 miles, what is the length of each river?

d1i1m1o1n [39]

$x-\ length\ of\ river\ D\\
x+300-\ length\ of\ river\ C\\\\
5570=x+x+300\\
5570=2x+300\ \ \ | subtract\ 300\\5270=2x\ \ \ | divide\ by\ 2\\x=2635\\\\
River\ C\ is\ 2935miles\ long\ and\ river\ D\ 2635\ miles\ long.$