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2 years ago

14

A cylinder and a cone each have a radius of 3 cm. and a height of 8 cm. What is the ratio of the volume of the cone to the volum

e of the cylinder?

1 answer:

Llana [10]2 years ago

3 0

Length x Width x Height = answer. So 3 x 8 = 24 so the volume is 24.

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Lyle uses a streaming service to watch movies. Last month he paid $26.91 and watched 9 movies. If he watches 11 movies this mont

Anastasy [175]

Answer:

A. $32.89

Step-by-step explanation:

Take the amount and divide by the number of movies watched

26.91 / 9 =2.99

Now multiply by the new number of movies he wants to watch, 11

2,99 *11

32.89

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11 months ago

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100000000000000000000000000000000000000000000000 X 100000000000000000000000000000000000000000000000

AlladinOne [14]

Take all the zero's away and multiply the numbers that are left.

which is 1*1=1 now add all of the zeros to that one which will turn it into

10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

which is the answer

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3 years ago

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3 years ago

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Solve 12^x^2+5x-4 = 12^2x+6

faust18 [17]

The solutions for ‘x’ are 2 and -5

<u>Step-by-step explanation:</u>

Given equation:

$12^{x^{2}+5 x-4}=12^{2 x+6}$

Since the base on both sides as ‘12’ are the same, we can write it as

$x^{2}+5 x-4=2 x+6$

$x^{2}+5 x-2 x-4-6=0$

$x^{2}+3 x-10=0$

Often, the value of x is easiest to solve by $a x^{2}+b x+c=0$ by factoring a square factor, setting each factor to zero, and then isolating each factor. Whereas sometimes the equation is too awkward or doesn't matter at all, or you just don't feel like factoring.

<u>The Quadratic Formula:</u> For $a x^{2}+b x+c=0$ , the values of x which are the solutions of the equation are given by:

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Where, a = 1, b = 3 and c = -10

$x=\frac{-3 \pm \sqrt{(-3)^{2}-4(1)(-10)}}{2(1)}$

$x=\frac{-3 \pm \sqrt{9+40}}{2}$

$x=\frac{-3 \pm \sqrt{49}}{2}=\frac{-3 \pm 7}{2}$

So, the solutions for ‘x’ are

$x=\frac{-3+7}{2}=\frac{4}{2}=2$

$x=\frac{-3-7}{2}=\frac{-10}{2}=-5$

The solutions for ‘x’ are 2 and -5

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2 years ago

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What is the justification for step 2 in the solution process?

Maksim231197 [3]

Answer:

Subtract property of deviation becasue your subtracting 6y frrom both sides of the equation.

Step-by-step explanation:

1)Given: 12y - 40 - 4y = 6y - 18

2)Simplify by adding 12y + (-4y): 8y - 40 = 6y - 18

3)Subtract property of deviation: 8y -6y - 40 = 6y -6y - 18

2y - 40 = -18

<em>Hope this helped!</em>

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