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melisa1 [442]
3 years ago
13

Find volume of cylinder Show work

Mathematics
1 answer:
zloy xaker [14]3 years ago
8 0

For this case we have that by definition, the volume of a cylinder is given by:

V = \pi * r ^ 2 * h

Where:

A: It is the radius of the cylinder

h: It's the height

We have according to the data that:

r = \frac {34} {2} = 17 \ m\\h = 27 \ m

Substituting in the equation we have:

V = \pi * (17) ^ 2 * 27\\V = \pi * 289 * 27\\V = 24501.42\ m^3

ANswer:

V = 24501.42\ m^3

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Solve the proportion to determine the value of x. <br><br> 2x / 5 = x+3 / 3
ale4655 [162]
When you solve a proportion, your first step should be to cross-multiply.

\frac{2x}{5} = \frac{x + 3}{3}

When you cross-multiply, you should get this equation:

(2x)(3) = (x + 3)(5)

Now, solve it using algebra.

(2x)(3) = (x + 3)(5)       Multiply
       6x = 5x + 15         Subtract 5x from both sides
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The value of x is 15.
4 0
3 years ago
Given the points J(4,-7) and L(-2,13), find the coordinates of point k on JL such that the ratio of jk is 1:4
Irina-Kira [14]

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Step-by-step explanation:

we shall use the internal division formula to find the coordinates of point k

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From the question;

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x1 = 4, x2= -2

y1 = -7 , y2 = 13

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3 0
3 years ago
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NNADVOKAT [17]

Answer:

x=\frac{-7+-\sqrt{37} }{6}

Step-by-step explanation:

This (±) goes between the -7 and \sqrt{37}

3x^{2} +7x+1=0

ax^{2} +bx+c

-b ± \sqrt{b^2-4ac}/2a

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2 years ago
Katia and Thomasina play a computer game and record these scores. Katia: 8, 6, -4, -7, 2, 0, 3 Thomasina: -11, 0, 8, 7, 5, -7, 1
suter [353]

Answer:

Step-by-step explanation:

there is no factorization of y^2 -2y +35 in real numbers

Thomasina correctly determined two factors of 35 that differ by 2, but that is not what is needed here. For this problem, she needs two factors of 35 that have a sum of 2.* (There aren't any real-number factors that meet that condition.)

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The factorization in complex numbers would be ...

 = (y -1 -i√34)(y -1 +i√34)

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* Technically, she needs two factors of 35 with a sum of -2. Both factors would have to be negative.

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3 years ago
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