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3 years ago

. A cylinder with a height of 4 meters has a

Mathematics

1 answer:

Zolol [24]3 years ago

8 0

Answer:

30 meters

Step-by-step explanation:

Volume of a cylinder = πr^2h

2,827.43 = πr^2(4)

2,827.43 = 3.14(4)r^2

2,827.43 = 12.56*r^2

2,827.43/12.56 = (12.56*r^2)/12.56

225.11 = r^2, find square root of both sides

r = 15

diameter = 30

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What is the equation of the line in slope intercept form using these points?

deff fn [24]

Answer:

y = -x - 1

Step-by-step explanation:

1. The slope-intercept form of any linear equation is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept.

2. To find the slope given two points, we can use the formula $\frac{y_2-y_1}{x_2-x_1}$ and plug in the corresponding variable.

$\frac{5-(-2)}{-6-1}$
$\frac{5+2}{-7}$
$\frac{7}{-7}$
$-1$

3. Okay, so the slope is -1x or just -x. This means that the equation looks like this so far: y = -x + b

4. To find b, the y-intercept, we can take the equation of $b = y_1 - m * x_1$ and plug in the values!

$b = -2-(-1)*1$
$b = -2 + 1 * 1$
$b = -1 * 1$
$b = -1$

5. Now that we have our y-intercept and slope, let's plug in those values and find the equation!

$y = -x - 1$

Therefore, the equation of the line is y = -x - 1. I hope this helped you!

3 0

3 years ago

What has she done wrong?

Strike441 [17]

Answer:

see explanation

Step-by-step explanation:

Her error is in squaring (2y)²

She has (2y)² = 2y²

when it should be 2y × 2y = 4y²

Then

(2y)² = 6² + 8²

4y² = 36 + 64

4y² = 100 ( divide both sides by 4 )

y² = 25 ( take square root of both sides )

y = $\sqrt{25}$ = 5

8 0

3 years ago

8a - 2b + 12a - 2a - 4b

chubhunter [2.5K]

-52

Step-by-step explanation:

8.4-2.22+12.4-4.22=

=32-44+48-88=

=-132+80=

=-52

8 0

3 years ago

Which class has 40% girls

Effectus [21]

Answer:

C. 48 out of 120

Hope that helps! :)

-Aphrodite

Step-by-step explanation:

5 0

3 years ago

Based on the table below, evaluate f ( 8 ) . f ( 8 ) = 0 1 2 3 4 5 6 7 8 9 f ( x ) 8 69 95 25 85 75 26 15 52 49

Tems11 [23]

$\\
\text{Consider the given table for the function }f(x).\\
\\
\text{we know that for any function f(x), the value of the function at}\\
\text{any point x=a is given by the expression }f(a).\\
\\
\text{so in order to find the value of the f(8), we look for the value of}\\
\text{the function at x=8.}\\
\\
\text{from the given table, we can see that at x=8, the function value is 52}\\
\\
\text{hence the value of function at x=8 is given by, }f(8)=52.$

From the table, we can see that f(8) = 52

3 0

4 years ago