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2 years ago

What is the total surface area of the following cylinder?

Mathematics

1 answer:

lilavasa [31]2 years ago

6 0

Answer: $791.28cm^2$

Step-by-step explanation:

$A=2\pi rh+2\pi r^2$

We have the diameter, to calculate the radius, divide by 2.

12/2=6cm

height: 15cm

Plug in the formula.

$A=2(3.14)(6cm)(15cm)+2(3.14)(6cm)^2\\A=565.20cm^2+226.08cm^2\\A=791.28cm^2$

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Please hurry!!!! 20 pts

Ivahew [28]

The slope for is JK 1/3 , the slope of LK is -2 , the slope of ML is 2/5 , and the slope of MJ is 3/2 . Quadrilateral JKLM is not a parallelogram because neither pair of opposite sides is parallel

Further explanation:

Given vertices are:

J(−4, 1) , K(2, 3) , L(5, -3) , and M(0, −5) .

We have to find the slopes before concluding any result

The formula for slope is:

$m=\frac{y_2-y_1}{x_2-x_1}$

So:

Slope of JK:

$m_1=\frac{3-1}{2-(-4)}\\=\frac{2}{2+4}\\=\frac{2}{6}\\=\frac{1}{3}$

Slope of LK:

$m_2=\frac{-3-3}{5-2}\\=\frac{-6}{3}\\=-2$

Slope of ML:

$m_3=\frac{-3-(-5)}{5-0}\\=\frac{-3+5}{5}\\=\frac{2}{5}$

Slope of MJ:

$m_4=\frac{1-(-5)}{-4-0}\\=\frac{1+5}{-4}\\=\frac{6}{-4}\\=-\frac{3}{2}$

As the slopes of all sides are different, the given quadrilateral is not a parallelogram because in order for the quadrilateral to be a parallelogram the opposite sides have to be parallel i.e. have equal slopes and there are no sides with equal slopes.

Keywords: Parallelogram, Quadrilateral

Learn more about quadrilateral at;

#LearnwithBrainly

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2 years ago

Which of the following equations is the equation 2 - 3y + 6x = 0 written in slope-intercept form?

IgorLugansk [536]

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3 years ago

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2 years ago

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3 years ago

Write the equation of the line that passes through (5.-9) and (2.5).

Kipish [7]

Answer:

y = -14/3x + 43/3

Step-by-step explanation:

y2 - y1 / x2 - x1

5 - (-9) / 2 - 5

14 / -3

- 14/3

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5 = -14/3(2) + b

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2 years ago