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Readme [11.4K]
3 years ago
11

Find the surface area of a cylinder with a base radius of 2 cm and a height of 3 cm.

Mathematics
1 answer:
jek_recluse [69]3 years ago
6 0

Answer: 62.8cm^2

Step-by-step explanation:

The surface area of a cylinder is calculated by 2πrh+2πr2

where π is a constant, given as 3.14; h is the height, given as 3cm and r is radius, given as 2cm.

Therefore, rh = 3 x 2= 6 cm ^2 while r^2 =2 × 2= 4 cm^2.

Slot the values into the formula:

V= 2 (3.14) x 6 + 2 (3.14) x 4

V=37.68 + 25.12

V=62.8cm ^2

I hope this helps

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Subtract 6a +3 from 3a-5​
mariarad [96]

Answer:

3a-2

Please mark brainliest and Click Thanks button!

<Jayla>

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4 years ago
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Hey if anyone could help me solve this that be awesome :D
Montano1993 [528]
I'm here to help.  Those 3 points all lie on the same line.  We know this because if we find the slope between any 2 of those points, it is the same.  I'll show you: m= \frac{12-20}{15-10}=- \frac{8}{5}.  Now another 2 points: m= \frac{4-12}{20-15}=- \frac{8}{5}.  The same holds for the first and third points.  So we got that out of the way.  Now we will pick any one of those points and use the x and y values and our slope to write an equation of that line and then finally solve for the x and y intercepts.  I'm going to use the first point (10, 20): y-20=- \frac{8}{5}(x-10).  We will simplify to get it into y = mx + b form: y-20=- \frac{8}{5}x+ \frac{80}{5} and y-20=- \frac{8}{5}x+16 and finally, y=- \frac{8}{5}x+36.  The y-intercept exists when x = 0, so when x = 0, y = 36.  The x-intercept exists when y = 0, so when y = 0, x = 22.5.  In summary, y-intercept: (0, 36).  x-intercept: (22.5, 0)  and you're all done!
7 0
3 years ago
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Complete the two-column proof using the figure below.
Aleksandr [31]

Answer:

Step-by-step explanation:

Converse of alternate interior angles theorem:

This theorem states that if two lines are intersected by a transversal and the alternate interior angles are congruent, lines will be parallel.

Therefore, p║n.

Perpendicular transversal theorem:

By this theorem,

In a plane, if a line is perpendicular to one of two parallel lines, then it will be perpendicular to the other line.

Therefore, l ⊥ p.

Options selected in the blank spaces are correct.

7 0
3 years ago
A coconut falls from the top of a tree and reaches a velocity of 19.6 m/s when it hits the ground. it takes two seconds to reach
SashulF [63]

Using the velocity formula, it is found that the acceleration is of a = 9.8 m/s².

<h3>What is the velocity formula?</h3>

It is given by the initial velocity plus acceleration multiplied by time, that is:

v(t) = v0 + at.

In this problem, we have that v(0) = 0, t = 2, v(2) = 19.6, hence:

v(t) = v0 + at.

19.6 = 0 + 2a.

2a = 19.6.

a = 19.6/2.

a = 9.8 m/s².

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6 0
2 years ago
Mai uses Triangle A and says the slope of this line is `\frac{6}{4}.` Elena uses Triangle B and says no, the slope of this line
nikdorinn [45]

Answer:

I agree with both of them because they are both correct

Step-by-step explanation:

See attachment for complete question;

Slope (m) is calculated using the following formula:

m = \frac{Rise}{Run}

Where

Rise = Vertical\ Distance

Run = Horizontal\ Distance

From the attachment, we have the following:

Triangle A

Rise = 6\ units

Run = 4\ units

So:

m = \frac{Rise}{Run}

m = \frac{6}{4}

<em>In this case, Mai is correct:</em>

Triangle B

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So:

m = \frac{Rise}{Run}

m = \frac{1.5}{1}

m = 1.5

<em>In this case, Elena is also correct:</em>

8 0
3 years ago
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