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3 years ago

What is the surface area of the cylinder with height 4m and radius 2m? Round your answer to the nearest thousandth.

Mathematics

1 answer:

Artyom0805 [142]3 years ago

3 0

Answer:

50.265m^3

Step-by-step explanation:

because the formula for solving this problem is πr^2•height and then to finish solving it would have to be put into cubed as it's 3d

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Solve each system by graphing.

Kryger [21]

9514 1404 393

Answer:

(x, y) = (4, -4)

Step-by-step explanation:

A graphing calculator makes graphing very easy. The attachment shows the solution to be (x, y) = (4, -4).

The equations are in slope-intercept form, so it is convenient to start from the y-intercept and use the slope (rise/run) to find additional points on the line.

The first line can be drawn by staring at (0, -2) and moving down 1 grid unit for each 2 to the right.

The second line can be drawn by starting at (0, 2) and moving down 3 grid units for each 2 to the right.

The point of intersection of the lines, (4, -4), is the solution to the system of equations.

3 0

2 years ago

How many distinct triangles can be formed for which m∠E = 64°, g = 9, and e = 10?<br> triangle(s)

Shalnov [3]

Using the law of sines, it is found that 1 triangle can be formed with the given conditions.

<h3>What is the law of sines?</h3>

Suppose we have a triangle in which:

The length of the side opposite to angle A is a.

The length of the side opposite to angle B is b.

The length of the side opposite to angle C is c.

The lengths and the sine of the angles are related as follows:

$\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}$

Hence, for this problem, we have that the relation is:

$\frac{\sin{64^\circ}}{10} = \frac{\sin{G}}{9}$

$\sin{G} = 0.9\sin{64^\circ}$

$\sin{G} = 0.8089$

$G = \arcsin{0.8089}$

G = 54º

A triangle can have one angle of 64º and another of 54º, hence 1 triangle can be formed with the given conditions.

More can be learned about the law of sines at brainly.com/question/25535771

#SPJ1

5 0

2 years ago

Tania has 6 tiles with pictures of plants and 3 tiles with pictures of animals. Tania keeps all the tiles on a mat with the pict

Natalka [10]

Initially there were 6 tiles with pictures of plants and 3 tiles with pictures of animals.
She removes one tile with the picture of a plant, so now there are 5 tiles with pictures of plants and 3 tiles with pictures of animals. There are 5+3=8 tiles in total.

The probability that the second tile has a plant on it is the number of tiles with pictures of plants (5) divided by the total number of tiles (8).

The probability is $\frac{5}{8}$ .

5 0

3 years ago

3. In triangle ABC, m<BAC = 4x + 10, m<ABC = 5x + 18, and m<BCA = 3x - 16. <br>(a) Find the value of x. <br>(b) Find th

belka [17]

(a) Find the value of x.

Sum of interior in a triangle = 180

So m<BAC + m<ABC + m<BCA = 180

4x + 10 + 5x + 18 + 3x - 16 = 180

12x + 12 = 180

12x = 168

x = 14

(b) Find the measure of <3.

<3 + <BCA = 180

<BCA = 3x - 16 = 3(14) - 16 = 26°

<3 = 180 - <BCA

<3 = 180 - 26

<3 = 154°

7 0

2 years ago

Duane rode his bike at 14 miles per hour for 3 hours, then put the bike down and began walking at miles 2 per hour. Elizabeth st

Colt1911 [192]

Elizabeth will take <u>9 hours and 45 minutes</u> to catch up with Duane using the given speed-distance-time values.

The speed-distance-time relations are:

Speed = Distance/Time, Distance = Speed*Time, and Time = Distance/Speed.

The distance traveled by Duane on the bike at 14 miles per hour for 3 hours = 14*3 miles = 42 miles.

The time that Elizabeth takes to cover 42 miles jogging at 5 miles per hour = 42/5 hours = 8.4 hours.

The distance traveled by Duane in the extra time which Elizabeth took to reach his bike (8.4 - 3 = 5.4 hours) walking at 2 miles per hour = 2*5.4 = 10.8 miles.

Now, the distance between Elizabeth and Duane is 10.8 miles, before Elizabeth starts riding the bike.

Keeping the distance constant, we calculate the relative speed to calculate the time to cover this distance.

Relative speed = Elizabeth's speed - Duane's speed {As Elizabeth is moving towards Duane, that is, covering the distance but Duane is moving away from Elizabeth, that is, increasing the distance}.

or, Relative speed = 10 - 2 = 8 miles per hour.

Time taken to cover the distance = 10.8/8 = 1.35 hours.

Therefore, the total time taken by Elizabeth to catch up with Duane = 8.4 + 1.35 hours = 9.75 hours or 9 hours and 45 minutes.

Learn more about the speed-distance-time relations at

brainly.com/question/4931057

#SPJ4

4 0

1 year ago