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Romashka [77]
3 years ago
10

The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 24x cubic units.

Mathematics
1 answer:
horrorfan [7]3 years ago
7 0

Answer:

The answer to your question is: 6 units

Step-by-step explanation:

Data

height = 3r

Volume = 24 u³

Volume = 1/3 πr²h

Process

              24 = 1/3 (3.1416)(h/3)² (h)

              72 / 3.1416 = h³/9

              22.91 x 9 = h³

              206.26 = h³

              h =5.9 u ≈ 6 u

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What is the conditional probability that exactly four heads appear when a fair coin is flipped five times
cestrela7 [59]

Answer:

5/32

Step-by-step explanation:

If a coin if flipped five times with four heads, then it has exactly one tail. The number of way to arrange four heads and one tail are as follows:

T H H H H

H T H H H

H H T H H

H H H T H

H H H H T

Essentially, there are five way because there are five "positions" where the tail could be.

Then, you need to find the total amount of possibilities for flipping a coin five times. Every time you flip it, there are two possibilities- heads and tails. Therefore, for five flips, the total amount of possibilities is

2x2x2x2x2 = 32

You know that

probability= # of desired outcome

                   ----------------------------------  

                      # of total outcomes

So the probablity is 5/32.

8 0
3 years ago
Please help!<br> What's the answer to this?: (-5x^2)^3
timurjin [86]
The answer is -125x^6
You do
(-5)^3 * (x^2)^3
8 0
3 years ago
Read 2 more answers
Mary wants to apply a strip of wallpaper along the walls just below the ceiling. If the room is a 14 ft by 12 ft rectangle, then
Yuliya22 [10]

Answer:

<h2>52 ft.</h2>

Step-by-step explanation:

In this case, we need to calculate a perimeter, which is the sum of all sides of the rectangle.

So, rectangles has opposite sides equal, therefore, the perimeter should be:

P=2 (L+l); having L as the larger side.

P=2(14+12)\\P=2(26)\\P=52

Hence, the strip of wallpaper needs to be as least 52 ft.

6 0
4 years ago
Which is equivalent to sin-1(–0.4)? Round your answer to the nearest hundredth of a radian.
strojnjashka [21]

Answer:

-0.41 radians

Step-by-step explanation

(Credit goes to calculista)

let

A---> the angle

if sin A=-0.4

then 

A=sin-1(-0.4)

using a calculator

A=-23.578°----> the angle A belong to the IV quadrant

convert to radians

if pi radians--]----> 180°

x--------> -23.578°

x=-23.578*pi/180----> x=-0.41 radians

Read more on Brainly.com - brainly.com/question/9675799#readmore

4 0
3 years ago
The area of rectangle is ( 30x²y + 20xy ) cm² and its breadth is 10xy cm .Find its length.
emmasim [6.3K]

Step-by-step explanation:

1) The area of rectangle is ( 30x²y + 20xy ) cm² and its breadth is 10xy cm .Find its length....

= Solution ,

Length ( L ) = ?

breadth ( b ) = 10xy cm

area ( a ) = ( 30x² + 20xy )

Now ,

area ( a ) = l × b

or, ( 30x²y + 20xy ) = L × 10xy cm

or,\frac{30 {xy + 20xy}^{2} }{10xy}  = l \\

or, \: l = 3 {x}^{2 - 1}  + 2cm

\boxed{\sf{l = (3x+2)cm}}

2) Subtract the quotient when 20x⁴y² is divided by 5x³y from the product of 2x and 3y.

= Solution,

= \frac{20 {x}^{4} {y}^{2}  }{5 {x}^{3} y}   \\

= 4xy

The product of 3x and 4y = 6xy

= 6x - 4xy

= \boxed{\sf {2xy}}

hope it helped !!!!

7 0
2 years ago
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