If Damon goes from his office on the 10th floor to a meeting

You randomly survey men and women about whether they plan to watch a football game on Sunday afternoon. A total of 40 men plan t

Alecsey [184]

Answer: 101

Step-by-step explanation:

45 women total

17 women will not watch the game

So 33 people did not want to watch the game and 17 are women

33-17 = 16 men who won’t watch the game

So 40 men who will and 16 men who won’t equals 56 men and 45 women

56+45= 101

5 0

2 years ago

The length of the diagonal of a wooden cube is 24 cm. The cube is cut into the cylinder of the

jek_recluse [69]

The biggest possible volume of the cylinder will be $2089.497\hspace{1mm}\text{cm}^3$ .

<h3>What will be the diameter and height of the cylinder obtained from a cube and what are the formulas for the diagonal of a cube and the volume of a cylinder?</h3>

If a cylinder with the biggest possible volume is cut inside the cube, the height of the cylinder and the diameter of the cylinder will be equal to the side length of the cube.
For example, consider the following figure in which the cylinder is cut inside of the cube and since the side length of the cube is $x$ , the diameter and the height of the cylinder are also $x$
If the side length of a cube is $x$ unit, then its diagonal will be $x\sqrt{3}$ unit.
The formula for the volume of a cylinder is $V=\pi r^2h$ , where $r$ is the radius and $h$ is the height of the cylinder. If $d$ is the diameter, then $r=\frac{d}{2}$ .

Now, given that the diagonal of the cube is $24$ cm. So, if the side length of the cube is $x$ cm, then we must have

$x\sqrt{3}=24\\\Longrightarrow x=\frac{24}{\sqrt{3}}\\\Longrightarrow x=8\sqrt{3}$

Thus, the side length of the cube is $8\sqrt{3}$ cm.

So, the height of the cylinder with maximum volume will be $h=8\sqrt{3}$ cm and the diameter will be $d=8\sqrt{3}$ cm i.e. the radius will be $r=\frac{d}{2}=\frac{8\sqrt{3}}{2}=4\sqrt{3}$ cm.

So, using the above formula for the volume of a cylinder, we get

$V=\pi r^{2}h=\pi\times (4\sqrt{3})^2\times 8\sqrt{3}=2089.497\hspace{1mm}\text{cm}^3$ .

Therefore, the biggest possible volume of the cylinder will be $2089.497\hspace{1mm}\text{cm}^3$ .

To know more about volume, refer: brainly.com/question/1972490

#SPJ9

4 0

1 year ago

Read 2 more answers

How do u do this problem

atroni [7]

Alexis and 3 friends buy:
-Pretzel $4.
-Sauce $1
-Drink $2

First we would multiply all the food prices by 4, since there is 4 people in total.
4 x 4 = $16
1 x 4 = $4
2 x 4 = $8

Now we're adding all the prices together.
16 + 4 + 8 = $28

At this point, we're going to make the expression, using all the steps that we did.
( 4 x 4 ) + ( 1 x 4 ) + ( 2 x 4 )

We used parenthesis to show that those expressions need to be done first before anything else.

This is how we make an expression and we find the total answer.

The expression would be: ( 4 x 4 ) + ( 1 x 4 ) + ( 2 x 4 )
The total cost would be: $28

Hope this helps!~

5 0

3 years ago

6. Challenge Problem: One owl hoots every 3 hours, a second owl hoots every 8 hours, and

ANTONII [103]

Answer:

3 times

Step-by-step explanation:

The lowest common multiple of 3, 8, and 12 is 24.

Therefore they all hoot together at the 24th hour, 48th(24×2) hour, 72nd(24×3)hour. making 3 times before the 80th hour

7 0

2 years ago

Given any positive real number, there is a positive real number that is smaller. (a) Given any positive real number r, there is

harina [27]

Answer:

Step-by-step explanation:

here is the attached answer.

Download docx

7 0

2 years ago