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Bad White [126]
3 years ago
14

A ceiling fan has 13-centimeter blades (so the radius of the circular fan is 13 centimeters). Suppose the fan turns at a rate of

58 revolutions per minute.
(a) Find the angular speed of the fan in radians per minute.

(b) Find the linear speed of the tip of a blade in centimeters per minute,

Do not round any intermediate computations, and round your answer to the nearest whole number
Mathematics
1 answer:
Furkat [3]3 years ago
8 0

Answer:

A ceiling fan has 13-inch blades (so the radius of the circular fan is 13 inches). Suppose the linear speed of the tip of a blade is 8 feet per second

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Math help pleaseee<br> I need help ASAP
hram777 [196]

Answer: Slope: 6-(-6)/2-(-4)=2

Slope:2

Write it in the standard form

Y=2x+b

Find the b

Substitute the y and x

6=2(2)+b

b=2

Here the equation=

Y =2x+2

Step-by-step explanation:

5 0
3 years ago
What are the three main types of money?
Andrew [12]

Answer:

D)commodity,representative,filat

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3 years ago
Lita jogged for 7*3/10 kilometers on Friday. She jogged 1*3/4 kilometres more on Saturday. How many kilometres did she jog on bo
Elza [17]
7*3/10 = 2.1

1*3/4 = 0.75

2.1 + 0.75 = 2.85

hope this helps :)

8 0
3 years ago
X + 3y = −4 x + 5y = −6
lesya [120]

For this case we must solve the following system of equations:

x + 3y = -4\\x + 5y = -6

We clear x of both equations:

x = -4-3y\\x = -6-5y

We match:

-4-3y = -6-5y\\-3y + 5y = -6 + 4\\2y = -2\\y = \frac {-2} {2}\\y = -1

We find the value of "x":

x = -4-3 (-1)\\x = -4 + 3\\x = -1

Thus, the solution of the system is:

(x, y): (- 1, -1)

Answer:

(x, y): (- 1, -1)

5 0
3 years ago
Three spherical balls with radius r are contained in a rectangular box. two of the balls are each touching 5 sides of the rectan
olganol [36]

Answer:

The volume of the space between the balls and the rectangular box is 4r^{3}(6 - \pi)

Step-by-step explanation:

The attachment below shows the description of the rectangular bow and the three spherical balls.

From the description,  

  • Two of the balls are each touching 5 sides of the rectangular box, say the 5 sides touched by one of the balls are sides 1,2,3,4, and 5; then the other ball will touch sides 2,3,4,5, and 6).  
  • The middle ball also touches four sides of the rectangular box, These four sides touched by the middle ball will be sides 2,3,4, and 5.

This means the balls are tightly fitted into the rectangular box.

Each of the balls has a radius r

Hence, The volume of one of the balls is given by the volume of a sphere

Volume of a sphere = \frac{4}{3} \pi r^{3} \\

The volume occupied by one of the balls is \frac{4}{3} \pi r^{3} \\

∴ The volume occupied by the three spherical balls will be

3 × \frac{4}{3} \pi r^{3} \\

= 4\pi r^{3}

The volume occupied by the three spherical balls 4\pi r^{3}

For the rectangular box,

The volume of a rectangular box = l w h

Where l\\ is the length

w is the width and

h is the height

Since the balls are tightly packed,

The width of the rectangular box will be the diameter of the balls

diameter of the balls = 2r

∴ w = 2r

The height of the rectangular box will also be the diameter of the balls

∴ h = 2r

The length of the rectangular box will be 3 times the diameter of the balls

∴l = 3 × 2r = 6r

Hence,

The volume of a rectangular box = 6r × 2r × 2r

= 24r³

The volume of the space between the balls and the rectangular box is given by

Volume of the space between the balls and the rectangular box =

volume of the rectangular box -  volume occupied by the three spherical balls

Volume of the space between the balls and the rectangular box= 24r³ - 4πr³

=  24r³ - 4πr³

= 4r³(6 - π)

5 0
3 years ago
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