The angular velocity of a fan blade is 6.2 radians per second.


Approximately how many revolutions does the fan blade make in 1.6 minutes?


Enter your answer, rounded to the nearest tenth of a revolution

Answers

Answer 1

Answer:

94.7 revolutions

Step-by-step explanation:

In the question above, we are given the following values for the fan

Angular velocity = 6.2 radians per seconds

Time = 1.6 minutes.

Step 1

We would convert the time given to seconds

1 minute = 60 seconds

1.6 minutes = ?

We cross multiply

1.6 minutes × 60 seconds

= 96 seconds

Step 2

Number of revolutions made by the fan is calculated as :

Angular velocity(rad/s)

× time(seconds)

Number of revolutions = 6.2 radians per seconds × 96 seconds

=595.2 radians

Converting from radians to revolution

1 radian = 0.159155 revolutions

595.2 radians =

Cross multiply

= 595.2 radians × 0.159155 revolutions

= 94.729056 revolutions.

Approximately to the nearest tenth = 94.7 revolutions.

Therefore, the number of revolutions the fan blade makes in 1.6 minutes is 94.7 revolutions.

Answer 2

1.6 minutes is 1.6 x 60 = 96 seconds.

Its angular velocity is 6.2 radians per second:  6.2 radians/second x 96 seconds = 595.2 radians.

One revolution of the fan is one circumference of the fan, which is 2pi radians.

Dividing 595.2 radians by 2pi radians gives us an answer of 94.7 revolutions.


Related Questions

What is the value of x, tanx=7 to the nearest hundredth?

a. 54.94 degrees
b. 56.94 degrees
c. 81.87 degrees
d. 85.94 degrees

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the answer is C. 81.87

Which graph represents -x+ 8y > - 24

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Kind of need a picture to help answer the question.

Write a linear equation from a slope and a point

Answers

Slope=4/2 point=(1,2)
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Ken baked a pan of brownies for a potluck. The number of squares he cuts the brownies into will depend on the number of people attending the potluck. s = the number of squares Ken cuts the brownies into. p = the number of people attending the potluck. Which of the variables is independent and which is dependent?

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Answer:

P is the independent variable while S is the dependent variable

Hope this Helps :)

The diagram below shows ΔPQT; its altitude, which is segment PR ; and some of its measurements.

(a) What is mTPR? Show or explain how you got your answer.


For Parts (b), (c), and (d), write the exact answer in simplified radical form.


(b) What is the length, in inches, of segment PR? Explain your answer.


(c) What is the length, in inches, of segment TR? Explain your answer.


(d) What is the length, in inches, of segment PQ? Explain your answer.

Answers

Answer:

i need some poitns plssss

1. A space figure with two parallel and congruent bases can be any of these except a
A cone
B prism
c cylinder
Dcube

Answers

Answer:

C. cylinder

Step-by-step explanation:

i hope this help

A spec figure with two parallel and congruent bases can be c

Write a formula for quadratic function if its graph has the vertex at point (0,6) and passes through the point (−1,−2).

Answers

Answer:

y = - 8x² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (0, 6), thus

y = a(x - 0)² + 6, that is

y = ax² + 6

To find a substitute (- 1, - 2) into the equation

- 2 = a(- 1)² + 6, that is

- 2 = a + 6 ( subtract 6 from both sides )

- 8 = a

y = - 8x² + 6

The formula of the quadratic function is [tex]y = -8x^2 + 6[/tex]

A quadratic function is represented as:

[tex]y = a(x - h)^2 + k[/tex]

The vertex of the quadratic function is given as:

[tex](h,k) = (0,6)[/tex]

So, we have:

[tex]y = a(x - 0)^2 + 6[/tex]

This gives:

[tex]y = ax^2 + 6[/tex]

The quadratic function passes through (-1,-2).

So, we have:

[tex]-2 = a(-1)^2 + 6[/tex]

[tex]-2 = a + 6[/tex]

Subtract 6 from both sides

[tex]a = -8[/tex]

Substitute -8 for a in [tex]y = ax^2 + 6[/tex]

[tex]y = -8x^2 + 6[/tex]

Hence, the formula of the quadratic function is [tex]y = -8x^2 + 6[/tex]

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Which has a value closest to 9?
✓99
V83
VIO
V63

Answers

Answer:

[tex]\sqrt{83\\}[/tex] has the closet value to 9 bc its 9.11

V83 because it makes the most sense

Which could be the area of a face of the rectangular prism?

A rectangular prism with a length of 3 meters, width of 4 meters, and height of 2 meters.

5 m2
6 m2
7 m2
9 m2

Answers

Answer:

[tex]6m^{2}[/tex]

Step-by-step explanation:

well we are looking for a face of the rectangular prism.

the front face of the rectangular prism is length times height

which is 3 times 2 = [tex]6^{2}[/tex]

if we did any other face, like the side which is width times height ( 8 meters) it is not one of the answers.

so the only face that can be answers is length times height.

therefore the answer is

6m^2

i rly hope this helps!! :)

Answer:

the answer is B .

Step-by-step explanation:

A circle has a radius of 5/3 units and is centered at (9.2 -7.4)

Write the equation of the Circle.

Answers

Answer:

(x - 9.2)^2 + (y + 7.4)^2 = (5/3)^2

Step-by-step explanation:

We start with (x - h)^2 + (y - k)^2 = r^2.  The center is (h, k) and the radius is r.

Then we have:

(x - 9.2)^2 + (y + 7.4)^2 = (5/3)^2

Please Help Now Running out of time! In Sal’s sock drawer, there are 2 red, 2 blue, 2 yellow, 2 black, and 2 green socks. If he randomly picks one sock from the drawer, and then another, which fractions should Sal multiply to find the probability of choosing a pair of green socks?

Answers

Answer:

Step-by-step explanation:

C

Answer:

C

Step-by-step explanation:

2/10 1/9

5
Amelia and Roger both
found the volume of the sphere
below. Determine which
student correctly determined
the volume of the sphere.
3 cm
AMELIA
113.10 cm
ROGER
14.14 cm

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Answer: the last one

Step-by-step explanation:

Determine whether each statement is true or false.

(FINALEXAM)

Answers

Answer:

1. False

2. True

Step-by-step explanation:

Number 1 False
Number 2 true

Please help it’s timed

Answers

Answer:

y=45

x=90

Step-by-step explanation:

x is a right angle, y is vertical from 45 degrees making it congruent to it.

Answer:

C: x=90 y=45

Step-by-step explanation:

The place where x is is obviously a right angle therefore, it is 90. Then here is a diagonal line cutting through the 90 degrees in half. 90/2=45.




Solve for m.

-7 + 4m + 10 = 15 -2m



Answers

Answer:

M=2

Step-by-step explanation:

m=2 Make sure to move the terms, then collect the like terms, then subtract, then divide both sides by 6

Answer:

m = 2.

Step-by-step explanation:

-7 + 4m + 10 = 15 - 2m

4m + 2m = 15 + 7 - 10

6m = 12

m = 2.

Which of the following inequalities is correct?

Answers

Answer:

a < b < c

Step-by-step explanation:

a is -4, which is less than b, at 1, and c at 7.

If this answer is correct, please make me Brainliest!

Answer:

the answer is a it cant not be b,c

1. A three-dimensional figure that has one vertex and one circular base is known as a:

Answers

Answer:

cone

Step-by-step explanation:

Find the area of a circle whose circumference is 87 m.
A. 4 m 2
B. 8 m2
C. 16 m2
D. 64 m2

Answers

Answer:

None of those are right, the answer is about 602.32 m2

Step-by-step explanation:

think: 1 cartoon = 1

Answers

Answer:

1 cartoon = 1 dance

Step-by-step explanation:

Not sure what the question asks for?

Answer:

SpongeBob

Step-by-step explanation:

Is that what you wanted?

Stephanie and alejandro
were planning thier wedding.
Stephine saved up four times.
more money than alejandro
because he lost his job at walmart. Together $15,600 How much did each one save ?
steps ?

Answers

Answer:

Stephanie saved

Step-by-step explanation:

x+4x=15600

5x=15600

divide by 5 on both sides

you get 3120

since stephanie got 4 times more, you multiply 3120*4 and get 12480

therefore, Alejandro saved 3120

: )

What is the IQR (interquartile range) for the following data? 7, 9, 13, 4, 18, 3, 9, 10, 15, 8, 2, 6, 9

Answers

Q1= 5 Q2= 9 Q3= 11.5

Q3 - Q1 = IQR

11.5 - 5 = 6.5

The IQR is 6.5

The IQR (interquartile range) is mathematically given as

IQR=9

What is the IQR (interquartile range)?

Question Parameters:

Sample data 7, 9, 13, 4, 18, 3, 9, 10, 15, 8, 2, 6, 9

Sample size13

Generally, the equation for the  IQR (interquartile range)  is mathematically given as

IQR=Q3-Q1

Therefore

IQR=37-28

IQR=9

In conclusion, the IQR (interquartile range) is

IQR=9

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(9x2+3x-5) - (3x2+4x-10)

Answers

Answer:

39

Step-by-step explanation:

I'm assuming x is supposed to be a multiplication sign.

You need to use PEMDAS for this:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

(9x2+3x-5)-(3x2+4x-10)=

(18-15)-(6-40)=

3-(-36)=

3+36=

39

Please help!!! i attached the problem.

Answers

Answer:

y>7.5

line under inequality sign.

Step-by-step explanation:

Solve for x: 3x − 2 > 5x + 10.

Answers

Answer: hopefully this is what you need

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality form:

X < -6

Interval Notation:

(-♾, -6)

Someone please help me. I’m not good at mah but I would be thankful for ur help.

Answers

the perimeter is 44 inches!!

Answer:

1. 44 inches

hope this helps :)

Which best describes the y coordinate of a point

Answers

Answer:

The vertical value in a pair of coordinates. How far up or down the point is. The Y Coordinate is always written second in an ordered pair of coordinates (x,y) such as (12,5). In this example, the value "5" is the Y Coordinate. Also called "Ordinate"

Step-by-step explanation:

Starting the first week of January, Mari puts $1.50 in her coin bank every week. How much money will she have at the end of the year?
A.
$18.00
B.
$63.00
C.
$78.00
D.
$72.00


BRAINLIEST ANYTHING!!

Answers

Answer:

C

Step-by-step explanation:

52 weeks of the year * 1.5

Answer:

The answer is C $78.00 because 52 times 1.50 equals 78 so if you couldn't the amount of weeks from january to december 31 it equals 52.

Step-by-step explanation:52 times 1.50 =78

The value of x 3y, for x = -2 and y = 3, is -24. True False

Answers

Answer:

true

Step-by-step explanation:

x^3 y when x = -2 and y = 3

(-2)^3  * 3

-8 *3

-24

This is true

What is the correct answer..

Answers

Answer:

64 feet

Step-by-step explanation:

To find the height of the kite we use sin trigonometric ratio.

Let the height of the kite from the ground be x feet.

[tex] \therefore \: \sin 40 \degree = \frac{x}{100} \\ \\ \therefore \: 0.6427876097= \frac{x}{100} \\ \\ \therefore \: 0.6427876097 \times 100= x \\ \\ \therefore \:x = 64.29 \\ \\ \therefore \:x = 64 \: feet[/tex]

of the following numbers, which has the most factors of 3?
a) 81
b) 270
c) 999
d) 3333

Answers

Answer:

81 has the most factors of 3

Step-by-step explanation:

To conclude which of the following options has the most factors of 3, take each of the number's prime factorization, which will help us solve the problem.

( 1 ) 81 is a composite number and is 9 squared. Knowing that 3 squared = 9, we can say that the prime factorization of 81 = 3 [tex]*[/tex] 3 [tex]*[/tex] 3 [tex]*[/tex] 3, which can also be denoted as 3⁴.

( 2 ) 270 is a composite number. The exponents in the prime factorization are 1, 3, and 1, and therefore it's prime factorization is - 3 [tex]*[/tex] 5 [tex]*[/tex] 3 [tex]*[/tex] 2 [tex]*[/tex] 3, composed of 3 3s.

( 3 ) If we put all of it together we have the factors 3 x 3 x 3 x 37 = 999. It can also be written in exponential form, with 3 to the power of 3 - hence having 3 factors of 3.

And finally the value 3333 has the prime factorization of 3 [tex]*[/tex] 11 [tex]*[/tex] 101, and as you can see it has 1 factor of 3. 81, having 4 factors of 3, is present with the most factors, and therefore is our solution.

Number 81 has the most number of factor 3. Option A is correct.

A number from the options to be determined that has the most number of factor 3.

What are the factors?

factors can be defined by splitting the value into multipliable values.

Here,
Factors of 81 = 3,3,3,3            Number of factor 3 = 4
Factors of 270 =2,3,3,3,5       Number of factor 3 = 3  
Factors of 999 =3,3,11             Number of factor 3 = 2
Factors of 3333 = 3,11             Number of factor 3 = 1
As per the above comparison, 81 has the most number of factor 3.

Thus, Number 81 has the most number of factors 3.

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