The restaurant at the top of a very tall building in Seattle rotates 1.02 revolutions every hour. Chelsea sits 21.9 m from the center of the restaurant near a window.
1. Through how many radians does Karen turn in 101 minutes?
2. How far does Karen move in 101 minutes?

Answers

Answer 1

Answer:

1. 10.8 radians

2. 236.3 meters

Step-by-step explanation:

The restaurant at the top of a very tall building in Seattle rotates 1.02 revolutions every hour. Chelsea sits 21.9 m from the center of the restaurant near a window.

1. Through how many radians does Karen turn in 101 minutes?

1 revolution = 360°

Hence since Seattle rotates 1.02 revolutions every hour

Step 1

We convert to degrees per minute

= (360 × 1.02 revolutions/hour)/60 minutes

= 6.12 degrees per minute

Step 2

Convert to radians

Number of minutes = 101 minutes

Hence:

(6.12 degrees per minute × 101 ) × π/180

= 10.788229172 radians

Approximately = 10.8radians

2. How far does Karen move in 101 minutes?

We are to calculate the distance in question 2.

We know that: Chelsea sits 21.9 m from the center of the restaurant near a window.

Therefore,

2 × π × 2.19m = 137.60175823

[6.12 degrees per minute × 101 minutes × 137.60175823]/360

= 236.26221888 meters

Approximately = 236.3 meters


Related Questions


Wrote an expression equivalent to the one below using the identity property 4x1

Answers

Answer:

1x4

Step-by-step explanation:

identity property is any number multiplied by itself is the same number

A bicycle wheel has a diameter of 62cm. The wheel makes 80 complete
revolutions.
How far has the bicycle travelled?
Give your answer in metres

Answers

Answer:

The bicycle traveled 77.9 m

Step-by-step explanation:

Circumference of a Circle

Given a circle of radius r, the circumference or perimeter is calculated as follows:

[tex]C =2\pi r[/tex]

The radius of the bicycle wheel has a radius of r=62 cm. Converting to meters r=62/100=0.62 m.

Calculate the circumference:

[tex]C =2\pi \ 0.62[/tex]

[tex]C=3.8956\ m[/tex]

Given the wheel makes 80 complete revolutions, the total distance covered by the bicycle is:

[tex]D=20*3.8956\ m[/tex]

D = 77.9 m

The bicycle traveled 77.9 m

Please solve this problem

Deanna is having a party she estimates for that she will need 3 slices of pizza for each guest and 8 extra slices for unexpected guest.

Write an equation that relates the total slices of pizza, T, to the number of guest, g.

Thanks

Answers

Answer:

3g + 8 = T

Step-by-step explanation:

3g + 8 = T because since Deanna estimates 3 slices for each guest, you would times the # of guests by 3, which is 3g. Then you would add 8 because Deanna will need extra 8 slices for the unexpected guests. This equation would tell you how many slices Deanna needs in total.

Hope this helps :D

Find the area of the Composite Shape.

PLEASE HELP! ​

Answers

Answer:

[tex]\large\boxed{41.14 inches^2(2 d.p)}[/tex]

[tex]\large\boxed{41.1inches^2 (1 d.p)}[/tex]

Step-by-step explanation:

Important Information:

Area of a circle= [tex]\pi r^2[/tex]

Area of a triangle= [tex]\frac{base*height}{2}[/tex]

Diameter of a cirlce= [tex]2*radius[/tex]

Method:

The first step is to divide the shape into smaller shapes. In this case, we have a right -angled triangle and a semi-circle.

The next step is to work out the area of the triangle. Since we know the radius of the semi-circle is 3 inches, to work out the diameter we would simply multiply the radius of 3 by 2, this gives us 6 inches. This is because the radius is half of the diameter.

Now that we know the diameter of the semi-cirlce, we can begin to work out the area of the triangle. We can do this by first multiplying the base of 6 inches by the height of 9 inches, this gives us 54 inches squared. This however gives us the area of 2 of those triangles. To work out the area of that triangle, we would need to divide the value of 54 by 2, this gives us 27 inches squared.

The next step is to work out the area of the semi-circle. We can do this by multiplying pi by the radius of 3, squared, this gives us 28.27 inches squared (2 d.p). However, this is for a full circle and we need to work out the area of the semi-circle. We can do this by dividing the area of the circle, which is 28.27, by 2, this gives us 14.14 inches squared (2 d.p). This is because a semi-cirlce is half of a circle.

The final step is to add the Areas of the two shapes together. You can do this by adding the area of the triangle, which is 27 inches squared, to the area of the semi circle, which is 14.14 inches squared (2 d.p), this gives us 41.14 inches squared (2 d.p).

Step by Step:

1) Multiply 3 by 2.

[tex]3*2=6[/tex]

2) Multiply 6 by 9.

[tex]6*9=54 inches^2[/tex]

3) Divide 54 by 2.

[tex]54/2=27inches^2[/tex]

4) Multiply pi by 3 squared.

[tex]\pi*3^2=28.27 inches^2 (2 d.p)[/tex]

5) Divide 28.27 by 2.

[tex]28.27/2=14.14inches^2 (2 d.p)[/tex]

6) Add 27 to 14.14.

[tex]27+14.14=41.14inches^2 (2 d.p)[/tex]

At the kennel, there are 6 dogs for every 5 cats. The ratio of cats to dogs is ______ to ______. Enter your answer in this format: "1,2" brainliest if answer

Answers

Answer:

1.0 ez clap

Step-by-step explanation:

The answer is for every cat to dogs is 5 to 6
Or 5:6
If you’re looking for a much simpler answer or scale factor it is 1.2

plzzzzzzzzzzzz help meeeeeeeee
#7thgrademath

Answers

Answer:

all of them are 180 :)

Step-by-step explanation:

Helpppppppppppppppp pleaseeeeee

Answers

290.4 I'm guessing cuz bbn it closest to what I got

EASY WORK!!! Please look at the picture and yes it’s easy for other people but not for me .

Answers

Answer:

#8 --->      1/4  2/5  1/2  3/5  

#9 --->      6 3/8    6 1/2   6 3/4   6 5/6

#10 --->    1.75 feet is the longest

the other lengths are 1.58 ft. and 1.67 ft.

Step-by-step explanation:

good luck!

it's easy if you turn them into decimals.

to do that, you just divide the numerator (top number) by the denominator (bottom number).

e.i.   1/4= .25  (25%)

       1/2= .5   (50%)

       3/5= .6    (60%)

Answer:

8. 1/4, 2/5, 1/2, 3/5

9. 6 3/8, 6 1/2, 6 3/4, 6 5/6

10. the length of the longest bar is 1.75 feet

Step-by-step explanation:

(just convert all the fractions to decimal, it will be easier for you to do!)

8.

3/5 = 0.6

1/4 = 0.25

1/2 = 0.5

2/5 = 0.4

9.

6 3/4 = 6.75

6 1/2 = 6.5

6 5/6 = 6.83

6 3/8 = 6.375

10.

1 7/12 = 1.583

1 2/3 = 1.6 or 1.7

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!! due in 5 min will mark brainliest if correct

Answers

Answer:

it is the mean mode and range

Step-by-step explanation:

it is a pair of numbers

PLZ HALP!!!!! the length of a rectange is 1 7/9 inches, and its width is 3/4 of its length. find the area of this rectangle.

Answers

9514 1404 393

Answer:

  2 10/27 square inches

Step-by-step explanation:

The length is 1 7/9 = 16/9 inches. The width is 3/4 of that, so is ...

  (3/4)(16/9) = 4/3 inches

The area is the product of length and width, so is ...

  A = (16/9 in)(4/3 in) = 64/27 in²

The area of the rectangle is 2 10/27 square inches.

what is m∠1 if m∠7 = 60°?

Answers

Step-by-step explanation:

95vxgr Tu fjvgzgvkvgshvysrvv

Helppppppppppppppppppp

Answers

Answer:

Interior angles sum to 180 So 92+ 57+ x= 180 So x= 31
Number one is 35 number two is 125 your welcome

It takes 77 pounds of seed to completely plant a 10-acre field. How many pounds of seed are needed per acre?

Answers

Answer:

7

Step-by-step explanation:

How many bows can you make from 3 2/3 meters of ribbon if one bow takes 1/4 meter of ribbon?

Answers

Answer:

14 bows can be made from [tex]3\frac{2}{3}[/tex] meters of ribbon.

Step-by-step explanation:

Given that:

Length of ribbon available to make bows = [tex]3\frac{2}{3}[/tex] meters = [tex]\frac{11}{3}[/tex] meters

Ribbon used to make 1 bow = 1/4 meter

Let,

x be the number of bows made.

[tex]\frac{1}{4}x=\frac{11}{3}[/tex]

Multiplying both sides by 4

[tex]4*\frac{1}{4}x=\frac{11}{3}*4[/tex]

x = [tex]\frac{44}{3}[/tex]

x = 14.66

As the number of bows cannot be in decimal.

Hence,

14 bows can be made from [tex]3\frac{2}{3}[/tex] meters of ribbon.

Where did you get the 165?

Answers

Answer:

There is not enough information to tell the answer to this problem.

Step-by-step explanation:

sorry

Answer:

Sorry but I cant solve this bc there is not enough info

Step-by-step explanation: :/

2. Karen has 445 stickers in her collection. There are 221 animal stickers and 174 cartoon stickers. She also has some flower stickers. How many flower stickers does she have?​

Answers

Answer:

c

Step-by-step explanation:

FIND THE MEASURE OF ANGLE F PLS HELP ASAP!

Answers

Answer:

We know that the sum of the the interior angles of a quadrilateral is 360°.

In the figure, angle H = angle F

angle H+ angle F+ angle E+ angle G =360°

[tex]x + x + 87 + 31 = 360 \\ 2x + 118 = 360 \\ 2x = 242 \\ x = \frac{242}{2} \\ \boxed{x = 121}[/tex]

Therefore, Angle F = 121°.

Please help! I’m trying to help my little sister. And I’m not sure what I’m looking at

Answers

Answer:

The answer is 104 because as you can see the angle 126° is bigger than a° so the answer should be 104 :D

Addition or division

Answers

Divide
3/8 / 2
3/8 / 2/1
3/8*1/2
3*1/8*2
=3/16

Evaluate w divided by z if w= 6/7 and z= 3

Answers

Answer:

[tex]\dfrac{w}{z}=\dfrac{2}{7}[/tex]

Step-by-step explanation:

Given that,

[tex]w=\dfrac{6}{7}[/tex]

z = 3

We need to find [tex]\dfrac{w}{z}[/tex].

Put w = 6/7 and z = 3 in the w/z

[tex]\dfrac{w}{z}=\dfrac{\dfrac{6}{7}}{3}\\\\=\dfrac{6}{7}\cdot\dfrac{1}{3}\\\\=\dfrac{2}{7}[/tex]

So, [tex]\dfrac{w}{z}=\dfrac{2}{7}[/tex]. Hence, the correct answer is 2/7.

what represents the quantitative forecast

Answers

Answer:

Quantitative forecasting relies on data that can be measured and manipulated. The data is usually from the past. This type of analysis is best for short-term forecasting as making assumptions about the future based on past performance is much more likely to be accurate in the near future.

Step-by-step explanation:

Need your help, if you could help thanks! <3

Answers

Answer: 48 scoops

Step-by-step explanation: It’ll take 4 scoops per liter.

So, for 12 liters use the equation 4 x 12 = 48

Answer: B. 48

Step-by-step explanation: 4 scoops of 1/4 of  a liter is equivalent to 1 full liter. Since we need 12 liters, we multiply 12*4 to give us the amount of scoops needed.

Olivia has a shoe box in the shape of a rectangular prism. She decorates 4 faces of the box, leaving the top and the bottom without decorations. The unshaded parts of the model and the diagram below the parts that she decorates. What is the total area that Olivia decorates?

Answers

Answer:

440

Step-by-step explanation:

Taking the test!

Good luck, buddy!

Answer:

B

Step-by-step explanation: 400 or 4ft x 10ft

9x5=
(__×__) + (__×__)=
__+__
=

Answers

Answer:

9×5=(5×5)+(4×5)

Step-by-step explanation:

9×5=(5×5)+(4×5)

25+25

45Answer.

Answer:

Step-by-step explanation:

(3x3)+(2.5x2)=(39+6)

Identify the property that justifies the following statement
1. Distributive Property of Congruence

2. Symmetric Property of Congruence

3. Reflexive Property of Congruence

4. Transitive Property of Congruence

Answers

Transitive property of congruence

Answer:

Transitive property of congruence

Step-by-step explanation:

Please quickly answers thus

Answers

Answer:

i believe it's c. im not 100% sure though!

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337

s m a r t p e o p l e o n l y
please help me!

Answers

the answer is 11:37 am

Answer:

answer is 11: 37 am

I am sure ;-))

Calculate the value of the expression 18/-3
Select one:
A. 6
B. -6
C. -4
D. 0.167
E. -0.167

Answers

Answer:

-6

Step-by-step explanation:

Any number that is divided by a negative number is a negative number as an answer which is -6.

The answer is B. -6

Which product shows the decimal placed correctly?

1.4 x 1.5

A) 210
B) 21
C) 2.1
D) 0.21

Answers

Answer:

the answer is C __________________________________

C)2.1 I at he correct answer

Solve number 8 (geometry)

Answers

Answer:

x = 50

Step-by-step explanation:

the word bisects means that it cuts in half (this is how I understand it, not the official definition :D)

so that means

[tex]\angle XAB =\angle BAY\\\\2x=100\\\\x=50[/tex]

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