Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 2 inches, and the larger gear has a radius of 7 inches.

Part 1: What is the angle measure, in degrees and rounded to the nearest tenth, through which the larger gear has rotated when the smaller gear has made one complete rotation?
Part 2: How many rotations will the smaller gear make during one complete rotation of the larger gear?
Show all work.

Answers

Answer 1

Answer:

Let r represent the radius of the smaller circle and R the radius of the larger circle.

Apply ratios: the radius of smaller circle to radius of larger circle, i.e.

r: R = 3 : 7.

I complete rotation = 360 degrees.

Part 1:

For one complete rotation of the smaller circle, the larger circle is rotated through: (3/7)*(360) = 154.3 degrees

Part 2:

For one complete rotation of the larger circle, the larger circle is rotated through: (7/3)*(360) = 840.0 degrees

This is equivalent to (840/360) = 2.3 rotations

Alternatively, use the ratios:

The number of rotations = R/r = 7/3 = 2.3 rotations  

BRAINLIEST PLEASE??

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

for smaller gear circumference=2π×2=4π inches

for larger gear

l=4π

θ=l/r

θ=(4 ×180)/7=720/7=102 .9°

for larger gear circumference=2π×7=14π

number of rotations=(14π)/4π=7/2=3.5 rotations or 3 1/2 rotations.


Related Questions

Stats practice problem

Answers

Answer:

ummmm

Step-by-step explanation:

both of your images are blocked

True False
Angle Phas the same measure as angle P!
Angle Q has the same measure as angle R.
Angle R has the same measure as angle R'.

Answers

Answer:

Step-by-step explanation:

Triangle PQR is in a coordinate plane. The triangle is reflected across the y–axis and

then translated 11 units left to form Triangle P'Q'R'. Determine which of the following statements must be true regarding this transformation. Select True or False for each statement.

Angle P has the same measure as angle P'. T or F

Angle Q has the same measure as angle R'. T or F

Angle R has the same measure as angle R'. T or F

How to solve -4-.2x+11=-.8x+10?

Answers

Answer:

x = 5

Step-by-step explanation:

-4-0.2x+11=7-0.2x=-0.8x+10

==>

0.6x=3

x=5

картопля містить 20 % крохмалю. скільки картоплі потрібно для одержання 12 кг крохмалю​

Answers

Answer:

Для виготовлення 1 кг крохмалю потрібно 6 кг картоплі.Скільки крохмалю одержали з 30 кг картоплі. только пожалуйста условие задачи а не ее решение

Step-by-step explanation:

Find the value of x round to the nearest tenth

Answers

Answer:

sin 76 = 13/x

x=13/sin 76

x=13.3979771816

x=13.4

Zac and Lynn are each traveling on a trip. So far, Zac has traveled 123.75 miles in 2.25 hours. Lynn leaves half an hour after Zac. So far, she has traveled 105 miles in 1.75 hours. Assume Zac and Lynn travel at constant rates.

Answers

Complete question is;

Zac and Lynn are each traveling on a trip. So far, Zac has traveled 123.75 miles in 2.25 hours. Lynn leaves half an hour after Zac. So far

she has traveled 105 miles in 1.75 hours. Assume Zac and Lynn travel at constant rates.

Let a represent the number of hours that have elapsed since Zac started traveling. Let y represent the number of miles traveled. Write a system of linear equations that represents the distance each of them has traveled since Zac left on his trip.

Assume Zac and Lynn continue to travel at the same constant rates and make no stops.

Determine the solution of the system of linear equations.

Answer:

Zac: y = 55a

Lynn: y = 60(a - ½)

6 hours after Zac started traveling, both Zac and Lynn would have covered 330 miles each.

Step-by-step explanation:

Zac has traveled 123.75 miles in 2.25 hours. Since he travels at constant speed, we can say;

zac's speed = 123.75/2.25 = 55 mi/hr

Similarly, Lynn traveled 105 miles in 1.75 hours. Thus, since she travels at a constant speed;

Lynn's speed = 105/1.75 = 60 mi/hr

Now, we are told that a represents the number of hours that have elapsed since Zac started traveling and y represents the number of miles traveled.

Thus;

a hours after Zac started travelling, his distance covered will be;

Zac: y = 55a

Now,for Lynn, since she started ½ an hour after Zac, it means a hours after Zac started, she had traveled (a - ½) hours.

Thus, Lynn's distance traveled after Zac started = 60(a - ½)

Lynn: y = 60(a - ½)

The solution will be when they have travelled equal distances a hours after Zac started. Thus;

55a = 60(a - ½)

55a = 60a - 30

60a - 55a = 30

5a = 30

a = 30/5

a = 6 hours

Putting 6 for a in y = 55a, we have;

y = 55 × 6

y = 330 miles

Part A
Which rule defines the function in the graph?

Answers

Answer:

c because yes

Step-by-step explanation:

trust me it's C

In a science experiment, Katrina needs to know the mass of a seed pod.
She measures the mass of 8 seed pods as 10.4g.
What is the mass of 1 seed pod?

Answers

Answer:

1.30g

Step-by-step explanation:

The mass of 8 seed pods is equal to 10.4g.

10.4g = 8 pods

Total mass / Total pods = Individual pod weight

10.4g / 8 pods = 1.30g per pod

Lets check our work to confirm:

1.30g x 8 pods = 10.4g

There are 60 mangoes, They are packed in 7 boxes. How many mangoes are there in each box and how many mangoes are left out?

Answers

Answer:

There are 4 mangoes left.

There are 8 mangoes in each box.

Step-by-step explanation:

60 / 7 (rounded) = 8

60 remainder 7 = 4

8 * 7 = 56

9 * 7 > 56

56 + 4 = 60

please mark me as brainliest

Dwayne's Tea Shop has caffeinated tea and decaffeinated tea. The tea
shop served 63 caffeinated teas and 27 decaffeinated teas. What
percentage of the teas served were caffeinated?Write your answer using
a percent sign (%).

Answers

70% of the tea served was caffeinated.

the median is the ____ of an ordered data set

A. end

B. the most occurrences of a number

C. middle

D. average

Answers

Answer:

C. middle

Step-by-step explanation:

The median is the MIDDLE of an ordered data set.
Have a great day!

A store owner wants to prepare 100 lb of a candy mix that she will sell for $1.36 per lb. She mixes 20 lb of jelly beans that cost 20 cents per lb with sugar candies. How much does 1 lb of sugar candies cost.

Answers

Answer:

Fraction form:33/20 money:$1.65

Step-by-step explanation:

$0.2 + $x = %1.36

20 IB + 80 IB = 100 IB

Equation: 0.2*20+x*80=1.36*100

there fore the answer is 33/20

Answer:

33/20

Step-by-step explanation:

X+3y=-2
3x+4y=-6
USE SYSTEMS BY SUBSTITUTION.

X=
Y=

Answers

Answer:

X=-2

Y=0

Step-by-step explanation:

X+y=-2 = x=-2-y

3x+4y=-6

3(-2-y)+4y=-6

-6-3y+4y=-6

y=0

x+3(0)=-2

x=-2

Answer:

[tex]\boxed {\boxed {\sf (-2,0)}}[/tex]

Step-by-step explanation:

To solve by substitution we must first isolate 1 variable in an equation.

Let's use the first equation.

[tex]x+3y= -2[/tex]

Subtract 3y from both sides to isolate the variable x.

[tex]x+3y-3y= -2 -3y[/tex]

[tex]x= -2 -3y[/tex]

Now we can substitute the expression (-2-3y) in for x in the second equation.

[tex]3x+4y= -6[/tex]

[tex]3(-2-3y)+4y= -6[/tex]

Distribute the 3. Multiply each term inside the parentheses by 3.

[tex](3*-2)+ (3*-3y)+4y=-6\\-6-9y+4y=-6[/tex]

Combine the like terms on the left side.

[tex]-6-5y= -6[/tex]

Add 6 to both sides to isolate the variable.

[tex]-6+6-5y=-6+6\\-5y=0[/tex]

Divide both sides by -5.

[tex]-5y/-5=0/-5 \\y=0[/tex]

Now we know that y is equal to 0 and can substitute it into the first equation and find x.

[tex]x+3(0)=-2[/tex]

[tex]x+0=-2 \\x= -2[/tex]

x is equal to -2 and y is equal to 0.

4. What is the y-intercept of this equation?
y=7X-6

Answers

Answer:

-6

Step-by-step explanation:

[tex]y = 7x - 6 \\ \\ equating \: it \: with \\ \\ y = mx + b \\ \\ b = - 6 \\ y - intercept = - 6[/tex]

Find g(x), where g(x) is the translation 2 units right and 9 units down of f(x)=|x|.
Write your answer in the form a|x–h|+k, where a, h, and k are integers.

Answers

Answer:

g(x) = |x - 2| - 9

Step-by-step explanation:

Translations of a function f(x):

Translation of f(x) by a units to the right is given by f(x - a).

Translation of f(x) by a units to the left is given by f(x + a).

Translation of f(x) by a units down is f(x) - a

Translation of f(x) by a units up is f(x) + a

Find g(x), where g(x) is the translation 2 units right and 9 units down of f(x)=|x|.

2 units right: f(x - 2) = |x - 2|

9 units down: f(x - 2) - 9 = |x - 2| - 9

The answer is: g(x) = |x - 2| - 9

Solve the question below

Answers

Answer:

Step-by-step explanation:

Angle DAB = angle GAM =62°

Complete the equation of the line whose slope is -2 and y-(0,8)

Answers

Answer:

Equation: y = -2x + 8

Step-by-step explanation:

REMEMBER: The slope intercept form is y - mx + b. In slope intercept form, m is the slope and b is the y-intercept.

3. Mass changes when gravitational force changes.
A. True
B. False

Answers

Answer:

B. False

Step-by-step explanation:

Mass doesn't change when gravitational force changes, but the weight does change.

Answer:

Step-by-step explanation:

True

hope that helps

mark me brill please

You buy a watch for $31.68, it includes a 5.6% sales tax. You received a discount of 40% off the original price. What is he original price?

Answers

Answer: Okay i think i got it: roughly $46.83

Step-by-step explanation:

Answer:

Its 50$ cause u gotta round up

Step-by-step explanation:

So basically just 31.68 times 5.6 as a decimal then do 60% because 100-40=60 and another step and you end up with 0.50 then jus times by 100

Jane is organizing a fundraiser to buy a ping-pong table for the community center. The table costs $500.00. Jane is asking contributors to pay for an equal share of the cost of the table. She already has five contributors lined up. What function models the cost per share, C, with respect to the number of new contributors, n? How many new contributors must Jane recruit in order for the cost of each share to be $20.00?

Answers

Answer: 20

Step-by-step explanation: 500\20=25 but she already has 5 contributors so take that off you total answer

Johnny uses a mirror placed on level ground to measure the height of a building. Johnny's eyes are 6 feet above the ground and he stands 4 feet away from the mirror. From that distance, Johnny is able to see the top of the building in the mirror as shown in the diagram below.


If the mirror is 45 feet away from the building’s base, how tall is the building
please show step by step

Answers

Answer:

Step-by-step explanation:

θ = angle of incidence = angle of reflection

You have two similar triangles.

tanθ = 6/4 = h/45

h = 45×6/4 = 67.5 ft

The required height of the building is 67.5 feet.

Johnny uses a mirror placed on level ground to measure the height of a building. Johnny's eyes are 6 feet above the ground and he stands 4 feet away from the mirror. If the mirror is 45 feet away from the building’s base, how tall the building is determined.

What is the triangle?

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Since the two triangles are similar,
Let the height of the building is x.
The ratio of height and distance from the mirror Jhonny = height and distance of mirror from the building.
6/4=x/45
x = 11.25*6
x = 67.5

Thus, the required height of the building is 67.5 feet.


Learn more about triangles here:
https://brainly.com/question/2773823

#SPJ2

I DONT WANT HOW TO DO IT JUST THE ANSWER

Answers

87.5 homie

YUH yuh yuh yuh

If fg(x) = 2x + 1, and f(x) = x + 2, find g(5) and g-'f'(1).​

Answers

Answer:

g(5) - f(1) = 8

g(5) = 11

Step-by-step explanation:

Given:

g(x) = 2x + 1

f(x) = x + 2

Find:

g(5)

g(5) - f(1)

Computation:

g(x) = 2x + 1

g(5) = 2(5) + 1

g(5) = 11

f(x) = x + 2

f(1) = 1 + 2

f(1) = 3

g(5) - f(1) =11 - 3

g(5) - f(1) = 8

Q. work out the working capital Ratio:
cash at Bank 12000
stook. 18000
Debfors. 24000
Bills payable. 7000
creditors. 17000
cost of sales. 150000
> formula : working copital current Assets - current liabilities​

Answers

Answer:

30,000

Step-by-step explanation:

The computation of the working capital is shown below:

As we know that

Working capital = current assets - current liabilities

where

Current assets = Cash at bank + stock + debtors

= 12,000 + 18,000 + 24,000

= 54,000

And, the current liabilities = bill payable + creditors

= 7,000 + 17,000

= 24,000

So, the working capital is

= 54,000 - 24,000

= 30,000

Find the value of x.
x
133°
133°
47°

Answers

[tex]\huge\underline\bold\blue{ƛƝƧƜЄƦ}[/tex]

Three angles are given to us and we all know that the sum of four sides of quadrilateral is 360⁰

so

133⁰ + 147⁰ + 47⁰ + x = 360⁰

x = 380⁰ - 367⁰

x = 13⁰

Hope it helps u

Question 2: Sarah is fencing a vegetable garden to keep rabbits out. The hardware store sells
fencing for $25.50/m. Her family has $165 to spend. What dimensions should Sarah use to build a
garden with the greatest area? Round all answers to 2 decimal places.

Answers

Answer:

circle with circumference of 6.47m

Step-by-step explanation:

1. $165/$25.50=6.47058823529m

2.  she should use a circle because they have the greatest area, the circle should have a circumference of 6.47m.

Given that angles ABC ~ DEF, solve for x and y. ​

Answers

I’m not quite sure sorry, 7x and 14y

Question 4 Multiple Choice Worth 1 points)
(05.02 LC)
Find the measure of angle x in the figure below
A - 65°
B - 70°
C - 110°
D - 125

Answers

Answer:

B because 180 - 55 +55 u get 70 due to opposite sides x us also 70

Answer:

x=180-55-55=180-110=70° is your answer

There were 5 girls to every boy that attended the Spring Semester Mixer last year. At this rate, how many attended the mixer if 150 girls attended the mixer,

Answers

Answer:

150:30

Step-by-step explanation:

It's essentially saying 5:1, 5 girls to one boy.

so with this in mind.

150:x

150/5

30

therefore

150:30

Answer:

30 boys attended the mixer. ( Wow 5 girls for a boy thats alot )

Step-by-step explanation:

1. Divide 150 girls by 5 ( 5 for every boy ) = 30 boys.

Thats it lol.

Btw can I have brainliest if I got it correct please?

cool/3d18c3ab-98a2-4989-9e70-1d62f58e3bcf/Showitem?returnView=&studentItemid=0&backPath Question 3 of 17 A room has dimensions 10'6" X 14'. What is the perimeter of the room? ​

Answers

Answer:

Perimeter = 2*Length + 2*Width

                = 2(10’6”) + 2(14)

                = 21’ + 28’

                = 49’

Step-by-step explanation:

Other Questions
Describe the composition of Granite. caroline babysat for two families the nelson and the smiths. use the information below to compare her earings. nelson a = 6.25h, where a represents the amount she earned and h represents the number of hours she babysat. smiths : $39 for 6 hours witch statement is true? A. Caroline earns $6.25 an hour babysitting for the smiths.B. Caroline earns $6.50 an hour babysitting for the nelsons. C. Caroline earns more money per hour from the smiths.D. Caroline earns more money per hour from the nelsons. Hi, can you please check my answers? Pls answer I will mark brainiest!!!Look at the dots around each symbol and the energy levels from the resources aboveBe specific with your responses for each question. Your teaching the reader via answers!Please answer the following questions:Why does Na(sodium) have only one dot?Why do none of these diagrams show more than 8 dots?What relationship do you notice between the dots in these two charts?The number of dots that hydrogen and helium have in their dot diagram is the same as the number of electrons shown for them on the Periodic Table. Why? (Hint: OCTET RULE) Zac and Lynn are each traveling on a trip. So far, Zac has traveled 123.75 miles in 2.25 hours. Lynn leaves half an hour after Zac. So far, she has traveled 105 miles in 1.75 hours. Assume Zac and Lynn travel at constant rates. Camping Out Co. manufactures down sleeping bags: a. The standard to make one sleeping bag is 4 pounds of down and takes 0.3 hours of direct labor. b. The standard cost of the down used by Camping Out is $8 per pound and the standard labor cost is $10 per hour. c. During the year, Camping Out purchased and actually used 15,000 pounds of down for $120,750. d. During the year, the company manufactured 4,000 sleeping bags. e. Payroll reported a total of 1,480 direct labor hours at a cost of $14,060.Required:a. Compute the total material variance, the material price variance, and the materials quantity variance, also indicate whether each variance is favorable or unfavorable.b. Compute the total labor variance, the labor price variance, and the labor quantity variance, also indicate whether each variance is favorable or unfavorable. CRead the sentence from "Ain't I a Woman?"Well, children, where there is so much racket there must be something out of kilter.Which best describes the diction?O formal and friendlyO informative and academicO demanding and assertiveO inviting and familiarMark this and returnSave and Exit Which type of income, disposable or discretionary, is more important to businesses that sell expensive watches, second homes, and financial services? Dwayne's Tea Shop has caffeinated tea and decaffeinated tea. The teashop served 63 caffeinated teas and 27 decaffeinated teas. Whatpercentage of the teas served were caffeinated?Write your answer usinga percent sign (%). Which of the following is something that the critical viewer should do in order to figure out whether the videos are real or not, according to The Camera Does Lie? Determine the truth based on how many people have watched the video. Research on the subject Evaluate the number of people in the video. Look at the number of pixels in a video. en el verano hace____ Which disease is caused by bacteria?A. Strep throatB. Common coldC. AIDSD. Chicken pox 20 points+brainliest!Which statements about the factors of the terms in the expression 12 x + 18 x y minus 24 y are true? Select three options.The factors common to 12x and 18xy are 1, 2, 3, 6, x, and y.The factors common to 12x and 18xy are 1, 2, 3, 6, and x.The factors common to 12x and 24y are 1, 2, 3, 4, 6, and 12.The GCF of the expression is 6xy.The GCF of the expression is 6. An architect is making a plan for a new circular playground. If the playground needs to be surrounded by a fence and the diameter of the playground is 25 meters, how much fencing needs to go up? PLZZZ HELP WILL MARK BRAINLIEST IF RIGHT! 4 pointsWhich expression is equivalent to 3-5314 ? Question 4 Multiple Choice Worth 1 points)(05.02 LC)Find the measure of angle x in the figure belowA - 65B - 70C - 110D - 125 What anime is the big 3 in the new generation anime. Part AWhich rule defines the function in the graph? Find g(x), where g(x) is the translation 2 units right and 9 units down of f(x)=|x|.Write your answer in the form a|xh|+k, where a, h, and k are integers.