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USPshnik [31]
2 years ago
14

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

dius 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.
Mathematics
2 answers:
sleet_krkn [62]2 years ago
5 0

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:

Anika [276]2 years ago
3 0

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.

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If you have 24 classmates, how many ways are there for you to choose 4 team mates?
valkas [14]
You can try 4 x 6 = 24 so you can have 4 team mates of 6 groups ? is that what your asking
3 0
3 years ago
The diagram below shows an Isosceles triangle. Label the base angles and the vertex
Dmitry [639]

The base angles of an isosceles triangle are equal

The base angles are 15 degrees, while the vertex angle is 150 degrees

The base angles are given as:

Base = (6a- 3) and (a + 12)

So, we have:

\mathbf{6a -3 =a + 12}

Collect like terms

\mathbf{6a -a =3 + 12}

\mathbf{5a = 15}

Divide both sides by 5

\mathbf{a = 3}

Substitute 3 for a in Base = (6a- 3),

\mathbf{Base = 6 \times 3 - 3}

\mathbf{Base = 18 - 3}\\

\mathbf{Base = 15}

So, the base angle is 15 degrees.

The vertex angle is calculated using:

\mathbf{Vertex=180 -2 \times Base}

So, we have:

\mathbf{Vertex=180 -2 \times 15}

\mathbf{Vertex=150 }

Hence, the vertex angle is 150 degrees

Read more about isosceles triangles at:

brainly.com/question/25739654

6 0
1 year ago
Alvin is planning to be out of town for the day, so he asks a friend to dog-sit his 3 dogs. Each dog eats 0.5 pounds of food eve
german

Answer:

2 cans

Step-by-step explanation:

Calculate how many pounds he needs for one day:

3(0.5)=1.5 pounds for each day Alvin is gone ( 3 represents his dogs, .5 is each dog's food)

Convert into ounces:

1.5*16=24 ounces for one day

Question: If dog food is sold in 12 oz cans, how many will he need?

24/12=2 cans

Thus, he will need 2 cans

6 0
2 years ago
Michelle, lori, and patti buy lunch together. The total bill was $45. If michelle pays 35% of the total bill and lori pays 48% o
Vinvika [58]

Answer:

17% of the bill

Step-by-step explanation:

Well to find the answer to this question we first have to add 35 + 48 to get the total percent of the bill that Michelle and Lori paid.

35 + 48 = 83%

now that we know the percent of the bill that Lori and Michelle are paying we have to subtract that amount by 100% to get the percent of the bill that Patti is paying.

100% - 83% = 17%

So Patti is paying 17% of the bill

If we wanted to go even farther and find out what 17% of the bill was all we would have to do is multiply 45 by 17% or 45 x 0.17

45 x 0.17 = 7.65

So Patti is paying 7 dollars and 65 cents

3 0
2 years ago
Pls hurry will mark brainliest
Art [367]

Answer:

missing side = 50

Step-by-step explanation:

using Pythagoras theorem,

30² + 40² = (missing side)²

900 + 1600 = (missing side)²

(missing side)² = 2500

missing side = √2500

missing side = 50

8 0
2 years ago
Read 2 more answers
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