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Anna11 [10]
3 years ago
7

If a wheel has a radius of 3 in how far will it travel in 30 revolutions?

Mathematics
1 answer:
Nana76 [90]3 years ago
5 0
ANSWER:

180π units

The distance the wheel will travel in 30 revolutions is 180π units.

STEP-BY-STEP EXPLANATION:

The shape of a wheel is circular.

To find the distance the wheel will travel for 30 revolutions, we must first find the distance it will travel for 1 revolution.

1 revolution of the wheel would be equivalent to the circumference of the wheel as it is a circle.

Therefore, we will require the formula for the circumference of a circle in order to solve this question.

The formula for the circumference of a circle is displayed below:

Let C = circumference of circle

C = 2πr OR C = πd

Where r = radius of circle

Where d = diameter of circle

Using this, we will substitute the given value from the problem into the formula to obtain the distance the wheel will travel for 1 revolution.

Let d = distance the wheel will travel for 1 revolution

r = 3 units

d = 2πr

THEREFORE:

d = 2π( 3 )

d = 6π units

In order to obtain the distance the wheel will travel for 30 revolutions, we simply have to multiply the distance the wheel will travel for 1 revolution ( as given above ) by 30.

Let x = distance the wheel will travel for 30 revolutions

x = d × 30

x = 6π × 30

x = 180π units
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Fantom [35]
The correct option is B): "<span>Let x = 1st integer. Let x + 2 = 2nd integer.</span><span>"
Given that "The sum of two consecutive odd integers is 28."
 
Now the difference between two odd numbers is 2. So this means that one odd number has to be greater than the other by 2.

Let the smaller number be 'X' therefore the bigger number will be 'x+2' thus x + (x+2) = 28
 
therefore, x + x + 2 = 28 now we subtract "2" from both the sides
therefore, 2x = 26 now dividing throughout by 2 we get:

x = 13 therefore, x + 2 = 13+2
                                    = 15
 
therefore, the numbers are 13 AND 15</span>
4 0
3 years ago
The bottom of Ignacio's desktop is 74.5cm from the floor. Ignacio's sits in his adjustable chair, and the tops of his legs are 4
dsp73

Answer:

Ignacio can make 5 clockwise rotations.

Step-by-step explanation:

Given that the Ignacio's legs are already at a height of 49.3cm and each rotation of the chair knob raises his legs another 4.8cm, we can set up an inequality to determine the number of rotations Ignacio could make without his legs touching the desk, which is at a height of 74.5cm:

4.8r + 49.3 < 74.5  where 'r' is equal to the number of rotations

The sum of the Ignacio's original leg height plus the amount of height increased from the rotations of the know must be less than 74.5 in order for his legs not to touch.  Now, solve for 'r':

Subtract 49.3 from both sides:  4.8r + 49.3 - 49.3 < 74.5 - 49.3 or 4.8r < 25.2

Divide 4.8 from both sides:  4.8r/4.8 < 25.2/4.8 or  r < 5.25

Since the number of rotations must be less than 5.25, he can make 5 complete rotations.  

6 0
3 years ago
What's 6 1/3 + 5 1/2 + 4 1/4=​
Art [367]

Answer:

16  1/12

Step-by-step explanation:

The LCD of 6 1/3 + 5 1/2 + 4 1/4 is 12; 12 is evenly divisible by 3, 2 and 4.

We can rewrite this expression as:

6 + 5 + 4 + 1/3 + 1/2 + 1/4, or

    15        +4/12 + 6/12 + 3/12, or

    15         + 13/12, or

     16  1/12

4 0
3 years ago
My question has been deleted I made a mistake
zysi [14]
Retype your question that way we can help answer
7 0
3 years ago
Read 2 more answers
I NEED HELP ASAP!!!!
bulgar [2K]

Answer:

12

Step-by-step explanation:

hope i was helpful

8 0
2 years ago
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