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tigry1 [53]
3 years ago
10

A bicycle tire makes 40 full revolutions while traveling where Scott is standing to where Steve is standing. If a tire has a dia

meter of 20 inches what is the approximate distance between where Steve is standing?
Mathematics
1 answer:
Alisiya [41]3 years ago
3 0

Answer:

2513.27 inches

Step-by-step explanation:

Given that:

Diameter = 20 inches

Number of revolutions = 40

For a complete revolution :

Distance traveled = Circumference = 2πr

2 * π * 20/2 = 62.831853 inches

Distance per revolution * number of revolutions

62.831853 * 40

= 2513.2741 inches

= 2513.27 inches

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What is the arc length of the the arc subtended in a circle with radius 6 and an angle of 7pi/8
joja [24]
First, find the fraction of the circumference represented by central angle 7pi/8:

 7pi/8
-------- 
   2pi

Then find the circumference; it is C = 2 pi r, or 2pi(6), or 12 pi units

Then the arc length is   7pi/8                  7
                                     -------- * 12 pi = -------- units, or 21/4 units, or 5 1/4 units. 
                                       2pi                   16 pi
7 0
3 years ago
The sum of the digits of a two-digit number is 13. The units digit is one more than twice the tens digit. Find the number, and..
SCORPION-xisa [38]

Answer:

1)49

2)231

Step-by-step explanation:

1)

4+9=13

4*2=8

8+1=9

2)

2+3+1=6

2+1=3

1*2=2

8 0
3 years ago
Read 2 more answers
Is the least common multiple of a pair of numbers ever less than both numbers
nadezda [96]

well It never could be less than both numbers. the LCM of 2 numbers shd either be greater than the 2 numbers .... or the answer should be equal to either one of the numbers ...

lets see some examples to prove this conclusion:

now, lets find the LCM of 2 and 6 ... so if we do it ... we get the answer 6 .. which is ..as we said equal to one of the numbers

another example : 5 and 7 ... in this ... if we do it .. .we get the LCM as 37 ... which is greater than both the numbers

another case where both the numbers are same ....

where we need to find the LCM of 7 and 7 ... the answer will be 7 itself .....

7 0
3 years ago
Nathan participated in a 5k race. He walked 1/4 of the way , jogged 3/5 of the way , and run 3/20 of the way
marishachu [46]

Answer:

4.25 km (See Below)

Step-by-step explanation:

<em>The question is:</em>

<em>How many kilometers did Nathan walk and jog?</em>

<u>Solution:</u>

He walked 1/4th of 5 kilometer race

He jogged 3/5th of 5 kilometers race

Rest, he ran.

We need total km he ran and jog. That is (1/4) + (3/5)th:

\frac{1}{4}+\frac{3}{5}=\frac{5+3(4)}{20}=\frac{17}{20}

So, we find 17/20th of 5, which is:

\frac{17}{20}*5=4.25

So, Nathan walked and jogged 4.25 km of the race.

4 0
3 years ago
The function F is defined by F(x)= 12/x + 1/2 . Use this formula to find the following values of the function.
IgorLugansk [536]

Answer:

F(3)=\frac{9}{2} \\F(-12)=\frac{-1}{2} \\F(\frac{1}{3} )=\frac{73}{2} \\F(\frac{3}{4} )=\frac{33}{2}

Step-by-step explanation:

Given: F(x)= \frac{12}{x}  + \frac{1}{2}

To find: Values of the function F(3) , F(−12) , F(\frac{1}{3}), F(\frac{3}{4})

Solution:

A function is a relation in which each and every element of the domain has a unique image in the co-domain.

To find the values of the functions F(3),F(-12),F(\frac{1}{3} ),F(\frac{3}{4} ), put x=3, -12, \frac{1}{3},\frac{3}{4} in the given function F(x)= \frac{12}{x}  + \frac{1}{2}

F(x)= \frac{12}{x}  + \frac{1}{2}\\F(3)= \frac{12}{3}  + \frac{1}{2}\\=4  + \frac{1}{2}\\=\frac{9}{2}

F(x)= \frac{12}{x}  + \frac{1}{2}\\F(-12)= \frac{12}{-12}  + \frac{1}{2}\\=-1+\frac{1}{2}\\ =\frac{-1}{2}

F(x)= \frac{12}{x}  + \frac{1}{2}\\\\F(\frac{1}{3} )= \frac{12}{\frac{1}{3}}  + \frac{1}{2}\\=36+\frac{1}{2}\\ =\frac{73}{2}

F(x)= \frac{12}{x}  + \frac{1}{2}\\\\\\F(\frac{3}{4} )= \frac{12}{\frac{3}{4}}  + \frac{1}{2}\\\\=16+\frac{1}{2}\\ \\=\frac{33}{2}

8 0
3 years ago
Read 2 more answers
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