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Finger [1]
3 years ago
11

Find the arc length of a central angle of 300° in a circle whose radius is 2inches

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
8 0
360 degrees is the whole circumference.
300 degrees is 300/360 of the circumference.
The circumference: pi*r*2 = 4*pi = approximately 12.566.
300/360*12.566=10.472 = answer
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The product of a number and ten is twelve more than the product of the number and five-eighths.
ra1l [238]
Let the unknown number be x.

Given,

10 * x = 12 +  \frac{5}{8}  * x

10x = 12 +  \frac{5x}{8}

10x -  \frac{5x}{8} = 12

\frac{(10x*8)-5x}{8} = 12

80x-5x =12*8

75x = 96

x = \frac{96}{75} = 1.28

Hence, the number is 1.28
3 0
3 years ago
Karen wants to estimate the mean number of siblings for each student in her school. She records the number of siblings for each
Tamiku [17]

The sample is 200 randomly selected students.

The following things should be considered:

  • Let us assume the no of siblings for each student be x.
  • Now for determining the mean no of siblings she choose 200 students.

So, here the sample should be 200 randomly selected students.

Therefore the other options should be incorrect.

Thus we can conclude that the sample is 200 randomly selected students.

Learn more about the sample here: brainly.com/question/13287171

5 0
3 years ago
20.   The sum of two consecutive even integers is 158. Find the least of the two integers. 
Mumz [18]

Answer:

78

Step-by-step explanation:

The tricky part of this is figuring out how to assign the unknowns.  We are told that we are working with two consecutive even integers.  Consecutive means "next to" or "in order" and sum means to add.  If we use 2 and 4 as examples of our 2 consecutive even integers and assign x to 2, then in order to get from 2 to 4 we have to add 2.  So the lesser of the 2 integers is x, and the next one in order will be x + 2.  (2 and 4 are just used as examples; they mean nothing to the solving of this particular problem.  You could pick any 2 even consecutive integers and find the same rule applies.  All we are doing here with the example numbers is finding a rule for our integers.)  Now we have the 2 expressions for the integers, we will add them together and set the sum equal to 158:

x + (x + 2) = 158

The parenthesis are unnecessary since we are adding, so when we combine like terms we get

2x + 2 = 158 and

2x = 156 and

x = 78

That means that the lesser of the 2 integers in 78, and the next one in order would be 80, and 78 + 80 = 158

6 0
3 years ago
Read 2 more answers
Solve the equation for the indicated variable S=2πrh+2πr²<br> Solve for h
valina [46]

Answer:

Good luck :)

Step-by-step explanation:

S=2πrh+2πr ²

subtract 2πr ² from each side

S -2πr ² = 2πrh

divide by 2πr from each side

(S -2πr ² )/ 2πr  = h

4 0
3 years ago
How to write an equation in slope intercept form when given parametric form?
artcher [175]
Hello here is a solution : 

8 0
3 years ago
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