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motikmotik
3 years ago
10

The difference between interior angle in centesimal measurement and sexagesimal measurement is 15° of a regular polygon. Find th

e number of sides of the polygon.​
Mathematics
1 answer:
DaniilM [7]3 years ago
3 0

Answer:

8

Step-by-step explanation:

x = centesimal angle (100 degrees in a right angle)

y = sexagesimal angle (90 degrees in a right angle)

x - y = 15

x×90/100 = y

x×9/10 = y

x - x×9/10 = 15

10x/10 - 9x/10 = 15

x/10 = 15

x = 150

y = 150×9/10 = 15×9 = 135

using centesimal system :

the sum of all external angles in a polygon is 400 degrees (a full circle).

one external angle is the complement of one internal angle to 200 degrees = 200-150=50 degrees.

to find the number of sides of the polygon we need to find the number of angles or corners. and that is how many external angles fit into the full circle.

n = 400/50 = 8

the polygon has 8 sides

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B) 16

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12/3 = x/4

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2 years ago
Which of the following is a continuous random variable?
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<h3>Answer: B) The time to complete a specific task.</h3>

For any two different time values, it is possible to find the midpoint or average of them. For instance, if it takes 10 minutes to do the task on Monday, and then 11 minutes to do the task on Tuesday, then it takes (10+11)/2 = 21/2 = 11.5 minutes to do the task on average. Because we are able to find a midpoint like this, and a decimal midpoint makes sense, this means time is a continuous variable.

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3 years ago
(3 − 13x − 7x2) − (5x2 + 12x − 10)
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Write an algebraic expression for the given quantity. Let x represent the unknown value. One-eight of the sum of a number and th
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<u>Answer: </u>

Required expression for one-eight of the sum of a number and three is \frac{x}{8} + 3

<u>Solution: </u>

Given that unknown value is represented by variable x.

Need to create algebraic expression for One-eight of the sum of a number and three.

Let’s first find one eight of the number that is 1/8th of x = \frac{x}8}

Now on adding three we get  

\frac{x}{8} + 3

Hence required expression for one-eight of the sum of a number and three is \frac{x}{8} + 3

7 0
3 years ago
The circle passes through the point (−2, 3) with a center of (-4,6). What is its radius?
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Step-by-step explanation:

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<u>(x - h)² + (y - k)² = r²</u>

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