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Alchen [17]
4 years ago
9

When a class took a math test, 15% of the class failed, 25% made some mistakes (but didn???t fail), and 24 students got perfect

scores. How many students were in the class?
Mathematics
1 answer:
elena-14-01-66 [18.8K]4 years ago
8 0
Okay so we have to figure out what percentage passed first let’s add all the percentages

25%+15%= 40%

Now subtract that from 100%

100%-40%= 60%

So 60% of the class passed

Now let’s use x to represent the total number of people on the class

x•0.6= 24

Now solve for x

x= 40

There are 40 people in the class we figure this out my converting 60% to 0.6 and multiplying it by 40 and getting 24 which is correct
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<h3>Answers:</h3>
  • Central angle = 18 degrees
  • Arc length = 7.85 feet approximately
  • Area of sector = 98.17 square feet approximately

All of these answers apply to just between two adjacent or neighboring cars. For the last two answers, I used the calculator's stored value of pi instead of something like pi = 3.14

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Explanation:

A full circle is 360 degrees. Divide this into 20 equal pieces to get 360/20 = 18. Each little pie slice is 18 degrees. This is the central angle between any two adjacent or neighboring cars.

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The circumference of the ferris wheel is 2*pi*r = 2*pi*25 = 50pi  feet exactly. This is the total distance around the circle. We only want a small portion of that. Namely, we want the curved distance from one car to its neighbor. Go for the shortest distance possible.

The formula we'll use is

L = (x/360)*2*pi*r

note how 2*pi*r is the circumference of the circle, so we're taking a fractional portion (x/360) of this full circle perimeter to get the arc length L. The value of x is the central angle.

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L = (x/360)*2*pi*r

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L = 7.85 feet approximately

I used my calculators stored version of pi, as opposed to something like pi = 3.14

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The last part of this problem is finding the area of the sector between two neighboring cars. The full circle has area of pi*r^2 = pi*25^2 = 625pi square feet exactly.

We'll take a fraction of this, specifically 1/20 th of the area, to get the pie slice area we want

area of sector = (1/20)*(area of circle)

area of sector = (1/20)*625pi

area of sector = 31.25pi

area of sector = 98.174770424681 approximately

area of sector = 98.17 square feet approximately

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