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Point C is the center of the circle. What is the measure of angle ACB if arc ADB measures 250 degrees?

NeX [460]

Around the outside of a circle measures 360°. If arc ADB measures 250°, then arc AB measures 360-250 which is 110°. Because point C is the center of the circle, then angle ACB is a central angle. By definition of an arc intercepted by an angle, they are the exact same measure in degrees. So if arc AB = 110, then the measure of the angle ACB also measures 110.

4 0

3 years ago

A certain spinner has equally sized slices. The probability of landing on a red slice is 4/9. What are the odds in favor of land

Novosadov [1.4K]

There are 4 red slices out of 9 total. So there are 9-4 = 5 slices that are not red. The odds in favor of landing on red is 4:5

We basically write the number of ways to get what we want (4), followed by a colon, then the second number is the number of ways to get what we don't want (anything but red; 5 ways)

So that's why the answer is 4:5

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Side Note -- If we want the odds against, we simply flip the ratio. The odds against would be 5:4 because there are 5 ways to lose and 4 ways to win. This is assuming that landing on red means you win.

4 0

4 years ago

What is the number nearest to 10000 which is exactly divisible by 3, 4, 5, 6, 7, and 8?.

MakcuM [25]

The least common multiple that is divisible by both a and b is the smallest positive integer. The number nearest to 10000 which is exactly divisible by 3, 4, 5, 6, 7, and 8 is 10,080.

The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.

Firstly to get the number we need to find the LCM of the given numbers 3, 4, 5, 6, 7, and 8, therefore, the LCM will be 1680.

Now, we try to divide 10000 by 1680, the quotient of the division will be 5 and the remainder will be 1600.

Therefore, if LCM is multiplied by 5 then the result will be 8400, while if 1680 is multiplied by 6, the result will be 10,080 which is more close to 10,000.

Hence, the number nearest to 10000 which is exactly divisible by 3, 4, 5, 6, 7, and 8 is 10,080.

Learn more about Least Common Multiple here:

brainly.com/question/20739723

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8 0

2 years ago

Suppose we want to choose 7 colors, without replacement, from 9 distinct colors

Digiron [165]

The number of ways to choose the colors is 36

<h3>How to determine the number of ways?</h3>

The given parameters are:

Colors = 9