Can someone help me so i can do the rest like this on my own/

Mathematics

1 answer:

stepladder [879]3 years ago

5 0

-- XY is a "diameter" of the circle.

-- A diameter is any straight line inside the circle that goes
through the center and touches the curvy part twice.

-- Every diameter of the same circle has the same length.

-- The distance around every circle is (its diameter) multiplied by (pi).

-- Half of the diameter is called the "radius" of the circle.
A radius is any straight line inside the circle that goes between
the center and the curvy part.

-- The area of every circle is (its radius, squared) times (pi).

-- 'Pi' ( π ) is a number. It's a decimal that keeps going forever
and never ends, so you can never write it exactly with numbers.

-- Pi is roughly 3.14 , and if you use 3.14 whenever you need pi,
then your answers will be about 0.05% too small.

That's very close. When you turn in an answer that's only
0.05% wrong, the teacher knows that you know how to solve
the problem, and that's way more important than the answer.

For the circle in your picture, the diameter is 17in, the radius
is 8.5in, and the area must be (pi) (8.5)² square inches.
You can go ahead and work that out.

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mezya [45]

There are $\binom{52}4$ ways of drawing a 4-card hand, where

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is the so-called binomial coefficient.

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For each card value, there are 4 choices of suit, of which we only pick 1, so there are $\binom41$ ways of picking a card of any given value. We draw 4 cards from the deck, so there are $\binom41^4$ possible hands in which each card has a different value.