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FinnZ [79.3K]
3 years ago
9

If the area of a circle measures 9π cm2, what is the circumference of the circle in terms of π?

Mathematics
1 answer:
Semenov [28]3 years ago
7 0

Answer: 6π

Step-by-step explanation:

Area of a circle = πr².

To find the circumference, we have to find the radius first

Since the area of the circle in question is 9πcm²

9π = πr²

r² = 9π/π

r² = 9

r = +/-√9

= +/- 3.

To find the circumference now, we substitute for r in the formula above

Circumference = 2πr

= 2 x π x 3

= 6π.

Don't forget the π there must not be define

So the answer = 6π

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Answer:

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Step-by-step explanation:

Dilation does not change any angles, so the triangles are similar and the trig functions of corresponding angles will be identical.

The slope of CB is -1/3 and the slope of BA is 3, so they multiply together to give -1. That means the segments are at right angles and the triangle is a right triangle.

Both the premise and the conclusion of each student is correct.

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4 years ago
Let m = 6x +5.<br> Which equation is equivalent to (6x + 5)^2 – 10 = -18x – 15 in terms of m?
aev [14]

Answer: m² + 3m - 10 = 0

Step-by-step explanation:

From the expression, considering

6x + 5 = m

The original expression

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-18 - 15 = -3( 6x - 15 )

Since m = 6x + 5 , we now substitute for m in that expression

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Now re arrange the equation in the form,

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So the equivalent equation will be

m² + 3m - 10 = 0

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4 years ago
A roulette wheel has 38 slots, of which 18 are black, 18 are red,and 2 are green. When the wheel is spun, the ball is equally li
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Answer:

Step-by-step explanation:

The question says,

A roulette wheel has 38 slots, of which 18 are black, 18 are red,and 2 are green. When the wheel is spun, the ball is equally likely to come to rest in any of the slots. One of the simplest wagers chooses red or black. A bet of $1 on red returns $2 if the ball lands in a red slot. Otherwise, the player loses his dollar. When gamblers bet on red or black, the two green slots belong to the house. Because the probability of winning $2 is 18/38, the mean payoff from a $1 bet is twice 18/38, or 94.7 cents. Explain what the law of large numbers tells us about what will happen if a gambler makes very many betson red.

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