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2 years ago

A circle has a circumference of 6. It has an arc of length

Mathematics

1 answer:

Minchanka [31]2 years ago

4 0

Answer:

Ф = CO/(6 units)

Step-by-step explanation:

The formula for arc length is s = rФ, where Ф is the central angle. This can be solved for Ф, the central angle:

arc length

Ф = ------------------

radius

If the given arc length is represented by CO, then the central angle is

Ф = CO/(6 units)

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Two containers hold several balls. Once a second, one of the balls is chosen at random and switched to the other container. Afte

natka813 [3]

Answer:

(a) 8 balls

(b) 4 balls

Step-by-step explanation:

Let

$N \to$ Number of balls

For a box, the probability that there are N balls in it is:

$Pr = 0.5^N$

For 2 boxes, it is:

$Pr = 2 * 0.5^N$

From the question, we have:

$\frac{80}{10000} \to$ Favorable outcome

To solve for N, we have:

$2 * 0.5^N = \frac{80}{10000}$

$2 * 0.5^N = 0.008$

Divide both sides by 2

$0.5^N = 0.004$

Take log of both sides

$\log(0.5^N) = \log(0.004)$

Apply law of logarithm

$N\log(0.5) = \log(0.004)$

Make N the subject

$N = \frac{\log(0.004)}{\log(0.5)}$

$N =7.966$

Approximate

$N = 8$

Solving (b): Balls in one of the two boxes.

Here, we assume that each ball will have almost the same number of balls at a given instance;

Hence, we have:

$Balls \approx \frac{N}{2}$

$Balls \approx \frac{8}{2}$

$Balls \approx 4$

4 balls in each box

6 0

2 years ago

What is the value of X in this figure? Answers: 6 6√3 12√2 12√3

Lady bird [3.3K]

Answer:

$12\sqrt{2}$

Step-by-step explanation:

$\sqrt{12^2+12^2}$

$12^2+12^2=12^2\cdot \:2$

$\sqrt{12^2\cdot \:2}$

$\sqrt{2}\sqrt{12^2}$

$12\sqrt{2}$

4 0

3 years ago

Dare to solve it so easy ☺️

qaws [65]

Answer: 1.23×10¹⁶

Step-by-step explanation:

For this problem, we want to use order of operations to solve.

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

Let's first solve the parenthesis.

$(9*\frac{999999999}{9+9+9+9+9+9+9+9+9} )^2$ [add denominator]

$(9*\frac{999999999}{81} )^2$ [cross multiply]

$(\frac{999999999}{9} )^2$ [divide]

$(111111111)^2$ [exponent]

1.23×10¹⁶

The ending result is way too large. Therefore, we use scientific notation and get 1.23×10¹⁶.

7 0

2 years ago

Please help ill mark you brainliest!

Galina-37 [17]

Answer:1/27

Explanation:

7 0

2 years ago

Subtracting the second equation from the first -2x + 7y = 10 3x + 7y = 2

ankoles [38]

The answer to this problem is -5x=8

6 0

2 years ago

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