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2 years ago

Elijah calculated the area of a circle to be 900π units². Which of the following was the radius of the circle?

Mathematics

1 answer:

scZoUnD [109]2 years ago

7 0

Answer: A. 30

Step-by-step explanation:

The formula for the area of a circle is pi*r^2, where r is the radius of the circle.

900pi = pi*r^2

Divide both sides by pi.

900 = r^2

Square root both sides.

r = +/- 30.

Since the radius cannot be negative, the answer is 30 units.

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3 years ago

Find the probability that a randomly generated bit string of length 10 does not contain a 0 if bits are independent and if a 0 b

jeka94

Answer:

Step-by-step explanation:

From the given information; Let's assume that R should represent the set of all possible outcomes generated from a bit string of length 10 .

So; as each place is fitted with either 0 or 1

$\mathbf{|R|= 2^{10}}$

Similarly; the event E signifies the randomly generated bit string of length 10 does not contain a 0

Now;

if a 0 bit and a 1 bit are equally likely

The probability that a randomly generated bit string of length 10 does not contain a 0 if bits are independent and if a 0 bit and a 1 bit are equally likely is;

$\mathbf{P(E) = \dfrac{|E|}{|R|}}$

so ; if bits string should not contain a 0 and all other places should be occupied by 1; Then:

$\mathbf{{|E|}=1 }$ ; $\mathbf{|R|= 2^{10}}$

$\mathbf{P(E) = \dfrac{1}{2^{10}}}$

4 0

3 years ago

What’s the diameter of the circle of the circumference is 30 pi inches

ICE Princess25 [194]

30?
30pi = 2pi r
30pi / 2pi = 15
15 = r
double the radius to get the diameter
15)2 =30

6 0

3 years ago

Read 2 more answers

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olga nikolaevna [1]

Answer: √0.16

Step-by-step explanation:

√0.16 = 0.4

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3 years ago

Question 2.2. Which ordered pairs make the inequality true?

taurus [48]

<span>Question 2.2. Which ordered pairs make the inequality true?</span><span>2x + y > –4</span>The solutions are (-1, 2) and (1, -5), look at the graph in the attachment.

Question 3.3. What is the slope of the line represented by the equation?

There is no equation

Question 4.4. What is the slope of the line represented by the equation 6x - 3y = 4?

Convert to slope-intercept form:

6x - 3y = 4

Subtract 6x to both sides:

-3y = -6x + 4

Divide -3 to both sides:

y = -6/-3x + 4/-3

Simplify:

y = 2x - 4/3

Now it's in slope intercept form, y = mx + b, where 'm' is the slope. So the slope here is 2.

Question 5.5. What is the simplified form of the expression?

15y - 3(4y + 10)

Distribute -3 into the parenthesis:

15y - 12y - 30

Combine like terms:

3y - 30

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3 years ago