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3 years ago

15

If the area of a circle measures 16 pi cm2, what is the circumference of the circle in terms of pi

1 answer:

Fiesta28 [93]3 years ago

7 0

Answer: 8 pi

Step-by-step explanation: So we know that area of a circle is pi times r^2 so if we reverse that formula it would be square root of 16 pi which would be 4 pi and divide by pi so the radius is 4. And we know that the formula for circumference is 2 times pi times r, so 2 times 4 times pi is 8 pi. 8 pi is the cIrcumference! :)

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What is the Z-score for Paula if she got 1400 on the SAT, the mean was 1100 and the standard deviation was 275? step by step how

Setler [38]

mu = 1100 = population mean

sigma = 275 = population standard deviation

x = 1400 = raw score

z = z score

z = (x-mu)/sigma

z = (1400-1100)/(275)

z = 300/275

z = 1.0909090909091 approximately

z = 1.09

Convention is to round to two decimal places so that you can use a Z table to look up the area under the curve (which helps determine probability).

The positive z score is due to Paula's raw score being above the mean.

7 0

2 years ago

5<br> 2. Simplify<br> .<br> 5<br> O 57<br> O 5-1<br> o<br> 5<br> O<br> 57

pantera1 [17]

Answer:

79853709 with the exponent of 94

Step-by-step explanation:

8 0

2 years ago

Mandy emptied the bags and put the candy into equal groups.How many candies were in each group?

alexira [117]

Answer:

25

Step-by-step explanation:

40+76+84 = 200.

200 ÷ 8 = 25

Answer: 25.

3 0

2 years ago

PLEASE HELP QUESTION IN PICTURE

sp2606 [1]

Answer:

b = 55

d = 55

Step-by-step explanation:

Part B:

1. We can see that m∠C (25 degrees), the angle with 100 degrees, and ∠B are adjacent angles that add up to 180 degrees.

This means that b + 25 + 100 = 180

2. (Solving equation above)

Step 1: Simplify both sides of the equation.

$b + (25+100)=180$
$b + 125 = 180$

Step 2: Subtract 125 from both sides.

$b + 125 - 125 = 180 - 125$
$b = 55$

Therefore, b = 55.

Part D:

1. The exterior angle theorem states that the exterior angle of a triangle is congruent to the sum of the two opposing interior angles.

This means that 110 = d + 55

2. (Solving)

Step 1: Subtract 55 from both sides.

$110-55 = d + 55-55$
$55 = d$

Therefore, d = 55.

5 0

1 year ago

Identify the zeros of the function f(x) = 4x2 − 8x − 1 using the Quadratic Formula. HELP ASAP!!

forsale [732]

$1+\dfrac{\sqrt{5}}{2},1-\dfrac{\sqrt{5}}{2}$

Step-by-step explanation:

The given equation is $4x^{2}-8x-1$

Let $a$ be the coefficient of $x^{2}$

Let $b$ be the coefficient of $x$

Let $c$ be the constant.

Then the roots α,β for the equation $ax^{2}+bx+c$ are $\dfrac{-b+\sqrt{b^{2}-4ac} }{2a},\dfrac{-b-\sqrt{b^{2}-4ac} }{2a}$

So,α= $\frac{-b+\sqrt{b^{2}-4ac} }{2a}=\frac{8+\sqrt{64+16} }{8}=\frac{8+4\sqrt{5}}{8}=1+\frac{\sqrt{5}}{2}$

β= $\frac{-b-\sqrt{b^{2}-4ac} }{2a}=\frac{8-\sqrt{64+16} }{8}=\frac{8-4\sqrt{5}}{8}=1-\frac{\sqrt{5}}{2}$ .

So the roots are $1+\frac{\sqrt{5}}{2},1+\frac{\sqrt{5}}{2}$

5 0

3 years ago