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3 years ago

If the area of a circle is 16pi what is the circumference of the circle, circle b, if its radius is 1/2 that of the circle a

1 answer:

Natasha2012 [34]3 years ago

5 0

First find the radius of circle A. You know that the equation is r^2*pi, so just divide both by pi.
r^2*pi=16pi
/pi /pi
r^2=16
R is 4. That means that circle B is 2, since its radius is half that of circle A.
C=pi2r
C=pi2(2)
C=pi4
C=4pi
The answer is 4pi.

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If a, b, and c are rational numbers and ac>bc always true?

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3 years ago

Which inequality represents all values of x for which the quotient below is

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2 years ago

Find 3 rational numbers between 1/3 and 1/2

xxTIMURxx [149]

Three rational numbers between 1/3 and 1/2 making the denominator same: 1/3=8/24(equivalent fraction) 1/2=12/24(also equivalent fraction). Three rational numbers between 8/24 and 12/24 are: 9/24,10/24,11/24. Hope this helps!

5 0

3 years ago

An astronaut on the moon throws a baseball upward. The astronaut is 6 ft 6 in tall, and the initial velocity of the ball is 40 f

weqwewe [10]

Answer:

t = 0.293 s and 14.52 s

Step-by-step explanation:

The heights of the ball in feet is given by the equation as follows :

$S = -2.7t^2+40t+6.5$

Where t is the number of seconds after the ball was thrown.

We need to find is the ball 18 ft above the moon's surface.

Put S = 18 ft

$-2.7t^2+40t+6.5=18\\\\-2.7t^2+40t=18-6.5\\\\-2.7t^2+40t-11.5=0$

It is a quadratic equation. Its solution is given by :

$t=\dfrac{-40+\sqrt{40^{2\ }-4\left(-2.7\right)\left(-11.5\right)}}{2\left(-2.7\right)},\dfrac{-40-\sqrt{40^{2\ }-4\left(-2.7\right)\left(-11.5\right)}}{2\left(-2.7\right)}\\\\t=0.293\ s,14.52\ s$

So, the ball is at first 0.293 s and then 14.52 s above the Moon's surface.

8 0

3 years ago

Boyle’s law states that the volume of gas varies inversely with applied pressure. Suppose the pressure on 60 cubic meters of gas

sergij07 [2.7K]

Answer: 20m³

Step-by-step explanation:

From the statement

V <> 1/p --------------------- 1

V = k/p --------------------- 2

K. = VP ---------------------- 3

V = 60 , p = 1

To find k which is a constant, we put those values in equation 3

K = 60 x 1

= 60.

Now from the second statement

V = k/p where p is 3

Therefore,

V = 60/3

= 20m³

6 0

3 years ago