All categories

2 years ago

Find the exact area of a circle having the given circumference. 4(√3 π) A =

1 answer:

4 0

$\bf \textit{circumference of a circle}\\\\
C=2\pi r\qquad 
\begin{cases}
r=radius\\
----------\\
C=4\sqrt{3}\ \pi 
\end{cases}\implies 4\sqrt{3}\ \pi=2\pi r
\\\\\\
\cfrac{4\sqrt{3}\ \pi}{2\pi}= \boxed{r}\\\\
-----------------------------\\\\
\textit{area of a circle}\\\\
A=\pi r^2\qquad \boxed{r}=\cfrac{4\sqrt{3}\ \pi}{2\pi}\implies A=\pi \left( \cfrac{4\sqrt{3}\ \pi}{2\pi} \right)^2$

You might be interested in

How do I do C?Someone please help asap.

Andre45 [30]

You have to find the slope of the line. It will give you the conversion rate from inches to centimetres or the other way around.

Looking closely at the graph, or using a ruler as reference, you can estimate that 30 cm ≈ 12 in. In terms of the graph, the line very nearly passes through the point (12, 30). It also passes through the origin, (0, 0), since 0 cm = 0 in exactly.

The slope of the line is then

$\dfrac{30\,\mathrm{cm}-0\,\mathrm{cm}}{12\,\mathrm{in}-0\,\mathrm{in}} = \dfrac{30\,\rm cm}{12\,\rm in} = \dfrac{5\,\rm cm}{2\,\rm in} = 2.5\dfrac{\rm cm}{\rm in}$

which means that 1 in ≈ 2.5 cm.

So, if Sarah's height is 64 in, we convert this to cm and find her height is (approximately)

$64\,\mathrm{in} \times 2.5\dfrac{\rm cm}{\rm in} = \boxed{160\,\rm cm}$

3 0

2 years ago

Geo usually drinks 36 ounces of water per day. If he starts drinking 64 ounces, what is the percent increase?

STALIN [3.7K]

The percent change is 77.77%

6 0

3 years ago

Read 2 more answers

2. Which of the following systems of inequalities represents the graph?

Rom4ik [11]

Answer:

Option: D is the correct answer.

D) –2x + y ≥ 4

x + y < 2

Step-by-step explanation:

We are asked to find the linear inequality that represents the following graph.

Clearly from the graph we could observe that one line is dotted and the other is solid line.

i.e. one inequality is strict while the other is a inequality with equality sign.

<u>Dashed line:</u>

It passes through (0,2) and (2,0).

Hence, the equation of line is:

$y-2=\dfrac{0-2}{2-0}\times (x-0)\\\\\y-2=\dfrac{-2}{2}\times x\\\\y-2=-x\\\\x+y=2$

As the shaded region is towards the origin.

Hence, the inequality will be:

x+y<2.

<u>Solid line:</u>

The line passes through (-2,0) and (0,4).

hence equation of line is:

$y-0=\dfrac{4-0}{0-(-2)}\times (x+2)\\\\$

i.e

$y=\dfrac{4}{2}\times (x+2)\\\\y=2\times (x+2)\\\\y=2x+4\\\\-2x+y=4$

Now, as the shaded region is away from the origin hence the inequality which will be used is:

$-2x+y\geq 4$

Hence, option: D is the correct answer.

D. –2x + y ≥ 4

x + y < 2

8 0

3 years ago

Read 2 more answers

Identify an outlier in the data set below, if one exists.

irinina [24]

The outlier is 9.1 :)

4 0

3 years ago

Help i can't figure this out. Can someone help explain how to do this

postnew [5]

Those two angles have to add up to 180° as that is a straight angle, so 5x - 10 + 6x + 10 = 180. combine like terms to get 11x - 10 + 10 = 180. the 10 cancels, so 11x = 180. divide both sides by 11 to get x = approximately 16.36.

FYI - I CANNOT TELL IF THAT ACTUALLY SAYS 5

6 0

3 years ago