Ask question

Ask question

All categories

3 years ago

11

A park has a large circle painted in the middle of the playground area.thecircle is divided into 4 equal sections And each secti

on is painted a different color.the radius of the circle is 10 meters. What is the area A of each section of the circle?

1 answer:

lilavasa [31]3 years ago

8 0

Answer:

The area of each section of the circle is $25\pi\ m^{2}$

Step-by-step explanation:

we know that

The area of a circle is equal to

$A=\pi r^{2}$

we have

$r=10\ m$

substitute

$A=\pi (10^{2})=100\pi\ m^{2}$

To find the area of each section divide the complete area of the circle by $4$

so

$100\pi\ m^{2}/4=25\pi\ m^{2}$

You might be interested in

After receiving a discount of 7.5% on its bulk order of notebooks, John's Office Supply pays $7400. What was the price of the or

Zolol [24]

X-0.075x=7400
Solve for x
0.925x=7400
x=7,400÷0.925
X=8,000

3 0

3 years ago

A password is required to be 12 to 16 characters in length. Characters can be digits (0-9), upper or lower-case letters (A-Z, a-

valkas [14]

Answer:

Step-by-step explanation:

You can find your answer in attached document.

4 0

3 years ago

Please Help! One Question!

TiliK225 [7]

Here we don't know the length of the hypo, but do have measures of both legs of this right triangle: x and 40 yd.

Use the tangent function to determine the value of x:

x
--------- = tan 62 degrees. Solving for x: x = (40 yd)(tan 62 deg).
40 yd can you evaluate this yourself?

5 0

3 years ago

1. A Square shaped wooden plate has a diagonal length of 30cm. Can you find the Perimeter of plate ?

DerKrebs [107]

Answer:

84.85cm

Step-by-step explanation:

Let the sides of the square be x

The perimeter of the square = 4x

Get x using the pythagoras theorem

x^2 + x^2 = 30^2

2x^2 = 900

x^2 = 450

x = 21.21cm

Perimeter of the plate = 4(21.21)

Perimeter of the plate = 84.85cm

6 0

2 years ago

A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determinin

riadik2000 [5.3K]

Answer:

Option b - not significantly greater than 75%.

Step-by-step explanation:

A random sample of 100 people was taken i.e. n=100

Eighty of the people in the sample favored Candidate i.e. x=80

We have used single sample proportion test,

$p=\frac{x}{n}$

$p=\frac{80}{100}$

$p=0.8$

Now we define hypothesis,

Null hypothesis $H_0$ : candidate A is significantly greater than 75%.

Alternative hypothesis $H_1$ : candidate A is not significantly greater than 75%.

Level of significance $\alpha=0.05$

Applying test statistic Z -proportion,

$Z=\frac{\widehat{p}-p_0}{\sqrt{\frac{p_0(1-p_0)}{n}}}$

Where, $\widehat{p}=80\%=0.80$ and $p=75%=0.75$

Substitute the values,

$Z=\frac{0.80-0.75}{\sqrt{\frac{0.75(1-0.75)}{100}}}$

$Z=\frac{0.80-0.75}{\sqrt{\frac{0.1875}{100}}}$

$Z=\frac{0.05}{0.0433}$

$Z=1.1547$

The p-value is

$P(Z>1.1547)=1-P(Z$

$P(Z>1.1547)=1-0.8789$

$P(Z>1.1547)=0.1241$

Now, the p-value is greater than the 0.05.

So we fail to reject the null hypothesis and conclude that the A is not significantly greater than 75%.

Therefore, Option b is correct.

7 0

3 years ago