Look at the picture!

Answer:

The area of the shaded region is about 38.1 square centimeters.

Step-by-step explanation:

We want to find the area of the shaded region.

To do so, we can first find the area of the sector and then subtract the area of the triangle from the sector.

The given circle has a radius of 6 cm.

And the given sector has a central angle of 150°.

The area for a sector is given by the formula:

[tex]\displaystyle A=\pi r^2\cdot \frac{\theta}{360^\circ}[/tex]

In this case, r = 6 and θ = 150°. Hence, the area of the sector is:

[tex]\displaystyle \begin{aligned}A&=\pi(6)^2\cdot \frac{150}{360}\\ &=36\pi\cdot \frac{5}{12}\\&=3\pi \cdot 5\\&=15\pi \text{ cm}^2\end{aligned}[/tex]

Now, we can find the area of the triangle. We can use an alternative formula:

[tex]\displaystyle A=\frac{1}{2}ab\sin(C)[/tex]

Where a and b are the side lengths, and C is the angle between them.

Both side lengths of the triangle are the radii of the circle. So, both side lengths are 6.

And the angle C is 150°. Hence, the area of the triangle is:

[tex]\displaystyle A=\frac{1}{2}(6)(6)\sin(150)=18\sin(150)[/tex]

The area of the shaded region is equivalent to the sector minus the triangle:

[tex]A_{\text{shaded}}=A_{\text{sector}}-A_{\text{triangle}}[/tex]

Therefore:

[tex]A_{\text{shaded}}=15\pi -18\sin(150)[/tex]

Use a calculator:

[tex]A_{\text{shaded}}=38.1238...\approx 38.1\text{ cm}^2[/tex]

The area of the shaded region is about 38.1 square centimeters.

Answer:

288xy

Step-by-step explanation:

First, you multiply 12 by 24 and you get 288. Next, you can't forget the variables, so you add those to the end and get, 288xy.

Answer:x=57

Step-by-step explanation:

Answer:

9e^5f^6

Step-by-step explanation:

Answer:

198

Step-by-step explanation:

rectangular side (9,3)

9x3=27

27x2= 54 (because there's rectangular sides)

Square end(6,3)

6x3=18

18x2=36(two square sides)

top&bottom sides

6x9=54

54xsquared2=108(two sides)

add all together

54+36+108=198cm(squared)

Answer:

1.4

Step-by-step explanation:

Answer:

B, 1.4

Step-by-step explanation:

answer

a is 39750000

b is 99375

Step-by-step explanation:

big numbers

Answer:

2520°

Step-by-step explanation:

Formula : (n - 2) 180, n = sides

(16-2) 180 --> (14) 180 --> 2520

Answer:

Step-by-step explanation:

Number of laps run by Runner A = x

Number of laps run by Runner B = y

Runner B ran 6 more than twice as many laps as Runner A.

b = 6 + 2a

Together they ran a total of 30 laps.

a + b = 30

Part A: Write an equation for this situation. Use a variable to represent the number of laps for Runner A.

Part B: How many laps did Runner A run?

a + b = 30

b = 6 + 2a

Hence:

a + 6 + 2a = 30

3a = 30 - 6

3a = 27

a = 27/3

a = 9 laps

Part C: How many laps did Runner B run?

a + b = 30

b = 30 -9

b = 21 laps

Answer:

$96

Step-by-step explanation:

$36/3= $12 per hour

$12 * 8 = $96

Answer:

82.35%

Step-by-step explanation:

60 divided by 340=0.17647058823

Multiply that by 100 and you get 17.647058823

Next, round and you get 17.65

100-17.65=82.35

Answer:

B I think hope it is right

Answer:

Well first you have to remember the plane was supposed to go north

But then he crashed at East so he has to go back to North

Step-by-step explanation:

Answer:

[tex] \frac{4}{10} [/tex]

Step-by-step explanation:

Add all the bows together to get your total amount of bows, 5+1+4=10

this will be your demoninator.

there is 4 purple bows so that will be your numerator.

[tex] \frac{purple \: bows}{total \: number \: of \: bows} [/tex]

Probability can be answered as fraction, decimal and percentage..

Answer:

Step-by-step explanation:

Probability = favorable outcomes / total outcomes

Total number of bows:

Number of purple bows:

Probability of choosing a purple bow:

Answer:

12.

Step-by-step explanation:

That would be sum of wieghts/average weight

= 540 / 45

= 12.

The number of students having an average of 45 kg will be 12.

Average is defined as the ratio of the sum of the number of the data sets to the total number of the data. The average actually determines the middle value of the data.

Given that in a continuous series the average weight of some students Is 45 kg and the sum of their weight is 540 kg.

The average is calculated by the formula below,

Average = (Sum of the data) / Number

Number = ( Sum of the data) / Average

Number = 540 / 45

Number = 12

The total number of students is 12 in number.

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Answer:

576

Step-by-step explanation:

U have to multiple 9 4 and 16 and get 576 and it’s base times Height

Answer:  -50x^3 - 25x^2 - 110x - 55

Step-by-step explanation: brainliets if its right

Answer:

3√5

Step-by-step explanation:

The largest perfect square of the factors of 45 is 9. We can therefore convert √45 like this:

√9 × 5

Next, we separate the numbers inside the √ as such:

√9 × √5

√9 is a perfect square that equals 3. We can therefore put 3 outside the radical and get the final answer to square root of 45 in simplest radical form as follows:

3√5

Answer:

31.25 miles

Step-by-step explanation:

Answer: 7

Step-by-step explanation:

Total=LN

Piece= LM

Total-piece

LN-LM=MN

20-13=7

MN=7

Answer:

its 7

if you subtract LM and LN you get 7

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 6 , then

y = 6x + c ← is the partial equation

To find c substitute (2, 19) into the partial equation

19 = 12 + c ⇒ c = 19 - 12 = 7

y = 6x + 7 → B

Answer:

B. y = 6x + 7

Step-by-step explanation:

Since the equation in slope: intercept form, y = mx + b, identify the slope of the line as the coefficient next to the variable x

y = 6x + 7, m = 6

Use the given slope and point to substitute into the point-slope formula

[tex]y - y1 = m (x-x1)[/tex]

Slope: intercept form:

y = 6x + 7

Point-slope form:

y - 19 = 6 (x - 2)

[tex]52 - x = 52[/tex]

[tex]x = 52 - 52[/tex]

[tex]x = 0[/tex]

9514 1404 393

Answer:

  138°

Step-by-step explanation:

The measure of arc ABC is the measure of the corresponding central angle, ∠ANC. That angle is shown as 138°, so the measure of arc ABC is 138°.

Measure of an angle  ABC is 111 degrees i.e. [tex]m[/tex]∠ABC = 111 degrees.

The angle subtended by an arc at the center of the circle is double the angle subtended by the same arc at the circumference of the circle.

According to the given question

The angle subtended at the center of circle, i.e. ∠ANC = 138 degrees.

The exterior angle at the center is (360 - 138)degrees = 222 degrees

by angle subtended by an Arc of a circle theorem

[tex]m[/tex]∠ABC = [tex]\frac{222}{2}[/tex] [tex]= 111 degrees[/tex]

Hence, [tex]m[/tex]∠ABC = 111 degrees.

Learn more about angle subtended at the center of circle theorem here:

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Answer:

that is funny. That is where my dad was born and now he has horrible breathing issues

Step-by-step explanation:

Answer:

, Im in Arizona. Also what's this question about, that you disagree or agree?

Answer:

It's linear

Step-by-step explanation:

Answer:

Step-by-step explanation:

a function representing a st. line is linear.