What is the right answer to this? I calulated and it said the first option was wrong. Find the area of the sector use 3.14 for pi

What Is The Right Answer To This? I Calulated And It Said The First Option Was Wrong. Find The Area Of

Answers

Answer 1

Answer:

84.8

Step-by-step explanation:

[tex]\textsf{Area of a sector of a circle}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]

[tex]\textsf{(where r is the radius and the angle }\theta \textsf{ is measured in degrees)}[/tex]

Given:

[tex]\theta[/tex] = 120°[tex]\pi[/tex] = 3.14r = 9

Substitute the given values into the formula:

[tex]\begin{aligned}\implies \textsf{Area} & =\left(\dfrac{120^{\circ}}{360^{\circ}}\right) \cdot 3.14 \cdot 9^2\\\\& = \dfrac{1}{3} \cdot 3.14 \cdot 81\\\\& = 84.78\\\\ & = 84.8\: \sf (nearest\:tenth)\end{aligned}[/tex]

Answer 2

Answer:

A ≈ 84.8 units²

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × [tex]\frac{120}{360}[/tex]

   = π × 9² × [tex]\frac{1}{3}[/tex]

  = 81π × [tex]\frac{1}{3}[/tex]

  = 27π

 = 27 × 3.14

 ≈  84.8 units² ( to the nearest tenth )


Related Questions

3 . Which graph represents a function?

Answers

Answer:

There is no graph....

Step-by-step explanation:

But I believe this is the graph you are talking about

Therefor Graph D represents a function.

A square coaster has a side length of 512 feet on each side.

What is the area of the coaster?

Enter your answer as a fraction in simplest form by filling in the boxes.

Answers

Hi Mitsu there is no fraction to this. You multiply the base and height to get the area. So 512 x 512 = 262144

Answer:

A square is a 2D figure with four equal straight sides and four right angles. This means the length and width will be the same, which are both 512.
512 x 512 = 262144 ft2







Step-by-step explanation:

Have a great rest of your day
#TheWizzer

If f(x) = x and g(x) = 2, what is (f•g)(x)?

Answers

Answer:

(f•g)(x) = (x)(2) = 2x

Step-by-step explanation:

(f•g)(x) is the "product" of functions f and g:  

(f•g)(x) = (x)(2) = 2x

Given a+b=7 and a-b=3, find the following.

2^a*2^b

Answers

Answer:

a = 5

b = 2

Step-by-step explanation:

You can use system of equations on this.

HELP PLEASE I already asked this question but no one answerd PLEASE!!!

Answers

Answer:

i say the second one

im sorry if this is wrong

and if this is a test someone is going to report you

Step-by-step explanation:

ok ok ok ok ok ok ok

Answers

Answer:

3: equally likely

4: likely

Step-by-step explanation:

Question 3:

the spinner has 1, 2, 3, 4, 5, 6

2, 4, 6 are all even number which is 3 / 6 = 1 / 2

so half a chance can be odd or half even possibility of landing

Question 4:

- 13 yellow

- 4 green

- 3 blue

total marbles: 13 + 4 + 3 = 20

yellow / total = 13 / 20

which is more than half of the marbles are yellow

deviation = ((absolute value of the difference between expected heads and observed heads) + (absolute value of the difference between expected tails and observed tails)) divided by total number of tosses. This value should always be positive.

1. In tossing one coin 10 times, what are your chances for tossing a head? a tail?: When I tossed one coin 10 times, I got heads 4 times and I got tails 6 times.

2. In tossing one coin 100 times, what are your chances for tossing a head? a tail?: I got heads 55 times and tails 45 times when I tossed one coin 100 times.

3. In tossing one coin 200 times, what are your chances for tossing a head? a tail?: When I flipped one 200 times, I got heads 92 times, and tails 108 times.

4. What is the deviation for 10 tosses?: 0.1

5. What is the deviation for the 100 tosses?

6. What is the deviation for 200 tosses?

7. How does increasing the total number of coin tosses from 10 to 100 affect the deviation?

8. How does increasing the total number of tosses from 100 to 200 affect the deviation?

Answers

When a coin is tossed ten times, the probability of getting a head will be 1/2.

How to solve the probability?

In probability, one can either get a head or a tail. Therefore, when a coin is tossed ten times the probability of tossing a head will be:

= 5/10 = 1/2

In tossing one coin 100 times, the chances for tossing a head will be:

= 1/2 × 100 = 50

In tossing one coin 200 times, the chances for tossing a head will be:

= 1/2 × 200

= 100

In conclusion, the deviation for 10 tosses is 0.1

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calculate the 12% simple interest of R10000 in a year​

Answers

Answer:1.4.

Step-by-step explanation:

A book rests on a table. The force of gravity pulls down on the book with a force of 25 newtons. What prevents the book from accelerating downward at 9. 8 m/s2?.

Answers

Answer:

the table is pressing back on the boom with its own force which is greater than gravity

evaluate sin 315 without a calculator

Answers

Answer:

-0.7071.

Step-by-step explanation:

The value of function sin 315 is -1/2.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Sin 315 degrees can be found by using the unit circle.

The unit circle is a circle with the radius of one centered at the origin of a coordinate plane.

Every point on the unit circle is a point that is one unit away from the origin.

The unit circle is used to help find the exact values of the trigonometric functions at specific angles.

The angle 315 degrees is in the fourth quadrant of the unit circle, so the x-coordinate is negative and the y-coordinate is negative.

Using the x-coordinate, we can calculate the sine to be -1/2.

Hence, the value of function sin 315 is -1/2.

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Solve the simultaneous equations
2x - y = 6
3x + y = 14

Answers

Answer:

x = 4

y = 2

Explanation:

2(4) = 8 - 2 = 6

3(4) = 12 + 2 = 14

Step by step explanation:
2x - y = 6 —(1)
3x + y = 14 —(2)

Make y in (2) the subject:
y = 14 - 3x —(3)

Substitute (3) into (1):
2x - (14 - 3x) = 6
2x - 14 + 3x = 6
5x - 14 = 6
5x = 6 + 14
5x = 20
x = 20 / 5
x = 4

Substitute x = 4 into (2):
3(4) + y = 14
12 + y = 14
y = 14 - 12
y = 2

ANS : x = 4, y = 2

WILL MARK BRAINLIST!!! PLS HELP QUICK!!
Find the least number which must be subtracted from 1381 so as to get a perfect square number. Also find the square root of the square number so obtained.​

Answers

Answer:

12.

Square root = 37,

Step-by-step explanation:

40^2 = 1600

35^2 = 30 * 40 + 25 = 1225

So the requred square is between 35 and 40

38^2 = 1444

37^2 = 1369 - so its this one.

Required difference = 1381 - 1369 = 12.

I need help to understand Prime Factorization and Exponents

2 × 2 × 13 × 13 × 17 = 2x × 13y × 17z where x=____ , y=____ , z=____

Answers

Answer:

x = 2, y = 13, z = 1

Step-by-step explanation:

2 * 2 * 13 * 13 * 17 is equal to 2x * 13y * 17z.

knowing that 2x = 2 * x

therefore

2 * 2 * 13 * 13 * 17 * 1

2 * x * 13 * y * 17 * z

meaning that

x = 2, y = 13, z = 1

HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

x>10

Step-by-step explanation:

Think of the < and > signs as arrow marks

Whichever direction the arrows pointing, that's where you should plot.

The line graph shown goes rightwards, so use the sign that looks like it's pointing right. (>)

Finally, don't use the greater than or equal to sign because the circle isn't colored in. This means that it doesn't include 10, only numbers higher than 10.

PLSSS HELPPPPP 20 POINTS!!!!!!!!!!! HELP HELP!!!!! PLSSSSS

Answers

Answer:

A. For sure

Step-by-step explanation:


Product of 12 => 12x
is greater than => [tex]\geq[/tex]
24

so 12x [tex]\geq[/tex] 24

Answer:

c. 12x > 24

Step-by-step explanation:

Only one choice has the "greater than" symbol. It is C.

A number is the variable x.

The product of 12 and a number is 12 × x which is written simply as 12x.

12x is greater than 24.

The symbol for "greater than" is >.

Answer: c. 12x > 24

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Mark this and return

Answers

Step-by-step explanation:

we don't see all answer options.

but I am sure it must be b.

simply because the right graph shows that the curve goes through

(4, 0) and (-4, 0)

and

(0, 3) and (0, -3)

but if I am mistaken about b showing that, please pick the graph that shows this.

the reason is to think when is the x term being 1, when y = 0, and when is the y term being 1, when x = 0.

these are some "cornerstones" for the graph based on the functional definition.

and the answers are the points listed above.

D
(9x -31)
=-2)
+33)
E
ZDCE=
Blank 1:

Answers

Answer:

x = 6 [tex]\frac{8}{9}[/tex]

Step-by-step explanation:

From what I think the equation is, I got x = 6 [tex]\frac{8}{9}[/tex]

Find the volume of the sphere.

Answers

Answer:

V = 4/3 πr³

Step-by-step explanation:

Find the volume of the sphere

since there is no data, I mean you are looking for the formula

The formula for the volume of a sphere is V = 4/3 πr³.

Answer:

volume of sphere is the capacity it has. It is the space occupied by the sphere. The volume of sphere is measured in cubic units, such as m3, cm3, in3,

Finding the surface area

Answers

Answer: so you do length times width times height and then you divide by two

Step-by-step explanation:

The village basket shop has two types of basket available.One type holds 2 meals and one holds 4 meals.There are 25 basket in the shop, and they can hold a total of 70 meals How many baskets are there that hold 4 meals? help me ASAP

Answers

Using a system of equations, it is found that there are 10 baskets that hold 4 meals in the shop.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given by:

Variable x: Number of baskets that hold 2 meals.Variable y: Number of baskets that hold 4 meals.

There are 25 baskets in the shop, hence:

x + y = 25 -> x = 25 - y

They can hold a total of 70 meals, hence:

2x + 4y = 70

2(25 - y) + 4y = 70

2y = 20

y = 10

There are 10 baskets that hold 4 meals in the shop.

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The shopkeeper agrees to give him a total discount of $70, but charges $9 for every pen. what is the maximum number of pens he can buy now?

Answers

To determine the maximum number of pens he can buy, we need to consider the total discount of $70 and the cost of each pen, which is $9.

Assume he buys an "x" number of pens.

The total discount he receives can be calculated by multiplying the number of pens by the cost of each pen:

$9x

Based on, the shopkeeper agrees to give him a total discount of $70, so we have the equation:

$9x = $70.

To determine the maximum number of pens he can buy, we need to solve for "x".

Dividing both sides of the equation by $9:

x = $70 / $9.

x= 7.77.

Therefore, the maximum number of pens he can buy is 7.

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factor completely
2c^3-22c^2+48c

Answers

Answer:

2c(c - 3)(c - 8)

Step-by-step explanation:

Hello!

Factor:

2c³ - 22c² + 48c2c(c² - 11c + 24)

Think: What two numbers multiply to 24, and add up to -11?

Answer: -8 and -3

Split up the -11c into -8c and -3c:

2c(c² - 8c - 3c + 24)      (factor each pair)2c( c(c - 8) - 3(c - 8))  2c(c - 3)(c - 8)

Write the equation of the line that is perpendicular to the graph of y=1/2x +6, and whose y-intercept is (0,-2).

Answers

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{2}}x+6\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

so then

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{1}{2}} ~\hfill \stackrel{reciprocal}{\cfrac{2}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{2}{1}\implies -2}}[/tex]

so we're really looking for the equation of a line whose slope is -2 and passes through (0 , -2)

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{-2})\qquad \qquad \stackrel{slope}{m}\implies -2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{-2}(x-\stackrel{x_1}{0}) \\\\\\ y+2=-2x\implies y=-2x-2[/tex]

guys help how do i do fings like
63+__=100
I did this 6+_=10 and it’s 4
And 3 + _=0 abs it’s 3 so I thought it was 43 but it’s wrong help

Answers

Answer:

63+37=100 there you go

that the answer

Answer:

37

Step-by-step explanation:

To find out what the missing number is, you can subtract the known number (63) from the sum (100). 100 - 63 = 37.

what fraction of a dollar is 7 dimes and 8 pennies

Answers

Answer:

78/100 or if simplified 39/50

Step-by-step explanation:

Add together the 70 cents and 8 pennies to get 78 cents. One dollar is 100 cents so you automatically get the fraction 78/100 and you can simplify by dividing it by 2 in order to get 39/50.

How much profit did jamie make if he sold 87tickets for his treasure when he changes r 2.00 per entry and all the prizes have cost him a total of r 69.80

Answers

Answer:

r 104.20

Step-by-step explanation:

87tickets x r 2.00 = 174

174 - 69.80 = r 104.20

A pedestrian sees a cat stuck in the tree that is 40.4 feet tall and calls 911. A fire truck
arrives and sends a fireman up in a rescue lift to save the cat. If the rescue lift is ascending at
a 45° angle of elevation, how far must the rescue bucket reach to save the cat?

Answers

Answer:

the cat should be about 6 or 7 inches away

Step-by-step explanation:

I'm sorry if I was wrong I hope I help

Answer:

57.3 feet

Step-by-step explanation:

Make a right angle triangle. Angle is 45 degrees

hight is 40.4 which is opposite to this angle, that means it's opposite side. And the distance of the bucket to rescue cat is hypotenuse, that's what we are looking for.

apply trig ratio

Sinθ = opposite leg/ hypotenuse

[tex] \sin( 45) = \frac{40.4}{x} \\ x = \ \frac{40.4}{ \sin(45) } \\ x = 57.275 \\ x = 57.3[/tex]

mean: _.5
Median: 5._

Answers

Answer: Mean=4.5

Median=5.5

Step-by-step explanation:

MEAN= Add all of the numbers together then divide by 18 to get 4.5

Median=To find the median, first order your data. Then calculate the middle position based on n, the number of values in your data set. If n is an odd number, the median lies at the position (n + 1) / 2. If n is an even number, the median is the mean of the values at positions n / 2 and (n / 2) + 1. This should get you 5.5

Jill is weighing between two job offers. Job offer 1, would pay her a base salary of
$58,000 with an increase of $3,000 per year. Job offer 2, would pay $53,000 with an
increase of $3500 per year. At which year would both jobs have an equal pay? (Note that
it would only happen at that year)

Answers

Answer:

a 230 metersa 230 metersa 230 metersa 230 metersa 230 metersa 230 metersa 230 meters

need help with all of these questions you see on the top. there the red squares. please someone smart. this is one of the problems I need to finish this tonight.​

Answers

Let's consider the information given:

Volume: 678.24 yd³radius: 6 yd[tex]\pi[/tex] = 3.14

Let's consider what we want to find:

Height

Let's consider how the: ⇒ volume, radius, height ⇒ are related

    [tex]Volume = \pi *(radius)^2*height[/tex]

Let's Solve:

  [tex]678.24=3.14 *(6)^2*height\\height=6_.yd[/tex]

Answer: 6 yd

Hope that helps!

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