Find the area of the sector of the circle.

A)40π
B)200π
C)60π
D)300π

Find The Area Of The Sector Of The Circle.A)40B)200C)60D)300

Answers

Answer 1

Answer:

the answer is D) 300 π

Step-by-step explanation:

Formula for Area of sector is:

θ/360° * π * (r)^2

here,

θ= 30° and radius= 60 in

so, after we substitute, we get:

30/360* π* 60*60       after simplifying we get:

= 1/12* π* 5*60

=300π

Hope it helps.

Answer 2

Answer:

D

Step-by-step explanation:

area of sector=

\( \frac{theta}{360} \times \pi \: r {}^{2} \\ \\ \frac{30}{360} \times \pi \: (60) {}^{2} \\ \\ 300\pi\)

360


Related Questions

Which of the following is an accurate definition for the power of a statistical test ?
A the probability of supporting true null hypothesis
B the probability of supporting a false null hypothesis
C the probability of rejecting a false null hypothesis
D the probability of rejecting a true null hypothesis

Answers

Which of the following is an accurate definition for the power of a statistical test is C. The power of a statistical test refers to the probability of rejecting a false null hypothesis. This means that the test is able to correctly identify when there is a significant difference between two groups or conditions.

statistical tests are used to determine whether the results of an experiment are likely due to chance or whether there is a real effect. The null hypothesis states that there is no significant difference, while the alternative hypothesis states that there is. The power of a statistical test refers to the ability of the test to correctly reject the null hypothesis when it is false, and thus support the alternative hypothesis.

, the power of a statistical test is the probability of correctly rejecting a false null hypothesis, which indicates that there is a significant difference between two groups or conditions.

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A kangaroo hops 9 kilometers in 3 minutes. at this rate how far does the kangaroo travel in 2 minutes

Answers

Answer: If a kangaroo hops 9km in 3 minutes, that means he runs 3km every minute, which we can multiply by 2 in order to get 6km in the first 2 minutes. [EXTRA: In one hour, the kangaroo can hop 180km, which means his top speed is 180km/h without accounting for fatigue]

Step-by-step explanation: a

Somebody please help and explain it.

Somebody please help and explain it.

Answers

Explanation is in the file

tinyurl.com/wpazsebu

I need help with this ​

I need help with this

Answers

Answer:

o.1

is the answer

ok

goodyck3

find the measure of x and y​

find the measure of x and y

Answers

Answer:

x = 94, y = 76

Step-by-step explanation:

The opposite angles of a cyclic quadrilateral sum to 180° , then

x + 86 = 180 ( subtract 86 from both sides )

x = 94

and

y + 104 = 180 ( subtract 104 from both sides )

y = 76

TRUE/FALSE. If the value of the Pearson correlation is r = +1.00 or -1.00, then all data points in a scatter plot fit perfection on a straight line.

Answers

False.

While a Pearson correlation coefficient of +1.00 or -1.00 indicates a strong linear relationship between two variables, it does not necessarily mean that all data points will fit perfectly on a straight line. The correlation coefficient measures the strength and direction of the linear relationship, but it does not guarantee that the data points will fall exactly on a straight line.

Scatter plots with a perfect linear relationship will have all data points lying precisely on a straight line, but this is not always the case even when the correlation coefficient is +1.00 or -1.00. There can still be some degree of scatter or variation around the line, depending on other factors such as measurement errors, outliers, or the presence of other nonlinear relationships in the data.

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An adult pass at the amusement park costs 1.6 times as much as a child's pass.

How many dollars does an adult pass cost if a child's pass costs:
$5 ; Adult pass cost $
$10; Adult pass cost $
$w; Adult pass cost $
A child's pass costs $15. How many dollars does an adult pass cost?
$

Answers

Answer:

answers are below

Step-by-step explanation:

5*1.6=8

10*1.6=16

w*1.6=1.6w

15*1.6=24

hope this helps:)

Determine the area of the shaded region below. ​

Determine the area of the shaded region below.

Answers

Answer:

the answer is 19square units

Answer:

big square -small rectangle

(5×5)-(2×3)

25-6

19 sq units

Susan Marciano invested part of her $14,000 bonus in a fund that paid a 9% profit and invested the rest in stock that suffered a 3% loss. Find the amount of each investment if her overall net profit was $660.

Answers

Susan Marciano invested $7000 in a fund that paid a 9% profit and invested the other $7000 in stock that suffered a 3% loss. The amount of each investment if her overall net profit was $660 is:

$9000 was invested in a fund that paid a 9% profit

$5000 was invested in a stock that suffered a 3% loss

Explanation:

Let’s assume that Susan Marciano invested $x in the fund that paid a 9% profit. The amount invested in the stock that suffered a 3% loss is $14,000 – $x.

The net profit of Susan Marciano is $660, which means that the amount of profit from the fund is 9% of the amount invested in the fund, while the amount of loss from the stock is 3% of the amount invested in the stock. We can write the following equation:

0.09x – 0.03(14,000 – x) = 660

Solve for x:

0.09x – 420 + 0.03x = 660

0.12x = 1080

x = 9,000

Therefore, Susan Marciano invested $9000 in the fund that paid a 9% profit, and $5000 in stock that suffered a 3% loss.

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Which inequality correctly compares Three-fifths, One-half, One-eighth, and 1? One-eighth < One-half < Three-fifths < 1 One-eighth < Three-fifths < One-half < 1 Three-fifths < One-eighth < One-half < 1 Three-fifths < One-half < One-eighth < 1

Answers

The correct inequality to compares is,

⇒ One-eighth < One-half < Three-fifths < 1

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The numbers are,

⇒ Three-fifths, One-half, One-eighth, and 1.

Now,

Find the ascending order of the numbers as;

The number are,

⇒ 3/5, 1/2, 1/8, 1

Make all the denominators same by finding the LCM of 5, 2, 8.

Since, LCM (5, 2, 8} = 80

So, All the numbers becomes;

⇒ 3/5 = 48/80

⇒ 1/2 = 40/80

⇒ 1/8 = 10/80

⇒ 1/1 = 80/80

So, The ascending order of the numbers are;

⇒ 10/80 < 40/80 < 48/80 < 80/80

This is equivalent to,

⇒ 1/8 < 1/2 < 3/5 < 1

⇒ One-eighth < One-half < Three-fifths < 1

Thus, The correct inequality to compares is,

⇒ One-eighth < One-half < Three-fifths < 1

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Solve the following quadratic equation by factoring:

x^2 + 2x - 8 = 0

Answers

Answer: x = -4 and x = 2.

To factor a quadratic equation in the form of x^2 + bx + c = 0, we need to find two numbers that when multiplied together, give us c, and when added or subtracted, give us b.

We need to find two numbers whose product is -8 and whose sum is 2. These numbers are 4 and -2, so we can write:

x^2 + 2x - 8 = (x + 4)(x - 2) = 0

Setting each factor to zero, we get:

x + 4 = 0 or x - 2 = 0

Solving for x in each equation, we get:

x = -4 or x = 2

So, the solutions to the equation x^2 + 2x - 8 = 0 are x = -4 and x = 2.

the value of x is: 4 6 3 5 2

the value of x is: 4 6 3 5 2

Answers

Answer:78

Step-by-step explanation:

How do you divide fractions with a whole number for dummies?

Answers

Even though dividing a fraction by a whole number might be challenging, it is simple to achieve with a few steps. By placing the full number above 1, you must first divide it into a fraction. After that, multiply the fraction you are dividing by the inverted version of the fraction. Lastly, simplify the response as much as possible.

For instance, to multiply 3/4 by 2:

Put 2 over 1, making it 2/1, to make it a fraction.

To get 1/2, invert 2/1.

To get 3/8, multiply 3/4 by 1/2.

Divide the numerator and denominator by 3 to get 1/4, which is the simplest representation of the fraction 3/8.

Hence, 1/4 is equivalent to 3/4 when divided by 2.

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find the value of X to the nearest tenth.

find the value of X to the nearest tenth.

Answers

Answer:

i don't know ok thank you bye

how many solutions does  3x+9=25x+14 have?

Answers

Answer:

one solution

Step-by-step explanation:

3x + 9 = 25x + 14

-3x         -3x

9 = 22x + 14

-14         - 14

-5 = 22x

solve it : -

\( \sqrt{27 \times3 } \)
_______​

Answers

Answer:

9

Step-by-step explanation:

sqrt(27*3)

sqrt(81)

sqrt(9*9)

9

Answer:

9

Step-by-step explanation:

27 * 3 = 81

√81 = 9

Find the solution to the equation and explain your reason 6x+11=27??

Answers

X = 2.666(6)

Explanation:
6x + 11 = 27
6x = 16
X = 2.666(6)

Hope this helps!

Point I is on line segment HJ. Given IJ=4 and HI=8 determine the length HJ

Pleaseeee help

Answers

Answer: 12

Step-by-step explanation:

m = -1; (-2, – 3)

please helpppp

m = -1; (-2, 3)please helpppp

Answers

The answer is that 379-28..28

PLEASE I NEED THIS QUICK!!!!!
Susan wants to make pumpkin bread and zucchini bread for the school bake sale. She has 15 eggs and 16 cups of flour in her pantry. Her recipe for one loaf of pumpkin bread uses 2 eggs and 3 cups of flour. Her recipe for one loaf of zucchini bread uses 3 eggs and 4 cups of flour. She plans to sell pumpkin bread loaves for $5 each and zucchini bread loaves for $4 each. Susan wants to maximize the money raised at the bake sale. Let x represent the number of loaves of pumpkin bread and y represent the number of loaves of zucchini bread Susan bakes.

What is the objective function for the problem?
P = 15x + 16y
P = 5x + 7y
P = 5x + 4y
P = 4x + 5y

Answers

The objective function represents the quantity that you want to maximize or minimize in an optimization problem. In this case, Susan wants to maximize the money raised at the bake sale.

The amount of money raised can be calculated by multiplying the number of pumpkin bread loaves (x) by the selling price of each pumpkin bread loaf ($5), and adding it to the product of the number of zucchini bread loaves (y) and the selling price of each zucchini bread loaf ($4).

Therefore, the objective function for this problem is:
P = 5x + 4y

So, the correct option is:
P = 5x + 4y

Triangle ABC is dilated with the origin as the center of the dilation. Which ordered pair could represent the image of point C (5,2) after the dilation

Answers

The ordered pair that could be the image point is (a) (2.5,1)

How to determine the ordered pair that could be the image point

From the question, we have the following parameters that can be used in our computation:

Point C = (5, 2)

This means that

C = (5, 2)

The point is dilated using the origin as a center of the origin

So, the image point is

C = k(5, 2)

Let k = 1/2

So, we have

C = 1/2(5, 2)

Evaluate

C' = (2.5, 1)

Hence, the ordered pair that could be the image point is (a) (2.5,1)

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Question

Triangle ABC is dilated with the origin as the center of the dilation. Which ordered pair could represent the image of point C(5, 2) after the dilation?

A (2.5,1)

B (5,−2)

C (7.5,4.5)

D (−1,−4)

if you want to round a number within an arithmetic expression, which function should you use?

Answers

If you want to round a number within an arithmetic expression, you should use the ROUND function.

The ROUND function allows you to specify the number of decimal places to which you want to round a given number. It is commonly used in programming languages and spreadsheet software.

The syntax for the ROUND function typically involves specifying the number or expression you want to round and the number of decimal places to round to. For example, if you want to round a number, let's say 3.14159, to two decimal places, you would use the ROUND function like this: ROUND(3.14159, 2), which would result in 3.14.

Using the ROUND function ensures that the rounded number is calculated within the arithmetic expression, providing the desired level of precision in the calculation.

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Question Content Area
Net Present Value
A project has estimated annual net cash flows of $15,000 for ten
years and is estimated to cost $47,500. Assume a minimum acceptable
rate of return of 20%. Use

Answers

The required rate of return (or minimum acceptable rate of return) is 20 percent. If the net cash flows are $15,000 per year for ten years, the total cash flow is $150,000. The project's cost is $47,500. We can now apply the net present value formula to determine whether or not the project is feasible.

Net Present Value (NPV) = Cash flow / (1 + r)^n - Cost Where, r is the discount rate, n is the number of years, and Cost is the initial outlay.

Net Present Value = 150000 / (1 + 0.20)^10 - 47500

Net Present Value = $67,482.22

Since the NPV is positive, the project is feasible. When calculating net present value, it's important to remember that a positive NPV implies that the project is expected to generate a return that exceeds the cost of capital, whereas a negative NPV indicates that the project is expected to generate a return that is less than the cost of capital, and as a result, it should be avoided.

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I need some help with these worksheets, thank you!

I need some help with these worksheets, thank you!
I need some help with these worksheets, thank you!

Answers

Answer:

Refer to the attachment

I need some help with these worksheets, thank you!

Three friends went out to lunch. They each started with the same amount of money, and they each spent $6. They ended with a combined total of $24. How much money did each of them have to start?
Write an equation that could be used to answer the question above. First, chose the appropriate form. Then fill in the blanks with the numbers 3, 6, and 24.
A. _(x + _) = _
B. _(x - _) = _

Answers

An equation that could be used to answer the question above is,

3(x - 6) = 24.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Three friends went out to lunch. They each started with the same amount of money, and they each spent $6.

Now, They ended with $24 combined so each must have ended with

(24/3) = $8.

Now, Each has ended with $8 and spent $6 so they had a total of (8 + 6)

= $12.

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What is the relationship between force, mass, and acceleration?

Answers

Step-by-step explanation:

Force = Mass × Acceleration

SI Unit of Force Is NewtonSI Unit of Mass Is Kilograms SI Unit of Acceleration Is Metre per second Square .

Hope it helps :)

Answer :

★ As per newton's second law of motion, force is measured as the product of mass and acceleration\(.\)

F = m × a

F denotes force

m denotes mass

a denotes acceleration

➤ Force is a polar vector quantity as it has point of application.

It has both magnitude as well as direction.

SI unit of force : N (newton)

Hope It Helps!

each time you put a dollar in a vending machine you get a snack. your response (putting money in the machine) is reinforced according to which of the following schedules? a. fixed ratio b. variable interval c. fixed interval d. variable ratio

Answers

A fixed ratio schedule is a type of reinforcement schedule in which a response is reinforced after a specific number of responses. In this case, the response of putting money in the machine is reinforced after every 1 response.

If each time you put a dollar in a vending machine you get a snack, then your response is reinforced according to a fixed ratio schedule.

Variable interval, fixed interval, and variable ratio schedules are all different types of reinforcement schedules that are based on different criteria. A variable interval schedule is a type of reinforcement schedule in which a response is reinforced after a random interval of time. A fixed interval schedule is a type of reinforcement schedule in which a response is reinforced after a fixed interval of time. A variable ratio schedule is a type of reinforcement schedule in which a response is reinforced after a random number of responses.

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My sister baked me a cake. We bought a litre of milk and went to town - we almost ate the whole cake! In the end my sister and I ate 5/7 of the cake. If the remainder of the cake was divided among three other friends (not including me and my sister) how much would each friend receive?

Answers

Answer:

2/21

Step-by-step explanation:

2/7 ÷3

sorry if wrong

2/7 * 1/3

2/21

Answer:

2/21 per friend

Step-by-step explanation:

A whole cake is 1 or as a fraction 7/7

5/7 of the cake was eaten

7/7 - 5/7 = 2/7

This was divided by 3 friends

2/7 ÷3

Copy dot flip

2/7 * 1/3

2/21

Find the outlier of the data set.43, 69, 49, 78, 88, 54, 73, 194, 54, 59, 70

Answers

194 because it is much higher than the other numbers

: Find the indicated probability. Round your answer to 6 decimal places when necessary. A card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of drawing a face card or a 5? Select one: O A4 13 O B. 16 O C. 48 52 OD 13

Answers

The probability of drawing a face card or a 5 is 4/13. Option a is correct.

A card is drawn at random from a well-shuffled deck of 52 cards. To find the probability of drawing a face card or a 5, we need to count the number of cards in a deck that are face cards or 5s and divide that by the total number of cards in a deck.

There are 16 such cards (12 face cards and 4 5s) in a deck and 52 total cards. So the probability of drawing a face card or a 5 is:

16/52 which can be simplified to 4/13.

The probability is 4/13. Option a is correct.

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