Stephanie is cutting a pie. Stephanie's mother wants one fourth of the pie. The diameter is 20 cm.
What is the sector area of the pie her mother does not want?

Answers

Answer 1

Answer:

78.55cm^2

Step-by-step explanation:

Given data

DIameter of pie= 20 cm

Radius of pie= 10cm

Area of pie= πr^2

Area= 3.142*10^2

Area= 3.142*100

Area= 314.2 cm^2

Hence one fourth  of 314.2 cm^2 is

= 314.2/4

= 78.55cm^2

Therefore the area of the sector is 78.55cm^2


Related Questions

The high temperature on a given winter day is °5 degrees f. What is the temperature in °degrees c?

Answers

Answer:

-15 degrees Celsius

Step-by-step explanation:

(5 - 32)*(5/9)= -15 Farenheit

PLZZZ HELP 50 POINTS but answer honestly not just for points or i will report you

PLZZZ HELP 50 POINTS but answer honestly not just for points or i will report you

Answers

Answer:

8, 3, -2, -7

Step-by-step explanation:

To solve you have to multiply -5 by whatever number is in the x column of the table then add 3. For example, -5*0 = 0, then 0+3 = 3 and that's your answer(s).

Answer:  In order from top to bottom:

9

3

-2

-7

Step-by-step explanation:

To find the y u would replace 'x' in the equation with one of the x's in the colom.

For example:

     y = -5 (-1) + 3

         = 6 + 3

           = 9

REMEBER = A negative times a negative is a positve.

Let S(t) be the price of a stock at time t. The stock price is modeled by a geometric Brownian motion
S(t) = S(0) 0.035+0.3W(t),
where W(t), t > 0 is a standard Brownian motion. Given that S(0) = 17. Determine the covariance of S(1) and S(2).

Answers

The covariance of S(1) and S(2) is 0.

To determine the covariance of S(1) and S(2), we need to calculate the covariance between S(1) and S(2) using the given geometric Brownian motion model.

The covariance between two random variables X and Y is defined as Cov(X, Y) = E[(X - E[X])(Y - E[Y])], where E denotes the expectation.

In this case, we have S(t) = S(0) * (0.035 + 0.3W(t)), where W(t) is a standard Brownian motion and S(0) = 17.

First, we need to calculate the expected values of S(1) and S(2):

E[S(1)] = E[S(0) * (0.035 + 0.3W(1))]

       = S(0) * E[0.035 + 0.3W(1)]

       = S(0) * (0.035 + 0)

       = S(0) * 0.035

       = 17 * 0.035

       = 0.595

E[S(2)] = E[S(0) * (0.035 + 0.3W(2))]

       = S(0) * E[0.035 + 0.3W(2)]

       = S(0) * (0.035 + 0)

       = S(0) * 0.035

       = 17 * 0.035

       = 0.595

Now, we can calculate the covariance:

Cov(S(1), S(2)) = E[(S(1) - E[S(1)])(S(2) - E[S(2)])]

               = E[(S(0) * (0.035 + 0.3W(1)) - 0.595)(S(0) * (0.035 + 0.3W(2)) - 0.595)]

Since W(1) and W(2) are independent standard Brownian motions, their covariance is zero.

Cov(S(1), S(2)) = E[(S(0) * (0.035 + 0) - 0.595)(S(0) * (0.035 + 0) - 0.595)]

               = E[(17 * 0.035 - 0.595)(17 * 0.035 - 0.595)]

               = E[(0.595 - 0.595)(0.595 - 0.595)]

               = E[0]

               = 0

Therefore, the covariance of S(1) and S(2) is 0.

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Find the measure of an angle between 0° and 360° coterminal witheach given angle. 415°

Answers

The coterminal angle with 415° between 0° and 360° is -305°.

To find the coterminal angle with 415° between 0° and 360°, we can subtract or add multiples of 360° until we get an angle within that range.

To find the coterminal angle greater than 415°, we can subtract multiples of 360°. Let's start by subtracting 360°:
415° - 360° = 55°

Since 55° is still greater than 360°, we can subtract another 360°:
55° - 360° = -305°

Now we have a negative angle, -305°, which is within the range of 0° and 360°. Therefore, the coterminal angle with 415° between 0° and 360° is -305°.

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What percent of this grid is shaded?

What percent of this grid is shaded?

Answers

the answer is 14% because there are 14 squares shaded

Answer:

14%

Step-by-step explanation: Just count the boxes they show you what percent it is

please help!!!!!!!!!!!!!!!!

please help!!!!!!!!!!!!!!!!

Answers

Answer:

the answer is simple you just p times a

and d

Step-by-step explanation:

:]

Answer:

hope this help you

Step-by-step explanation:

p times x and d

a person is paying $10 per week to a friend to repay a $100 loan

Answers

Answer:

It would take the person 10 weeks to pay the friend back

Step-by-step explanation:

Don't know is this was the question :l

Answer:

y=-10x+100

Step-by-step explanation:

Do you think president ronald reagan's policies had a positive or negative effect on the country overall? explain your response.

Answers

Ronald Reagan's policies as President of the United States had a significant impact on the country, and opinions about the nature of this impact are often divided.

Some people argue that Reagan's policies had a positive effect on the country, pointing to his efforts to reduce government regulation, lower taxes, and increase defense spending as key factors in driving economic growth. Others, however, see Reagan's policies as having a negative impact on the country, particularly in terms of their impact on social programs, environmental protections, and inequality.
One of Reagan's most notable policy initiatives was his effort to reduce government regulation of the economy. Proponents of this approach argue that reducing government regulation helped to spur innovation and entrepreneurship, driving economic growth and creating jobs. However, critics argue that this approach led to increased pollution, reduced consumer protections, and the prioritization of corporate interests over public well-being.
Another key aspect of Reagan's policies was his focus on lowering taxes. Supporters of this approach argue that lower taxes help to stimulate economic growth and job creation, while opponents argue that they primarily benefit the wealthy and contribute to growing inequality.
Reagan's policies also had a significant impact on social programs, including efforts to cut funding for public education, healthcare, and social services. While some argue that these cuts were necessary to rein in government spending, critics argue that they had a devastating impact on vulnerable populations, exacerbating poverty and inequality.
Overall, opinions about the impact of Reagan's policies on the country are deeply divided, with proponents arguing that his focus on deregulation and lower taxes drove economic growth, while critics argue that his policies contributed to growing inequality and environmental degradation. Ultimately, the long-term impact of Reagan's policies will continue to be debated and studied by economists, historians, and policymakers for years to come.

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a) what additional info is needed to prove the triangles are congruent by ASA postulate, explain.

b) what additional info is needed to prove the triangles are congruent by the HL theorem, explain.

a) what additional info is needed to prove the triangles are congruent by ASA postulate, explain. b)

Answers

Answer:

See below

Step-by-step explanation:

A) If \(DF\cong GH\), then both triangles will be congruent by the ASA postulate

B) If \(DE\cong GI\), in addition to one of the corresponding leg pairs being congruent to each other (so EF+IH or DF+GH), then the triangles will be congruent by the HL theorem

Can y’all help me with it pls

Can yall help me with it pls

Answers

Answer:

1. D

2. C

3. C, A F

Step-by-step explanation:

here it is!!! remember on the x and y graph, if the same numbers appear on the x line, then it is not a function
Can yall help me with it pls

What's the predicted number of runs for the player with only 86 hits? Show your equations, plugging in the values, and your steps to the solution. (2 points)

Answers

The predicted number of runs for the player with only 86 hits can be calculated using the equation Runs = Hits + Walks - Home Runs. Plugging in the values given, we get: Runs = 86 + Walks - Home Runs. Therefore, the predicted number of runs for the player is dependent on the number of walks and home runs they have.



To solve for the predicted number of runs, we can use the following steps:

Calculate the number of walks by subtracting the number of hits (86) from the total number of plate appearances (number of hits + walks + strikeouts).Calculate the number of home runs by subtracting the number of hits (86) from the total number of home runs.Plug the number of walks and home runs into the equation, Runs = Hits + Walks - Home Runs, to calculate the predicted number of runs.



Therefore, the predicted number of runs for the player with only 86 hits can be calculated by plugging in the values of the number of walks and home runs into the equation Runs = Hits + Walks - Home Runs.

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When an alternating current of frequency f and peak current I_0 passes through a resistance R, then the power delivered to the resistance at time t seconds is P = I^2_0 R sin^2 2 pi ft. Write an expression for the power in terms of csc^2 2 pi ft. P = I^2_0 R/(csc^2 2 pi ft) P = I^2_0 R (csc^2 2 pi ft) P = I^2_0/(1 - csc^2 2 pi ft) P = I^2_0 R(1 - csc^2 2 pi ft)

Answers

The expression for the power delivered to a resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).

According to the given information, the power delivered to a resistance R when an alternating current of frequency f and peak current I_0 passes through it is represented by the equation P = I^2_0 R sin^2 2 pi ft.

To express this equation in terms of csc^2 2 pi ft, we can use the trigonometric identity csc^2 x = 1/sin^2 x. Substituting this identity into the equation, we get P = I^2_0 R (1/sin^2 2 pi ft).

Since csc^2 x is the reciprocal of sin^2 x, we can rewrite the equation as P = I^2_0 R (csc^2 2 pi ft). This expression represents the power delivered to the resistance in terms of csc^2 2 pi ft.

Therefore, the correct expression for the power delivered to the resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).

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HELPPPPPPPP CORRECT ANSWER GET BRAINLIEST

HELPPPPPPPP CORRECT ANSWER GET BRAINLIEST

Answers

Answer:

A. Jake made a mistake in step 2

Step-by-step explanation:

If you subtract a number from one side, you should do the same for the other. In step 2 Jake subtracted 7 from one side but not from another.

how do you find the expected value and standard deviation of a geometric random variable

Answers

In order for the expected value and standard deviation to be well-defined, we must have p > 0. If p = 0, then the geometric distribution is degenerate and always takes the value 0. If p = 1, then the geometric distribution is also degenerate and always takes the value 1.

To find the expected value and standard deviation of a geometric random variable, we first need to understand what a geometric random variable is.

A geometric random variable is a discrete random variable that represents the number of independent Bernoulli trials (i.e., trials that have only two possible outcomes) needed to obtain the first success. The probability of success on each trial is denoted by p, and the probability of failure (i.e., not obtaining a success) is denoted by q = 1 - p.

The expected value (also known as the mean) of a geometric random variable is given by E(X) = 1/p. This means that on average, we expect to perform 1/p independent Bernoulli trials before we obtain the first success.

To find the standard deviation of a geometric random variable, we use the formula:

SD(X) = \(\sqrt {[ (1 - p) / p^2 ]\)

This formula is derived using the variance formula, which is

Var(X) = \((1 - p) / p^2\). The standard deviation is then the square root of the variance.

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Edith is balancing her lawn care business’ check registry. Her initial balance was $5,850.25. She deposited a check for $45.00 and a check for $55.50. Edith then purchased a new rake for $32.65 and spent $17.50 on gas for the lawn mower. What is the balance after the deposits and purchases? $5,900.60 $5,699.60 $150.65 $6,000.90

Answers

A. 5900.60

$5850.25+45.00+55.50-32.65-17.50

Bamboo plants can grow 91 centimeters per day. What is the
approximate growth of the plant, in inches per
hour?

Answers

91 cm/ 2.54 = 35.83 inches


35.83 inches / 24 hours per day = = 1.49 inches per hour


Answer: 1.5 inches per hour

Answer:

1.4928 inches per hour

Step-by-step explanation:

91 cm = 35.827 inches

35.827 inches per day

1 day = 24 hours

25.827/ 24

= 1.4928 inches per hour

Express the confidence interval
left parenthesis 0.008 comma 0.096 right parenthesis(0.008,0.096)
in the form of
ModifyingAbove p with caret minus Upper E less than p less than ModifyingAbove p with caret plus Upper Ep−E

Answers

Modifying Above p with caret minus Upper E less than p less than ModifyingAbove p with caret plus Upper E

where p is the point estimate, and Upper E is the margin of error.


To express the confidence interval (0.008, 0.096) in the form of ModifyingAbove p with caret minus Upper E less than p less than ModifyingAbove p with caret plus Upper E, we first need to find the point estimate (p) and the margin of error (Upper E).

The point estimate is the midpoint of the interval, which is:

p = (0.008 + 0.096) / 2 = 0.052

The margin of error is half the width of the interval, which is:

Upper E = (0.096 - 0.008) / 2 = 0.044

Therefore, the confidence interval can be expressed as:

ModifyingAbove 0.052 with caret minus 0.044 less than p less than ModifyingAbove 0.052 with caret plus 0.044

This means that we are 95% confident that the true population proportion (p) falls within the range of 0.008 to 0.096.

the confidence interval (0.008, 0.096) can be expressed in the form of Modifying Above p with caret minus Upper E less than p less than Modifying Above p with caret plus Upper E as Modifying Above 0.052 with caret minus 0.044 less than p less than Modifying Above 0.052 with caret plus 0.044. This means that we are 95% confident that the true population proportion falls within this range.

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what is the probability that a continuous random variable equals any of its values?

Answers

The probability that a continuous random variable equals any of its values is zero.

A continuous random variable has a zero chance of having any given value. This is because a continuous variable can take on any value within a range, and the probability of any single value is meaningless since the probability of any two values that are infinitely close together is also zero.

The only exception is when the variable is a constant, in which case the probability that it equals its own value is one. For example, if a variable is a constant with the value 5, then the probability that it equals 5 is 1 (or 100%).

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Becky would like to be a millionaire in 45 years. How much would she need to invest in a sinking fund paying a 7​% interest rate compounded to accumulate ​$100,000 in 45 ​years?

Answers

Becky would need to invest approximately $11,621.14 in a sinking fund paying a 7% interest rate compounded over 45 years to accumulate $100,000.

To calculate the amount Becky needs to invest in the sinking fund, we can use the future value formula for compound interest. The formula is:

FV = PV *\((1 + r)^n\)

Where:

FV is the future value (desired amount),

PV is the present value (amount to be invested),

r is the interest rate per period (7% in this case), and

n is the number of compounding periods (45 years).

Rearranging the formula to solve for PV:

PV = FV /\((1 + r)^n\)

Plugging in the given values:

PV = 100,000 / \((1 + 0.07)^45\)

PV ≈ 100,000 /\((1.07)^45\)

PV ≈ 100,000 / 13.237797

Therefore, Becky would need to invest approximately $11,621.14 in the sinking fund to accumulate $100,000 in 45 years. This assumes that the interest rate remains constant, and the interest is compounded annually.

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Figure ABDC is similar to LMPN

Figure ABDC is similar to LMPN

Answers

Answer:

yes it is I but smaller in size

1200p x 1920p width of 12 inches

Answers

Answer:

nice TV

Step-by-step explanation:

Which statement is correct? a. When marginal utility is decreasing, an increasing in the quantity consumed will decrease total utility b. When marginal utility is positive, an increase in the quantity consumed will decrease total utility c. When marginal utility is positive, an increase in the quantity consumed will increase total utility d. When marginal utility is increasing, a decrease in the quantity consumed will increase total utility

Answers

The correct statement is c. When marginal utility is positive, an increase in the quantity consumed will increase total utility.

This is because as long as the marginal utility of each additional unit consumed is positive, the total utility will continue to increase with each additional unit consumed. However, when marginal utility starts to decrease, consuming additional units will result in diminishing returns and eventually lead to a decrease in total utility. The statement in option a is incorrect because an increase in the quantity consumed can still increase total utility if the marginal utility is positive. The statement in option b is also incorrect because if the marginal utility is positive, consuming more will increase total utility, not decrease it. Option d is also incorrect because when marginal utility is increasing, it means that the additional units consumed are providing more utility than the previous ones, so decreasing the quantity consumed will result in a decrease in total utility.

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Evaluate each expression
a. 2: 3 - 4

Answers

-1 it’s just 4-3 but add the negative

5/6 + 5/6 = ?

? = 10/6
10/6= 5/3

Answers

Answer:

10/6 = 10/6

 ↓

1 4/6 = 10/6

Step-by-step explanation:

5/6 + 5/6 = 10/6

                    ↓

                  1 4/6

10/6 ÷ 2 = 5/3

10/6 = 10/6

1 4/6 = 10/6

Pamela buys a chandelier during a 25% off sale. If Pamela pays $39, what was the
original price?

Answers

Answer: 48.75

Step-by-step explanation:

I know that the answer to this equation is 48.75 because 25% of 39 is 9.75.

9.75 + 39 =48.75

so the original price of the chandelier was 48.75

Answer: 48.75 have a good day

The student council is hosting a homecoming event for past graduates and current students. The treasurer determines that the event revenue from the event can be represented by R (z) = 0.05x³75, where x is the number of tickets sold. The cost to put on the event is represented by the function C(z) = 30x + 12,500. Which function describes the funds raised, F(x), as a function of the number of tickets sold? O F(z) F(x) F(x) 0.05³ +30 - 12, 425 F(x) 0.05z³ 30x - 12,425 O = 0.05³ +30 - = 12,575 = 0.05³ 30 - 12,575

Answers

The function that describes the fund that was raised is 0.05³ - 30x - 12425

How to solve for the function

The revenue is  R (z) = 0.05x³ + 75

the cost = C(z) = 30x + 12,500.

Please note that the equation for revenue missed a sign in the question so I made use of the plus sign

We would have revenue - cost

Hence ( 0.05x³ + 75) - (30x + 12,500)

We would open the bracket

0.05x³ + 75 -30x -12500

We would take the like term to

0.05³ - 30x -12500 + 75

0.05³ - 30x - 12425

The function that describes the fund that was raised is 0.05³ - 30x - 12425

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Answer: F(x)=0.05x^3-30x-12,575

Step-by-step explanation:

Correct on test.

How do you find the angle of a slope?

Answers

The amount of ascent, or vertical distance, divided by the run, or horizontal distance, is how slope is commonly expressed as a percentage.

What is the angle of the slope?The angle of slope shows the departure of your climb from the idealistic flat surface of the course (remember, it's an idealized flat surface that ignores elevation change). In order to figure this out, divide the increase by the run and then find the inverse tangent of the outcome.The angle between a horizontal plane and a specific location on the land surface is known as the slope angle (degree).The term "slope" describes the incline's angle or grade. You might have an upward or downhill slope. The amount of ascent, or vertical distance, divided by the run, or horizontal distance, is how slope is commonly expressed as a percentage.

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How can I solve y^2 + 13y + 12?

Answers

\((y + 1)(y + 12)\)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}\)

\( {y}^{2} + 13y + 12 \\ = {y}^{2} + 12y + 1y + 12 \\ taking \: common \: factor \: from \: the \: two \: pairs \\ = y(y + 12) + 1(y + 12) \\ = (y + 1)(y + 12)\)

\(\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}\)

(y+1)(y+12) that’s what I got.

Use the information provided to write the equation of each circle. Photo attached

Use the information provided to write the equation of each circle. Photo attached

Answers

Answer:

( x + 4 )^2 + ( y - 15 )^2 = 1; Option A

Step-by-step explanation:

~ Let us apply the standard circle equation ( x - a )^2 + ( y - b )^2 = r^2, provided r ⇒ radius when centered at point ( a, b ) ~

1. If the center is provided to be ( -4, 15 ) we could substitute this value into the circle equation with variables x and y remaining such:

( x - ( - 4 ) )^2 + ( y - 15)^2 = r^2

2. Simplifying this equation, we have: ( x + 4)^2 + ( y - 15 )^2 = r^2

3. Now by point on the circle, it would be a point on the circumference, to be clear in more mathematical terms. So far we have eliminated two options, with two remain - and each of them has either a radius of 1 or 2. If the point on the circle is ( -4, 16 ) that would mean 1 more than 15, which means that with a radius of 1 ⇒ this point will be on the circle.

Answer: ( x + 4 )^2 + ( y - 15 )^2 = 1

What is (-11,,-27) reflected across the y-axis

Answers

Answer:

On the y- axis everything is postive so it would be (11,27)

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