Follow the steps to find the
area of the shaded region.
First, use the formula
below to find the area
of the whole sector.
Sector Area =
angle of sector
360
tor) πr²
Sector Area = [?] cm²
Round to four decimal places.
14 cm
46°
14 cm

Answers

Answer 1

The area of the shaded part is 8.1447cm²

Area of a sector

The formula to calculate the area of the shaded region is expressed as:
Area of the shaded region = Area of sector - Area of triangle

Determine the area of the sector

Area of sector = r²β/2

Area of sector = 14²(46π/180)/2

Area of sector = 78.64 cm²

Determine the area of triangle

Area of triangle = 1/2r²sinβ

Area of triangle = 1/2(14²sin46)

Area of triangle = 140.99/2

Area of triangle = 70.49 cm²

Area of shaded part = 78.64 cm² - 70.49 cm²

Area of shaded part = 8.1447cm²

Hence the area of the shaded part is 8.1447cm²

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Related Questions

On Sunday, there were 22 inches of snow. The weather finally began to warm up and by Monday afternoon there were 19 inches. Then on Tuesday, there were 16 inches. If the snow continues to melt the same number of inches every day complete the equation to model the snowmelt if d represents the number of days after Sunday.

Answers

Answer:

22-3d=x

Step-by-step explanation:

where d is the days that it melts and the amount of snow x is the snow that is left.

determine domain and range from graph

Answers

Domain: (-∞,∞)

Range: (-∞,-3]

Step-by-step explanation:

A quadratic equation graphs a parabola. Therefore there will be arrows on the bottom of the graph as it will go down forever. The domain (min x-values to max x-values) is

(-∞,∞) because the graph keeps on going down and to the right and left. The range (min y-values to max y-values) is (-∞,-3] because the lowest y-value the graph goes to is -∞ nd the highest y-value is -3.

A sub sandwich shop offers 12 toppings to choose from. How many ways could a person choose a 4-topping sandwich?
HELPPPPPP

Answers

Using the combination formula, it is found that there are 495 ways to choose a 4-topping sandwich.

The order in which the toppings are chosen is not important, hence the combination formula is used to solve this question.

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

4 toppings are chosen from a set of 12, hence the number of ways is given by:

[tex]C_{12,4} = \frac{12!}{4!8!} = 495[/tex]

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the answer to this question

Answers

I think it should be C. The y in f(x) is getting bigger and the graph g is decaying(decreasing)

7. A bag of M&Ms is dumped on the table and you count 82 blue pieces. Approximately how many M&Ms do you expect to be in the entire bag based on the proportions of the entire class? Round to nearest whole M&M
Show calculation and answer

Answers

The expected number of M&M's in the bag is 308

How to determine the number of blue pieces?

The parameters that complete the question are:

Number of blue pieces = 4

Total = 15

From the question, the number of blue pieces is:

Blue = 82

Let the total number of M&M be M.

So, we have:

Blue = Number of blue/Total * M

This gives

82 = 4/15 * M

Multiply both sides by 15/4

15/4 * 82 = M

Evaluate

M = 307.5

Approximate

M = 308

Hence, the expected number of M&M's in the bag is 308

Answers

Answer:

We know that

The costs of repair for each of the four crashes were

$2529, $1889, $2610, $1073

Here we have to compute the mean, median, and mode cost of repair.

Mean = total cost

the no of crashes

Mean = $2529 + $1889 +$2610 +$1073

Mean = $2025.25

Therefore the mean = 2025.25

Then we have to find median.

Now first we have to arrange the data in ascending order (smallest to highest).

$1073,$1889,$2529,$2610

Add the two middle numbers and then divide by two, to get the average:

$1889+$2529 = $4418

Median = $4418/2 = $2209

Therefore the median = $2209

Here there is no mode cost.

THE
^
Solve: x=4+(4x-4)
O
O
O
x = 2
x = 10
x = 2 or x = 10
Ono real solution
DONE

Answers

Answer: x=0

Step-by-step explanation:

[tex]x=4+(4x-4)\\\\x=4+4x-4\\\\x=4x\\\\3x=0\\\\\boxed{x=0}[/tex]

The solution to the equation x = 4 + (x + 4) is 0.

The correct option is "one real solution".

What is an equation?

Two algebraic expressions having the same value and symbol '=' in between are called an equation.

Expanding the expression on the right-hand side, we have:

x = 4 + (4x - 4)

x = 4x

Subtracting 4x from both sides, we get:

x - 4x = 0

-3x = 0

Dividing both sides by -3, we get:

x = 0

Therefore, there is one solution to the equation x = 4 + (4x - 4) as the equation simplifies to 0.

So the correct answer is 0, "one real solution".

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50% of 42 students are girls. How many of the students are girl's

Answers

Answer:

21 girls.

Step-by-step explanation:

50% of 42 students are girls.

So 42/2 = 21.

Therefore 21 of the students are girls.

Hope I helped

Each of the integers 1-25 is written on an individual card and placed in a hat. You
randomly draw a card. How many favorable outcomes are there for choosing a card
with an odd number?
Ο Α. 2
OB. 11
O C. 13
OD. 25

Answers

Answer:

Step-by-step explanation:

Comment

If you know this formula

tn = t1 + (n - 1)*d then you don't even have to count how many odd numbers there are. If you don't know the formula, then you have to count how many odds there are between 1 and 25 inclusive. Just to save you the trouble, there are 13.

Givens

1 = t1

25 = tn

d = 2

Solution

25 = 1 + (n - 1)*2 Subtract 1 from both sides?

25-1 = 1-1 + (n - 1)*2 Combine

24 = (n - 1) * 2 Divide by 2

24/2 = (n - 1)*2/2

12 = n - 1 Add 1 to both sides

12 + 1 = n - 1 + 1 Combine

13 = n

Answer

So you have 13 cards that will bring success.

You are given that cos(A)=−5/13, with A in Quadrant II, and sin(B)=7/25, with B in Quadrant II. Find cos(A+B). Give your answer as a fraction.

Answers

The value of cos(A+B) is 36/325.

What is Trigonometry?

The branch of mathematics concerned with specific functions of angles and their application to calculations.

Given:

cos(A)=−5/13

sin(B)=7/25

Now Using identity,

sin²A + cos² A= 1

sin A= √1 - cos² A

sin A = √1- 25/169

sin A= √144/169

sin A= 12/13

Again,

sin²B + cos² B= 1

cos B= √1 - sin² B

cos B = √1- 49/625

cos B= √576/625

cos B= -24/25

Now,

cos (A +B) = cos A cos B - sin A sin B.

= -5/13* (-24/25) - 12/13* 7/25

= 120/325 - 84/325

= 36/325

Hence, the value of cos (A + B) is 36/325.

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Does this graph show a function explain how you know

Answers

The correct option is Option D: Yes, the graph passes the vertical line test.

The function is a relationship between two distinct sets X and set Y which can be many-one or one-one. here set X is called the domain and set Y is called the codomain.

The vertical line test states that

If we draw a straight vertical line( which is also parallel to the y-axis) and it touches the graph at only one point at all locations, then that relation is said to be a function and this relation will be also one-one.

So here in this function shown in the graph.

If we draw a vertical line parallel to the y-axis in this at any location then it crosses the graph only once. So, it passes vertical line test. And this graph is a function. Therefore option D is correct.

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5. Identify the sign of the leading coefficient and describe the end behaviour. Using this
information, decide if each function is cubic or quartic.

Answers

The sign of the leading coefficient can be found using the graph of a polynomial function.

What is polynomial?

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have given the graph of polynomial functions:

In the first graph:

The leading coefficient is positive.

x → ∞, f(x) → ∞

x → -∞, f(x) → -∞

Degree of a function = 3

In the second graph:

The leading coefficient is negative.

x → ∞, f(x) → -∞

x → -∞, f(x) → -∞

Degree of a function = 4

In the third graph:

The leading coefficient is positive.

x → ∞, f(x) → ∞

x → -∞, f(x) → ∞

Degree of a function = 4

In the fourth graph:

The leading coefficient is negative.

x → ∞, f(x) → -∞

x → -∞, f(x) → ∞

Degree of a function = 3

Thus, the sign of the leading coefficient can be found using the graph of a polynomial function.

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X= ABC+ AB+ ABC Simplify followings

Answers

Answer:

X = ABC+ AB+ ABC

X = AB(C+1+C)

X = AB(2C+1)

if n × 18 = ½ find n

Answers

n=1/2/18
n=1/2 multiplied 1/18
n=1/36

Answer:

n = [tex]\frac{1}{36}[/tex]

Step-by-step explanation:

n × 18 = [tex]\frac{1}{2}[/tex]

To find the value of n we have to divide both sides by 18.

Let us solve it now.

18n = [tex]\frac{1}{2}[/tex]

[tex]\frac{18n}{18}[/tex] = [tex]\frac{1}{2}[/tex] ÷ 18

n = [tex]\frac{1}{2}[/tex] ÷ 18

n = [tex]\frac{1}{2}[/tex] ÷ [tex]\frac{18}{1}[/tex]

n = [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{18}[/tex]

n = [tex]\frac{1}{36}[/tex]

Evaluating a piece-wise function. 10 pts

Answers

1. Since -4 doesn’t equal -2, we will use the first function. All you have to do is plug in -4 to x, and you should get

-3

2. -2=-2, so we will use the second function to get the answer of

3

3. Once again we will be using the first function, so just plug 5 into the answer to get

-7.5

Hope this helped :)

At the beginning of a snowstorm, Amadou had 2 inches of snow on his lawn. The snow then began to fall at a constant rate of 0.5 inches per hour. Assuming no snow was melting, how much snow would Amadou have on his lawn 4 hours after the snow began to fall? How much snow would Amadou have on his lawn after tt hours of snow falling

Answers

Answer:

4 inches

Step-by-step explanation:

Given information:

2 inches of snow on the lawnRate of snow falling = 0.5 inches per hourSnow did not melt

Let y = height of snow on the lawn

Let t = time in hours

⇒ y = 2 + 0.5t

To find how much snow is on the lawn after 4 hours of snowing, substitute t = 4 into the found equation and solve for y:

⇒ y = 2 + 0.5(4)

⇒ y = 2 + 2

⇒ y = 4 inches

Therefore, Amadou will have 4 inches of snow on his lawn after 4 hours of snow falling.

After 4 hours of continuous snowfall at a rate of 0.5 inches per hour, Amadou would have 4 inches of snow on his lawn. After t hours of snow falling at the same rate, he would have 2 + 0.5t inches of snow on his lawn.

After 4 hours of snow falling at a constant rate of 0.5 inches per hour, Amadou would have:

Snow accumulation = Initial snow + (Snowfall rate × Time)

Snow accumulation = 2 inches + (0.5 inches/hour × 4 hours)

Snow accumulation = 2 inches + 2 inches

Snow accumulation = 4 inches of snow.

After t hours of snow falling, the amount of snow on Amadou's lawn would be:

Snow accumulation = Initial snow + (Snowfall rate × Time)

Snow accumulation = 2 inches + (0.5 inches/hour × t hours)

Snow accumulation = 2 + 0.5t inches of snow.

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need help with this question

Answers

The local maximum of the equation y = x³ - 5x + 2 is y = 6.3 which occurs at x = -1.29

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

y = x³ - 5x + 2

The maximum is at dy/dx = 0, hence:

3x² - 5 = 0

x = -1.29 or x = 1.29

y = (-1.29)³ - 5(-1.29) + 2 = 6.3

The local maximum of the equation y = x³ - 5x + 2 is y = 6.3 which occurs at x = -1.29

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Which functions have a vertex with a x-value of 0? Select three options.

f(x) = |x|
f(x) = |x| + 3
f(x) = |x + 3|
f(x) = |x| − 6
f(x) = |x + 3| – 6

Answers

Answer:

f(x) = |x|f(x) = |x| + 3f(x) = |x| − 6

Answer:

A,B,D

Step-by-step explanation:

Please SHOW THE WORK. How many miles are in 10 kilometers?

Answers

Well that depends on if you use an estimation, but I will use the exact number.

There are .621371192237 miles per kilometer, so multiply by ten and you get 6.21371192237 miles.

[15 PTS] PLS HELP!!!

What is the end behavior of the function?

Answers

The correct answer is the fourth option.

What are the zeros of the quadratic function f(x)=6x^2+12x-7?

Answers

The zeroes of the quadratic function f(x) = 6x² + 12x – 7 will be given below. Then the correct option is A.

What is a quadratic function ?

The quadratic function is given as ax² + bx + c = f(x).

For finding the zeroes of the polynomial we have to find the roots of the polynomial , The value of f(x) = 0

The given function is f(x) = 6x² + 12x – 7

Then the zeroes of the quadratic function will be

[tex]roots = \dfrac {-b \pm \sqrt{b^2 -4ac}}{2a}\\\\[/tex]

Here a =6 , b = 12 ,c = -7

Therefore the zeroes are

[tex]\rm roots = \dfrac {-12 \pm \sqrt{12^2 -4 * 6 * (-7)}}{2 *6}\\\\[/tex]

[tex]\rm root_1 = -1 + \sqrt{\dfrac {13}{6}}\\\\\rm root_2 = -1 - \sqrt{\dfrac {13}{6}}[/tex]

Therefore the correct option is A.

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A surgery has a success rate of 75%. Suppose that the surgery is performed on 4 patients. What is the probability that the surgery is successful on exactly 3 patients?

Answers

0.21094 is the probability that the surgery is successful on exactly 3 patients.

What is probability?

It is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

According to the given question,

Let Y = The number of patients who respond yes: [tex]Y - Bin (n,p)[/tex]

Given , [tex]n = 4 , p = 0.75 , q = 1 - p = 0.25[/tex]

[tex]P (Y = 3) = \left(\begin{array}{ccc}4\\3\\\end{array}\right) (0.75)^{2}(0.25)^{4-3} \\ = 0.21094\\\\[/tex]

The probability that the surgery is successful on exactly 3 patients is 0.21094

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The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. The height of the water will be 2 inches when the pool is filled. help me

Answers

Answer:

The height of the water increases 2 inches per minute.

Step-by-step explanation:

the slope is always the ratio of

y coordinate change / x coordinate change

in our case, x is the time (minutes), and y is the water height (inches).

we see, the longer the pool get filled, the higher the water gets. logical, right ?

by checking the data points we see :

with every 2 minutes passing the water height increases by 4 inches.

so, the slope is +4/+2 = 2/1 = 2

and that ratio tells us now the increase of the water height with every fraction or multiple of the measured 2-minute interval.

every 2 minutes 4 inches more.

so, e.g. every 3×2 = 6 minutes we get 3×4 = 12 inches more.

and - every 1/2 × 2 = 1 minute more we get 1/2 × 4 = 2 inches more.

Evaluate and simplify the expression when a=4 and b=-1 5 - 2(a + 3b)/2

Answers

Answer:

Step-by-step explanation:

We know that [tex]a = 4[/tex] and [tex]b = -1[/tex], as they are given in the problem. All we have to do is plug them into the equation and solve it.

[tex]5 - 2(a + 3b)/2\\ = 5 - 2(4 -3)/2\\= 5 - 1\\= 4[/tex]

Use the Pythagorean Theorem to find the length of the leg in the triangle shown below.

The figure shows a right triangle with one leg marked 12. The hypotenuse is marked 15.

Answers

Answer:

Step-by-step explanation:

a^2+b^2=c^2

a^2+12^2=15^2

a^2=225-144

a=sqrt(81)

a=9

Shawn is collecting money from students at his school for a charity. The table gives the ratios of the number of students who have donated and the amount of money he has collected from them. Complete the table to form equivalent ratios.

Answers

In order of blank boxes going from left to right then down will be 1, 9, 5, 75, 35.

The missing table is given below.

What are ratio and proportion?

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

Shawn is collecting money from students at his school for a charity.

The table gives the ratios of the number of students who have donated and the amount of money he has collected from them.

Since 30 is 1/3 of 90, we know the ratio is 1:3.

In order of blank boxes going from left to right then down

1, 9, 5, 75, 35

The complete table is attached below.

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can i charge my hp laptop more than 1000 times

Answers

yes you can do best of luck

6. Five years ago, Ross was N times as old as
Amanda was. If Amanda is now 19 years old,
how old is Ross now in terms of N?

Answers

Answer:

14N+5

Step-by-step explanation:

Five years ago; Rose Nx

Amanda x

Now; Rose Nx+5

Amanda x+5=19

x=19-5=14years

Rose(NOW) =14N+5

urgent help needed algebra 2

Answers

The solution of the given equation (x + 5) - ( 2x - 3) = 6 is 2.

What is a linear equation?

A linear equation is an equation that has the variable of the highest power of 1.

The standard form of a linear equation is of the form Ax + B = 0.

The given equation is;

(x + 5) - ( 2x - 3) = 6

To solve;

(x + 5) - ( 2x - 3) = 6

Distribute the negative;

(x + 5) - 2x + 3 = 6

we need to get the like terms together;

x - 2x + 5+ 3 = 6

-x + 8 = 6

Subtract 8 from both sides, we get;

-x = -2

x = 2

Hence, the solution of the given equation is 2.

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Christine splits 4/5 pounds of candy with 5 people. What is the unit rate in pounds per person. In simplest form

Answers

Answer:

4/25

Step-by-step explanation:

4/5 ÷ 5 = 4/5 × 1/5 = 4/25

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What is the distance between the points (4, 5) and (10, 13) on a coordinateplane? n studying the sampling distribution of the mean, you were asked to list all the different possible samples from a small population and then find the mean of each of them. Consider the following: Personal phone calls received in the last three days by a new employee were 2, 4, and 7. Assume that samples of size 2 are randomly selected with replacement from this population of three values. What different samples could be chosen? What would be their sample means? Since each myofibril is attached at either end of the muscle fiber, when sarcomeres shorten, the muscle fiber. Someone pls help I dont really understand graphing LK2(x+2y-x-12y+3);When 2(5401x + 2 y +6Ox+2y+607x+8y+60176x+4y+3is simplified, what is the resulting expression? The two similes in the passage present an image of Odysseus aselderly but lively.battered but unruffled.dirty but amusing.needy but rude. The arteries a. serve as rapid-transit passageways from the heart to the organs because of their large radii b. act as a blood reservoir because they have the capacity to store large volumes of blood with little change in their internal pressure c. are the major sites of blood flow resistance in the vasculature d. are the site of exchange between the blood and surrounding tissues e. none of these Jordan and Taylor are collecting canned foods for the homeless. They hope to collect 10 cans per day to reach their goal. They have already collected 120 cans. If thefunction for this problem is f(c) = 10r+120, determine how many cans Jordan and Taylor will have collected after 8 days. How are adoption studies used to learn more about the impact of biological and environmental factors?Participants share a genetic code but grow up in different home environments so researchers can study the impact of environmental factors.Participants share the same home environment but do not share the same genetic code so researchers can study the impact of biological factors.Participants share neither a home environment nor genetic code so researchers can study the impact of factors other than biological and environmental factors.Participants share both the same home environment and genetic code so researchers can study the impact of both biological and environmental factors at once. The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.Who is the intended audience for this passage?Reading Ecommunity membersBig Oaks Park rangersfriends of Chad Pregrackegovernment agenciesSubmitPassDon't know answer21 It was aone person2 A harshhues of gredecided toBoswell isa greenbell20 yards on What is the formula for finding the area of abc? Find the least number which when divided by 12, 18 and 20 leaves no reminder. Question 11.1 Discuss five (5) requirements that the teacher should consider when selecting areading text for learners in Grades 7 to 9 Which of the following statements must be true about parallelogram ABCD? A) angle B+ angle D=180^ B) angle ABC cong angle CDA C) overline AC || overline BD D) overline BC cong overline CD Write the slope-intercept form of the line that has a slope of 2 and intersects the line, 2X - 3Y = 6 at X = 3 I am a nine digit number. my tens place is 2. ones place is 3 more than tens place . hundreds place is between 7 and 9. ten thousands place is 3 multiplied by tens place . lakhs place is successor of tens place. ten lakhs place is predecessor of hundreds place . crores place is between 8 and 10. ten crores place is 7 more than tens place. what number am i *HELP**NEEDS IT RIGHT NOW*Without using a calculator, match each expression to the correct point. A regular polygon has n sides. How many pairs of parallel sides does the polygon have if:a) n is odd?b) n is even? Mrs. Hilt owns a house on a lot shaped like a rectangle. The perimeterof the lot is 60 feet. What is the length and the width of the lot? Eric pours some iced tea into a glass. When he puts the iced tea in the glass, the energy of the glass decreases. What must be true of the energy of the iced tea?

Follow the steps to find the area of the shaded region. First, use the formula below to find the area of the whole sector. Sector Area = angle of sector 360 tor) πr² Sector Area = [?] cm² Round to four decimal places. 14 cm 46° 14 cm

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Follow the steps to find the
area of the shaded region.
First, use the formula
below to find the area
of the whole sector.
Sector Area =
angle of sector
360
tor) πr²
Sector Area = [?] cm²
Round to four decimal places.
14 cm
46°
14 cm