Find the area of the sector of the circle Radius. 7kmCentral angle. 2pi over 3
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Find The Area Of The Sector Of The Circle Radius. 7kmCentral Angle. 2pi Over 3Show Steps

Answers

Answer 1

9514 1404 393

Answer:

  51.3 km²

Step-by-step explanation:

The area formula is ...

  A = 1/2r²θ . . . . where θ is the central angle in radians

  A = 1/2(7 km)²(2π/3) = 49π/3 km² ≈ 51.3 km²


Related Questions

Which of the following tables represent functions? If the relation is not a function, indicate why it is not.

Answers

Step-by-step explanation:

1. the table on the left is a function, with the formula : y = x²

2. the table on the right is also a function, indicated by the values of the input are different each others

What is the value of the expression?

3 * [(2 * 6 - 5) + (8 divided by 4)] - 1

A. 9
B. 11
C. 26
D. 32
Show Work!

Answers

[tex]3\cdot[(2\cdot6-5)+(8:4)]-1=\\\\=3\cdot[(12-5)+2]-1=3\cdot(7+2)-1=\\\\=3\cdot9-1=27-1=\boxed{26}[/tex]

Can someone help me with this one pleaseee!!!!

Answers

g(-4) = 1/3 x (-4)^2 - 5 = 1/3 x 16 - 5 = 16/3 - 15/3 = 1/3

g(-2) = -2

g(0) = 1/3 x 0^2 - 5 = -5

Name a point that is coplanar with points H, D, and A.
E
F
P
B

Answers

the answer for that question is P

99. Savings Bronwyn wants to buy a house, so she has decided
to save one quarter of her salary. Bronwyn earns $47.00 per hour
and receives an extra $28.00 a week because she declined
company benefits. She wants to save at least $550.00 each week.
How many hours must she work each week to achieve her goal?

Answers

Answer:

46.5 hours per week

Step-by-step explanation:

At least 550 a week.

Which is 1\4 of Bronwyn salary.

550 x 4 = 2200

To find minimum work hours

2200-28 = 2172

2172 \ 47 = 46.212 hours per week

So, bronwyn needs to work at least 46.5 hours per week

Answer:

Bronwyn must work nearly 47 hours each week to achieve her goal.

Step-by-step explanation:

Let x be the number of hours Bronwyn works per week.

If Bronwyn earns $47 per hour, if x is the number of hours she works per week and if Bronwyn earns $28 per week because she declined company benefits, lets assume that the left hand side of the equation is:

[tex]47x + 28[/tex]

Now onto the salary. Since Bronwyn wants to save $550 each week and since she also wants to save one quarter of her salary, her salary becomes $2200 for each week she works

Making the equation...

[tex]47x + 28 = 2200[/tex]

Time to solve for x

[tex]47x = -28 + 2200\\47x = 2172\\x = 46.2[/tex]

Since its at least, you can round it up to 47 making 47 the number of hours she must work each week to achieve her goal.

What is the decimal equivalent for a centimeter?

Answers

the answer is 0.1 an inch is 1 so a centimeter is 0.1

Several probability expressions for a normal distribution are provided below. Drag the correct percentage to each probability expression.
Items
a. 68%
b. 47.5%
c. 13.5%
d. 2.5%
Category
1) P(?-2??x??)
2) P(?-??x??+?)
3) P(?+2??x)
4) P(?-2??x??-?)

Answers

The appropriate distribution of the percentages are :

P(μ-2σ≤x≤μ) = 47.5%

P(μ-σ≤x≤μ+σ) = 68%

P(μ-2σ≤x) = 2.5%

P(μ-2σ≤x≤μ-σ) = 13.5%

For a normal distribution :

The mean, μ = 0

The mean, μ = 0The standard deviation, σ = 1

Therefore :

P(μ-2σ≤x≤μ) = P(x≤μ) - P(x≤μ-2σ)

P(x≤μ) - P(x≤μ-2σ)

P(Z ≤ μ) - P(Z ≤ 2(1))

P(Z ≤ 0) - P(Z ≤ 2)

Using the normal distribution table :

0.5 - 0.02275 = 0.47725 = 47.725% (approximately 47.5%)

P(μ-σ≤x≤μ+σ) = P(x≤μ-σ) - P(x≤μ+σ)

P(x≤μ+σ) - P(x≤μ-σ)

P(Z ≤ μ+σ) - P(Z ≤ μ-σ)

P(Z ≤ (0+1) - P(Z ≤ 0-1)

P(Z ≤ 1) - P(Z ≤ - 1)

Using the normal distribution table /

0.84134 - 0.15866 = 0.68268 = 68.268% = (approximately 68%)

P(μ-2σ≤x) = P(μ-2σ)

P(Z ≤ μ-2σ) = P(Z ≤ (0 - 2(1))

P(Z ≤ - 2) = 0.02275 = 2.275% = (approximately 2.5%)

P(μ-2σ≤x≤μ-σ) = P(x≤μ-σ) - P(x≤μ-2σ)

P(x≤μ-σ) - P(x≤μ-2σ)

P(Z ≤ μ-σ) - P(Z ≤ μ-2σ)

P(Z ≤ (0-1) - P(Z ≤ 0-2(1))

P(Z ≤ -1) - P(Z ≤ -2)

From normal distribution table :

0.15866 - 0.02275 = 0.13591 = 13.59% = approximately 13.5%

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Mrs. Harris treated her 1st period with donuts for averaging the highest on the midterm exam. She bought 25 donuts, By the end of the period, there were 3 donuts remaining. What is the percent decrease?

Answers

Answer:

join me on no comments yet the story is about to the turf and a bagane and pinni geting step by step explanation friendship is not working properly and the story of a y I have a mantra and sister about your self and the story of the story is a bagane unda and the story and the portion of the story of the story of the story is about the event of a y you know if

solve the equation 6 = 5 x -2

Answers

Answer:

8/5 = x

Step-by-step explanation:

6 = 5x - 2

~Add 2 to both sides

8 = 5x

~Divide 5 to both sides

8/5 = x

Best of Luck!

A man bought a car for Naira 120000 and later sold it at a loss of 6%calculate the selling price​

Answers

Answer:

7200

Step-by-step explanation:

Formula: Loss = C.P. – S.P. Remember: Loss or Profit is always computed on the cost price.

6% of 120000=7200

what is 63 divided by 1000

Answers

Answer:

0.063

Step-by-step explanation:

Answer:
0.063

Hope it helps:

You have 24 quarts of brown stock you need .75 cups to make one serving of braised short ribs. How many can you make?

Answers

Answer:128

Step-by-step explanation:

1 quart= 4 cups

You have 24 quarts

24x4=96

96/0.75=128

Find an equation of the set of all points equidistant from the points
A(−2, 6, 3) and B(5, 3, −3).

Answers

We need to find the equation which is equidistant to the given points.

[tex]A(-2,6,3)[/tex] and [tex]B(5,3,-3)[/tex]

This can be done using the distance formula.

Let us take a point [tex]P(x,y,z)[/tex] which is equidistant from both points so

[tex]\sqrt{(x+2)^2+(y-6)^2+(z-3)^2}=\sqrt{(x-5)^2+(y-3)^2+(z+3)^2}\\\Rightarrow y^2-12y+x^2+4x+z^2+49-6z=y^2-6y+x^2+z^2+6z+43-10x\\\Rightarrow 7x-3y-2z+1=0[/tex]

The required equation is [tex]7x-3y-2z+1=0[/tex]

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Identify which of the twelve basic functions listed below fit the description given.
y = x, y = x2, y = x3, y = , y = , y = ex, y = , y = ln x, y = sin x, y = cos x, y = int (x), y = 1/1+e-x
The two functions with infinitely many zeros

Answers

Try this option:

only periodical functions have many zeros, that is why y=sinx and y=cosx are the correct answer.

The functions y = x and y = x³ have infinitely many zeros. These functions pass through the origin and have a unique property that allows them to intersect the x-axis an infinite number of times.

The two functions with infinitely many zeros from the given list of twelve basic functions are y = x and y = x³

The function y = x has infinitely many zeros because any value of x that equals zero will result in y also being zero.

In other words, for every x value of 0, the corresponding y value is also 0.

This makes the function pass through the origin (0, 0) and have an infinite number of zeros.

2. The function y = x³ also has infinitely many zeros because the cube of any real number is zero if and only if the number itself is zero.

This means that for every x value of 0, the corresponding y value is also 0. Hence, the function y = x³ passes through the origin (0, 0) and has an infinite number of zeros.

In summary, the functions y = x and y = x³ have infinitely many zeros. These functions pass through the origin and have a unique property that allows them to intersect the x-axis an infinite number of times.

To know more about functions here

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#SPJ2

brainiest to whoever right

Answers

Answer:

Area of a triangle

Step-by-step explanation:

1/2bh is used to find the area for a triangle

100 10 times as much as ___ of

Answers

Answer:

1 thousand

Step-by-step explanation:

1 ten = 10 x 1 one (Read, as “1 ten is 10 times as much as 1 one.”) 1 hundred = 10 x 1 ten (Say, “1 hundred is 10 times as much as 1 ten.”) 1 thousand = 10 x 1 hundred (Say, “1 thousand is 10 times as much as 1 hundred.”)i hope im right

Chase thought that only 23 people would come to the banquet, but 48 people ended up coming. What was his percent error?

Answers

Answer:

The answer is 52%

ssmoga membantu

10 pounds of egg whites. You have 6 ounces to make one serving. How many servings can you make?

Answers

10 pounds equals 160 ounces . So 160 divided by 6 equals 26.666
The answer is you can make 26 servings

multiply 18/-57 and 7/6​

Answers

Answer:

-7/19

Step-by-step explanation:

First simplify the fractions. 18/-57= -6/19.

-6/19x7/6=-42/114

-42/114=-7/19

I hope this helps! I also put it into an online calculator to make sure it is right and it is!

Integration of x+4/(x+2)"2

Answers

Answer:

is this u want?

Step-by-step explanation:

if no so sorry..

QUESTION 1 11 How does the term quartile relate to how data values are grouped when using a five- number summory?​

Answers

Data from the Bureau of Labor Statistics has been put into order by placing data in the lower and upper quartiles. If data are placed in order, then the lower quartile is central to the lower half of the data and the upper quartile becomes central to its upper half.

what is the value of this rectangular prism 4/5 3/2 5/3​

Answers

Answer:

2

Step-by-step explanation:

the volume of the rectangular prism =

4/5 × 3/2 x 5/3 = (4×3×5)/(5×2×3)

= 60/30 = 2

L=4/5B=3/2H=5/3

[tex]\\ \rm\longmapsto Volume=LBH[/tex]

[tex]\\ \rm\longmapsto Volume=\dfrac{4}{5}\times \dfrac{3}{2}\times \dfrac{5}{3}[/tex]

[tex]\\ \rm\longmapsto \dfrac{60}{30}[/tex]

[tex]\\ \rm\longmapsto 2units^3[/tex]

Songs on a band's set list are an example of which type of data?
Answer
O Discrete
O Continuous
O Neither

Answers

Here we want to see which type of set is a band's setlist.

We will see that it is a discrete set.

We can define two types of sets

Continue sets are those, like the name implies, continuous (or dense). Examples can be the set of real numbers.

Discrete sets are those that have "gaps" between consecutive elements. For example, the integer set is a discrete set. Particularly, discrete sets can be quantized (counted).

Now, we have a list of songs, that can be written as:

L  = {song 1, song 2, song 3, ...}

Here we can see that we have separated elements. Thus, this is a discrete set. This happens because we clearly can separate the element "song 1" from "song 2" (there may be a lapse of time between them, defining the end of the first one), so we have the "gaps" mentioned above.

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how to find endpoint? please give good explanation ​

Answers

Answer:

(-11 , -16)

Step-by-step explanation:

The midpoint will always be, as the term suggests, in the middle of the line segment. You simply need to find the distance for both x & y, and to apply that to the midpoint. In this case:

Endpoint (x₁ , y₁): (5 , 10)

Midpoint (x₂ , y₂): (-3 , -3)

Note that when finding distance, you will subtract the point₂ from point₁:

x: 5 - (-3) = 8

y: 10 - (-3) = 13

Therefore, each time you plot another point, you will be subtracting 8 from the x value, and 13 from the y value:

Endpoint (x₃ , y₃) = Midpoint (-3 , -3) + (_ - 8 , _ - 13) = (-11 , -16)

(-11 , -16) is your answer.

~

Let other endpoint be (x2,y2)One endpoint(5,10)Midpoint(-3,-3)

Using midpoint formula

[tex]\boxed{\sf (x,y)=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)}[/tex]

[tex]\\ \rm\longmapsto (-3,-3)=\left(\dfrac{5+x_2}{2},\dfrac{10+y_2}{2}\right)[/tex]

Firstly

[tex]\\ \rm\longmapsto \dfrac{5+x_2}{2}=-3[/tex]

[tex]\\ \rm\longmapsto 5+x_2=2(-3)=-6[/tex]

[tex]\\ \rm\longmapsto x_2=-6-5[/tex]

[tex]\\ \rm\longmapsto x_2=-11[/tex]

Now

.[tex]\\ \rm\longmapsto \dfrac{10+y_2}{2}=-3[/tex]

[tex]\\ \rm\longmapsto 10+y_2==2(-3)[/tex]

[tex]\\ \rm\longmapsto 10+y_2=-6[/tex]

[tex]\\ \rm\longmapsto y_2=-6-10[/tex]

[tex]\\ \rm\longmapsto y_2=-16[/tex]

Hence the coordinates are

(x2,y2=(-11,-16)

Which of the following is equal to 3 * 2 + 4 * 5?

Answers

Answer:

= 26

Step-by-step explanation:

... 3 × 2 + 4 × 5 ...

6 + 20

26

Find the midpoint of the segment with the given endpoints.
(-7, -9) and (-2,7)

Answers

Answer:

(-9/2,-1)

Step-by-step explanation:

Use the midpoint formula to find the midpoint of the line segment.

giải các phương trình vi phân sau
y' - y/x+1 = 2

Answers

It looks like the differential equation is

[tex]y'-\dfrac y{x+1}=2[/tex]

Multiply both sides by 1/(x + 1) :

[tex]\dfrac{y'}{x+1}-\dfrac y{(x+1)^2} = \dfrac2{x+1}[/tex]

The left side is now a derivative of a product,

[tex]\left(\dfrac y{x+1}\right)' = \dfrac2{x+1}[/tex]

Integrate both sides with respect to x :

[tex]\dfrac y{x+1} = 2\ln|x+1|+C[/tex]

Solve for y :

[tex]y = 2(x+1)\ln|x+1| + C(x+1)[/tex]

PLEASE HELP

-10+7/4p=-38

Show your work in details if you can, I have a hard time understanding this.

Answers

Answer:

Here is your answer . Hope it helps you

Answer:

p = -49

Step-by-step explanation:

-10 + 7/4p = -38

+7/4 p = -38 + 10. ..........(-10 taken to other side)

+7/4 p = -28

p = -28 × 7/4 ........( now taken 7/4 to other side)

p = -196/4 .......(here we have multiplied . (-28×7 )

p = -196/4

p = -49

so p = -49

MARK AS BRAINLIST IF IT IS USEFUL

A store is having a sale on jelly beans and trail mix. For 7 pounds of jelly beans and 9 pounds of trail mix is a total of $42. For 5 pounds of jelly beans and 3 pounds of trail mix is a total of $24. Find the cost for each pound of jelly beans and each pound of trail mix?

Answers

Answer:

One pound of jelly beans costs $3.75.

One pound of trail mix costs $1.75.

Step-by-step explanation:

Let [tex]x[/tex] be equal to one pound of jelly beans.

Let [tex]y[/tex] be equal to one pound of trail mix.

1) Form equations

We're given:

7 pounds of jelly beans + 9 pounds of trail mix = $42

⇒ [tex]7x+9y=42[/tex]

5 pounds of jelly beans + 3 pounds of trail mix = $24

⇒ [tex]5x+3y=24[/tex]

Now, we have our two equations:

[tex]\displaystyle\left \{ {{7x+9y=42} \atop {5x+3y=24}} \right.[/tex]

2) Solve for x using elimination

[tex]\displaystyle\left \{ {{7x+9y=42} \atop {5x+3y=24}} \right.[/tex]

Multiply the second equation by 3 to change 3y to 9y:

[tex]5x+3y=24\\3(5x+3y)=3(24)\\15x+9y=72[/tex]

Subtract the first equation from the second to eliminate y:

[tex]15x+9y=72\\- 7x+9y=42\\\rule{2.5cm}{0.4pt}\\8x=30[/tex]

Divide both sides by 8 to isolate x:

[tex]\displaystyle x=\frac{30}{8} \\\\x=3.75[/tex]

Therefore, one pound of jelly beans costs $3.75.

2) Solve for y using substitution

[tex]\displaystyle\left \{ {{7x+9y=42} \atop {5x+3y=24}} \right.[/tex]

Now, we know that x=3.75. Plug this value into one of the equations and solve for y:

[tex]5x+3y=24\\5(3.75)+3y=24\\18.75+3y=24\\3y=24-18.75\\3y=5.25\\\\\displaystyley=\frac{5.25}{3} \\\\y=1.75[/tex]

Therefore, one pound of trail mix costs $1.75.

I hope this helps!

Which of the following correctly represents the movement on the number line for the calculation 21 - (- 15) + (- 30) ?

Answers

Answer:

It moves 6 to the right.

Step-by-step explanation:

21 -(-15) = 36

36+(-30)=6

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