Consider the following diagram that displays a map of a set of circular running tracks in a park connected by a sidewalk that goes from point a on the circle that represents the outer track to the center of all the circles, k

more in the photo please help!

Consider The Following Diagram That Displays A Map Of A Set Of Circular Running Tracks In A Park Connected

Answers

Answer 1

Answer:

Answer:

62.8 \: {m}^{2}62.8m

2

Step-by-step explanation:

Radius of outer circle = 6 m

Width of the track = 2 m

So, radius of inner circle = 6 - 2 = 4 m

Area of the track = Area of outer circle - Area of inner circle

\begin{gathered} = \pi {6}^{2} - \pi {4}^{2} \\ \\ = \pi( {6}^{2} - {4}^{2} ) \\ \\ = 3.14 \times (36 - 16) \\ \\ = 3.14 \times 20 \\ \\ = 62.8 \: {m}^{2} \end{gathered}

=π6

2

−π4

2

=π(6

2

−4

2

)

=3.14×(36−16)

=3.14×20

=62.8m

2


Related Questions

The ratio of girls to boys in the sixth grade class is seven to six. If there are 84 girls, how many boys are in the sixth grade?

Answers

Answer:

72

Step-by-step explanation:

84/7 = 12

12 × 6 = 72

84 to 72

Answer:

72

Step-by-step explanation:

divide 84 by 7, and then multiply 12(what you got from the division) by 6 and you get 72

Layla is determining the area of the trapezoid. Her work is shown below.

A trapezoid has a base of 14 feet, height of 10 feet, and top side length of 8 feet.

Step 1: Break the figure into rectangles and triangles.

A trapezoid is broken into a triangle and rectangle. The rectangle has a base of 10 feet and a height of 8 feet. The triangle has a base of 10 feet and a height of 6 feet.

Step 2: Find the area of the rectangle: 8 times 10 = 80.

Step 3: Find the area of the triangle: One-half times 6 times 8 = 24.

Step 4: Add the areas together: 80 + 24 = 104 square feet.

Which best describes Layla’s error?
The height of the triangle in Step 1 should be 4 ft.
The area of the triangle in Step 3 should be One-half times 6 times 10 = 30.
The area of the triangle is Step 3 should be halved because there is only one triangle.
The areas in Step 4 should be multiplied instead of added.

Answers

Answer:

the answer is B <3

Step-by-step explanation:

have a good day!

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Answer:

b

Step-by-step explanation:

A line passes through point (4,-2) and has a slope of -5/4 in
Ax+By=C PLEASE

Answers

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-2})\qquad \qquad \stackrel{slope}{m}\implies -\cfrac{5}{4} \\\\\\ \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}{-\cfrac{5}{4}}(x-\stackrel{x_1}{4})[/tex]

[tex]y+2=-\cfrac{5}{4}x+5\implies \stackrel{\textit{multplying both sides by }\stackrel{LCD}{4}}{4(y+2)=4\left( -\cfrac{5}{4}x+5 \right)}\implies 4y+8=-5x+20 \\\\\\ 5x+4y+8=20\implies 5x+4y=12[/tex]

Work out the angle below

Answers

Answer:

56

Step-by-step explanation:

two of the angles are the same meaning the bottom two are 62. angles in a triangle add up to 180° so you just do 62 + 62 and then take the answer away from 180

62+62=124

180-124=56

Consider the line y=x+9.

What is the slope of a line parallel to this line?

What is the slope of a line perpendicular to this line?

Answers

Answer:

parallel: 1, perpendicular: -1

Step-by-step explanation:

slope of a parallel line is the same

slope of a perpendicular line is a negative recipricol

slope of y=x+9 is 1

parallel: 1

perpendicular: -1

What is the longest chord of a circle? All chords are the same length. The radius is the longest. There is no way to tell. The diameter is the longest.

Answers

Answer:

A diameter is the longest chord of a circle.

30 POINTS! Combine the like terms of the 2 questions below:

1. y + 4 + 3(y + 2)

2. 0.5(x⁴ - 3) + 12

Answers

Answer:

[tex]\tt 1)\: \boxed{\tt 4y+10}[/tex]

[tex]\tt 2)\:\boxed{\tt 0.5x^4+10.5}[/tex]

Step-by-step explanation:

1) y + 4 + 3(y + 2)

Expand:-

[tex]\tt y+4+3y+6[/tex]

Combine like terms:-

[tex]\tt y+3y+4+6[/tex]

[tex]\boxed{\tt 4y+10}[/tex]

__

2) 0.5(x⁴ - 3) + 12

Expand:-

[tex]\tt 0.5x^4-1.5+12[/tex]

Add/Subtract Numbers:-

[tex]\boxed{\tt 0.5x^4+10.5}[/tex]

___________________

Two angles of a triangle measure 37º and 54° respectively. Is this triangle acute, right or
obtuse?

Answers

Hello! I believe the answer you are looking for is acute.


the sum of interior angles for a triangle is 180°

so 54°+37°+x°=180

x=89°

since x does not equal 90° or above it is acute. (90° would make it a right triangle and larger than that would make it obtuse)

Question 5 on math!
Please help me 15 points

Answers

Answer:

i cant see the grid

Step-by-step explanation:

show the grid please

Between what two whole numbers does your answer lie in 30/8?

Answers

Answer:

3 and 4

Step-by-step explanation:

30/8=3.75

3.75 lies between 3 and 4

Hey there!

30/8

= 30 ÷ 2 / 8 ÷ 2

= 15 / 4

≈ 3 3/4

≈ 3.75


It falls in between three (3) and four (4). But, fun fact it rounds to up to four (4)


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

given a force of 88N and acceleration of 4m/s what is the mass

Answers

Answer:

F = ma

m = F/a

m = 88/4

m = 22 kg

Step-by-step explanation:

16. Given that k is a real constant such that 0 < k < 1. Show that the roots of the equation kx2 + 2x + (1 – k) = 0, are С (i) Always real (ii) Always negative​

Answers

Answer:

Discriminant

[tex]b^2-4ac\quad\textsf{when}\:ax^2+bx+c=0[/tex]

[tex]\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real roots}[/tex]

[tex]\textsf{when }\:b^2-4ac=0 \implies \textsf{one real root}[/tex]

[tex]\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real roots}[/tex]

Given equation: [tex]kx^2+2x+(1-k)=0[/tex]

[tex]\implies a=k,\:b=2,\:c=(1-k)[/tex]

[tex]\begin{aligned}\implies b^2-4ac & =(2)^2-4(k)(1-k)\\ & =4-4k(1-k)\\ & =4-4k+4k^2\\ & = 4k^2-4k+4 \end{aligned}[/tex]

Complete the square:

[tex]\begin{aligned}\implies 4k^2-4k+4 & =4(k^2-k+1)\\ & = 4\left[k^2-k+\left(\dfrac{-1}{2}\right)^2+1-\left(\dfrac{-1}{2}\right)^2\right]\\ & = 4\left[\left(k-\dfrac12\right)^2+\dfrac34\right]\\ & = 4\left(k-\dfrac12\right)^2+3\end{aligned}[/tex]

[tex]\textsf{As }\left(k-\dfrac12 \right)^2 \geq 0 \implies 4\left(k-\dfrac12 \right)^2+3\geq 3[/tex]

Therefore, the roots are always real.

In the ordered pair (2, 7), the number 2 is the y-coordinate.
In the ordered pair ( 2, 7 ) , the number 2 is the y-coordinate.
In the ordered pair ( 2, 7 ) , the number 2 is the y-coordinate.
The horizontal axis in a coordinate plane is the x-axis.
The horizontal axis in a coordinate plane is the x-axis. – The horizontal axis in a coordinate plane is the x-axis.
The y-axis is also called the origin.

Answers

Answer:

The origin is at (0,0) its where the x and y coordinate intersect.

Step-by-step explanation:

what was the question here?

Ilya builds a slide that is 2.9 meters long. It is 1.5 meters above the ground. He wants to determine the distance from the bottom of the slide to the base of the ladder leading up to the slide. Which diagram represents this situation?
A triangle with side length 1.5 meters and hypotenuse 2.9 meters.
A triangle with side length 2.9 meters and hypotenuse 1.5 meters.
A triangle with side length 2.9 meters and hypotenuse 2.9 meters.
A triangle with side length 1.5 meters and hypotenuse 2.9 meters.

Answers

Answer:

Option A is correct. (light blue color in the triangle choices)

Step-by-step explanation:

Or with the same dimensions as my screenshot

Answer:

25.2

Step-by-step explanation:

1 . 12+2x=16 2.12+x=26 3 . 4x-2=10

Answers

Answer:

1. x=4

2. x=14

3. x=3

Step-by-step explanation:

x is just a symbol they use as a temporary symbol to tell the person reading the problem that there is number that you do not know yet. if the x in the problem is next to a number then it needs to be multiplied with the number it's next to. in this case we know that 4 times 3=12 and if you take two away from 12 you get 10 so because 3 works in the equation it's the answer for 4x-2=10. this applies to every problem like this another way to solve it is if you add 2 to the left side it cancels out but you need to add 2 to the other side which would look like 4x=10+2 which equals 4x=12 and 4 times three equals 12. it doesn't matter how the equation changes as long as you find out whatx equals then that is the answer.

Answer:

1. x = 2

2. x = 14

3. x = 3

Step-by-step explanation:

1. 12 + 2x = 16

First, I did 16 - 12 which is 4. I did this because you want to know how much 2x is supposed to be fully, and you always want to do the opposite. like in this case it was addition so the opposite is subtracting. Next, the 2x is supposed to equal 4, and when you see 2x that means you have to multiply. So, 2 x 2 = 4. You can also do 4 divided by 2 equal 4. Finally, the answer for x is 2.

________________________________________________________

2. 12 + x = 26

So, you have to do 26 - 12 which is 14. I turned the addition problem to a subtraction problem because you always want to do the opposite. and you should already know that x will equal 14. you can double check if you want and change it back to addition which will be 12 + 14 = what ? 26 . so 14 is the answer for x !

________________________________________________________

3. 4x - 2 = 10

First, you want to do 10 + 2 which is 12. You should know by now if you read above for the other equations that you have to do the opposite. Next, 4x is going to have to be equal to 12. So, 4 x 3 = 12 or you can do 12 divided by 4 which will still equal 3. Finally the answer for x is 3.

________________________________________________________

Hope this helps !

here a fun quote

"Happiness is the secret to all beauty. There is no beauty without happiness." - Chirstian Dior



If the volume of the pyramid is 12 cubic inches,
what is the height of the pyramid, in inches?

Answers

Answer:

6

Step-by-step explanation:

h=3(12/6)

can anyone tell me what (4 times a number is at least -12) i need help.

Answers

Answer:

-3

Step-by-step explanation:

4 times a number is at least -12

Substitute the missing number for x.

4x = -12

4x/4 = -12/4

x = -3

4 times -3 is at least -12.

hope this helps and is right!! p.s. i really need brainliest :)

Answer:

[tex]4x\geq -12\implies x\geq-3[/tex]

Step-by-step explanation:

I will make Brainliest

Answers

Answer:

x+2 - and x+6

Step-by-step explanation:

the midsegment of the trapezoid is RT. set up and equation and solve for x

Answers

Step-by-step explanation:

since it is the midsegment, all involved and related line segments follow the 1/2 factor.

so, the length of the midsegment is precisely in the middle between the lengths of the top and bottom lines.

in the first drawing

22 = x + (x - 10)

22 = x + x - 10

32 = x + x = 2x

x = 16

in the second drawing

x = 15 + (15 - 8) = 15 + 7 = 22

What is the answer to 8 7/9 + 5 9/11

Answers

Answer: 14.596

Step-by-step explanation:

Hope this Answer Helps! if it helped please leave brainliest

Given the vector field F= ∆(x3 + y3 + z3 + 3xyz), find div F and curl F.​

Answers

Since F is apparently a vector field, I assume you mean

[tex]\vec F = \nabla(x^3+y^3+z^3+3xyz)[/tex]

with ∇ = gradient, whereas ∆ is often used to denote the Laplacian, ∆ = ∂²/∂x² + ∂²/∂y² + ∂²/∂z².

Let [tex]f(x,y,z)=x^3+y^3+z^3+3xyz[/tex]. Compute the gradient of f :

[tex]\vec F = \nabla f(x,y,z) = \dfrac{\partial f}{\partial x} \, \vec\imath + \dfrac{\partial f}{\partial y} \, \vec\jmath + \dfrac{\partial f}{\partial z} \, \vec k[/tex]

[tex]\vec F = (3x^2+3yz) \,\vec\imath + (3y^2 + 3xz) \,\vec\jmath + (3z^2+3xy) \,\vec k[/tex]

Now compute the divergence of F (incidentally, divergence of a gradient field is the Laplacian of the f):

[tex]\mathrm{div} \, \vec F = \dfrac{\partial(3x^2+3yz)}{\partial x} + \dfrac{\partial(3y^2+3xz)}{\partial y} + \dfrac{\partial(3z^2+3xy)}{\partial z}[/tex]

[tex]\boxed{\mathrm{div} \, \vec F = 6x + 6y + 6z}[/tex]

and the curl: (the following is overkill, since any gradient field has curl zero, but it doesn't hurt to verify that)

[tex]\mathrm{curl}\, \vec F = \left(\dfrac{\partial(3z^2+3xy)}{\partial y} - \dfrac{\partial(3y^2+3xz)}{\partial z}\right) \,\vec\imath - \left(\dfrac{\partial(3z^2+3xy)}{\partial x} - \dfrac{\partial(3x^2+3yz)}{\partial z}\right) \, \vec\jmath \\ ~~~~~~~~~~~~ + \left(\dfrac{\partial(3y^2+3xz)}{\partial x} - \dfrac{\partial(3x^2+3yz)}{\partial y}\right) \,\vec k[/tex]

[tex]\boxed{\mathrm{curl} \,\vec F = \vec 0}[/tex]

45 POINTS!!!! HELP

A Ferris wheel at an amusement park is modeled by (x – 80)^2 + (y – 80)^2 = 5,625, where the measurements are in feet. A slingshot attraction is modeled by y = –3x^2 + 72x – 280. Which attraction reaches a greater height, and what does it represent in terms of the context?

A.The slingshot reaches a greater height at 280 feet, which is the vertex of the parabola.
B. The Ferris wheel reaches a greater height at 155 feet, which is the highest point on the circle.
C. The slingshot reaches a greater height at 152 feet, which is the vertex of the parabola.
D. The Ferris wheel reaches a greater height at 150 feet, which is the highest point on the circle.

Answers

The correct answer : B. The Ferris wheel reaches a greater height at 155 feet, which is the highest point on the circle.

2(square-root of 80/5-5)

Answers

Step-by-step explanation:

4

2

5

5

Pull terms out from under the radical.

4

5

5

The result can be shown in multiple forms.

Exact Form:

4

5

5

Decimal Form:

1.78885438

Answer: -2

Step-by-step explanation: if you take the square root of 80/5, you get 4. Then, you take 4-5, which is -1.

2 x -1= -2

Hope it helps!

If the probability of a family owning a cat is 0.10, the probability of owning a dog is 0.20, and the probability of owning a cat and a dog is 0.08, what is the probability of a family owning a cat or a dog?

Answers

Probability helps us to know the chances of an event occurring. The probability of a family owning a cat or a dog is 0.22.

What is Probability?

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

As it is given that the probability of a family owning a cat is 0.10, the probability of owning a dog is 0.20, and the probability of owning a cat and a dog is 0.08. Therefore, the probability of a family owning a cat or a dog can be written as,

Probability (family owning a cat or a dog)

= Probability (Cat) + Probability (Dog) - Probability (Cat And Dog)

[tex]\text{Probability (family owning a cat or a dog)} = 0.10+0.20-0.08 = 0.22[/tex]

Hence, the probability of a family owning a cat or a dog is 0.22.

Learn more about Probability:

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Determine whether [3x + 12 + x] is equivalent to [4(3 + x)]. Use properties of operations to justify your answer.

Answers

Step-by-step explanation:

Using BODMAS rule

[3x+12+x] = [4(3+x)]

[4x+12] = [12+4x]

Parentheses 1 = Parentheses 2

LHS = RHS

HENCE PROVED

MARK ME AS BRAINLIST

Lana is designing a triangular pyramid made of all glass to go on top of a building. All of the faces of the pyramid have a height of 17 feet and a base of 20 feet.

How much glass is needed?

A.

680 sq ft

B.

340 sq ft

C.

2,040 sq ft

D.

1,360 sq ft

Answers

Answer:

Area of a triangle is 1/2 x base x height.

area of triangle = 1/2 x 20 x 17 = 170 square feet.

the image shows 4 triangles, total area = 170 x 4 = 680 square feet.

the answer is A. 680 sq. ft.

Hope this helps you!!

Please Mark me as Brainleast!!!!!!!!!!!!!

I can only manage to get 3/4 and i know i got the answer right so can someone please help me?

Answers

Answer:

See below.

Step-by-step explanation:

A(1, 4)

B(3, 0)

C(-3, -2)

We find the coordinates of he midpoints using the midpioint formula.

D([1 + 3]/2, [4 + 0]/2) = D(2, 2)

E([1 + (-3)]/2, [4 + (-2)]/2) = E(-1, 1)

We find the slopes using the slope formula.

slope of BC:

m_BC = (-2 - 0)/(-3 - 3) = -2/(-6) = 1/3

slope of DE:

m_DE = (1 - 2)/(-1 - 2) = -1/(-3) = 1/3

Since the slopes of BC and DE are equal, the lines are parallel.

Watch your cholesterol: The mean serum cholesterol level for U.S. adults was 198, with a standard deviation of 39 (the units
are milligrams per deciliter). A simple random sample of 106 adults is chosen. Use Cumulative Normal Distribution Table if
needed. Round the answers to at least four decimal places.
Part: 0/3
Part 1 of 3
(a) What is the probability that the sample mean cholesterol level is greater than 204?
The probability that the sample mean cholesterol level is greater than 204 is
Next Part
Submit Assignment

Answers

For the mean serum cholesterol level for U.S. adults was 198, with a standard deviation of 39,  the probability   is mathematically given as

x=0.1379

What is the probability that the sample mean cholesterol level is greater than 204?

Generally, the equation for the probability  is mathematically given as

P(\=x>210)

Therefore

P=(z>\frac{204-198}{39/\sqrt{106}})

P=(z>1.583)

In conclusion, from cumulative table

x=1-p(z>1.583)

x=1-0.8621

x=0.1379

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HHHEEELLLPPP MMMEEE PLEASE.
Given the equation y = -3x + 1/2 , what is the y-intercept?

-3
1/2
-1/2
3

Answers

Answer:

1/2

Step-by-step explanation:

C, 1/2

Step-by-step explanation:

Use the equation y = mx + b,

b is the y-intercept

m represents the slope

-3 = slope

1/2 = y-intercept

1/2 is your answer

hope this helps :) and that i got it right this time lol

What is the value of x?

The figure shows 2 right triangles, triangle R S T with right angle S and triangle Q R T with right angle R. The measure of angle R T S is 60 degrees. The measure of angle Q T R is 45 degrees. The length of side R S is 2 square root 3. The length of side Q R is x.

Answers

Answer: 4

Step-by-step explanation:

The length of QR(x) from the given figure is 4 units.

What are trigonometric ratios?

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

From the given figure, QR=x, RS=2√3 units and ∠STR=60°.

We know that, sinθ= Opposite/Hypotenuse

sin60°=2√3/RT

√3/2=2√3/RT

RT=4 units

As we know, tanθ= Opposite/Adjacent

tan45°= x/4

1= x/4

x=4 units

Therefore, the length of QR(x) from the given figure is 4 units.

Learn more about the trigonometric ratios here:

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Need help!!!!!! ASAP What the word adverb modifies in a sentence melissa always goes shopping on a monday afternoon. .11. International trade is advantageous because trade makes it possible for people in each country toa. import more than they export.b. export more than they import.c. employ more of their domestic resources producing things that are costly for them to producedomesticallyd. acquire goods from foreigners more economically than they could be produced domestically.OL In the beginning of this chapter, the author of your textbook describes a study that began with the prompt, "tell me something about yourself. " what was surprising about this research?. "words may not mean what they are supposed to mean"" i need an illustration concernenig this subject only one question, correct answer gets brainliest HELP I need this done NOWMs. Doss is taking her class to South Padre Island and they are going to clean up a section that is 4 %miles long. She is going to split her class into five equal groups. If each group is cleaning an equivalenength of beach, what length will they be cleaning? the sum of two consecutive numbers in 23. what are the numbers? Find the value of X. PLEASE HELP MEEEE!!!!What is the solution to the following equation? 6(2x 10) + 22 = 3x + 16 (1 point) 2 3 5 6 A bag with 10 marbles has 10 yellow marbles. A marble is chosen from the bag at random. What is the probability that it is yellow? Write your answer as a fraction in simplest form. Explain the various factors that impact the solubility of substances in water. what would be the mass of 4.640 x 10^21 particles of aluminum What is the equation of the circle? If the ussrs economy had remained agriculture-based rather than industrialized, then. When calcium carbonate is heated, it breaks down into calcium oxide and carbon dioxide.CaCO3(s) CaO(s) + CO2(g)You heat 2.0 moles CaCO3.How many moles of carbon dioxide(CO2) will you make?A) 4 moles CO2B) 2 moles CO2C) 1 mole CO2D) 0.50 moles CO2 Read the passage and study the image and caption from Sugar Changed the World.The interior of a cotton mill factory in Manchester, England, in the 1800's. Women and girls are operating the machinery.Caption: The first factories were places like this cotton mill in Manchester, England.All over England, in sooty cities such as Manchester and Liverpool, when the factory whistle blew, workers would set down their presses and file out to drink a quick cup of tea sweetened with sugarusually dipping a piece of bread in the warm drink. Soon a smart manufacturer figured out that this break, and the need for a jolt of sweetness, was an opportunity. English workers were offered sugary cookies and candieswhat we call today energy barsthat quick pick-me-up that helped workers to make it through their long shifts.Starting around 1800, sugar became the staple food that allowed the English factoriesthe most advanced economies in the worldto run. Sugar supplied the energy, the hint of nutrition, the sweet taste to go with the warmth of tea that even the poorest factory worker could look forward to. Sugar was a necessity.How does the image support the text? 1. My sister is 14 years old. My brother says that his age minus 12 is equal to my sister's age. How Old is my brother? (Please state the equation clearly)2. Kim bought a poster that cost 8.95 and some colored pencils. The total cost was 21.35. How much did the colored pencils cost? (Please state equation clearly)3. The Acme Car Company sold 37 vehicles in June. How many compact cars were sold in June? (State Equation Clearly)4. Sandra wants to buy a new MP3 player that is on sale for $95. She has saved $73. How much more money does she need? (Please state Equation Clearly)5. Ronald spent $123.45 on school clothes. He counted his money and discovered that he had $36.55 left. How much money did he originally have?(State equation clearly)6. Brita withdrew $225 from her bank account. After her withdrawal, there was $548 left in Brita's account. How much money did Brita have in her account before the withdrawal. (State equation clearly) I need this by today please explain it clearly and also say the equation, Thank you (: What did the creature, Frankenstein, demand from his creator? female creature and revengeA female creature I only have 3 mins how is pH of the water will increase