11. On a basketball court, the free throw lane is marked off geometrically. This area of the court is called the


key and is topped by a semicircle that has a diameter of 12 feet. Find the arc length of the semicircle to the


nearest foot. Find the area of the semicircle to the nearest square foot.

Answers

Answer 1

The area of the semicircle is approximately 57 square feet.

The arc length of the semicircle can be found using the formula:

arc length = (θ/360) × 2πr

where θ is the angle in degrees, r is the radius, and π is approximately 3.14.

In this case, the diameter of the semicircle is 12 feet, so the radius is half of that, or 6 feet. The angle of the semicircle is 180 degrees, since it is a semicircle. Plugging these values into the formula, we get:

arc length = (180/360) × 2π(6) ≈ 18.85 feet

Therefore, the arc length of the semicircle is approximately 19 feet.

To find the area of the semicircle, we can use the formula:

area = (πr^2)/2

Plugging in the value of the radius from before, we get:

area = (π(6^2))/2 ≈ 56.55 square feet

Therefore, the area of the semicircle is approximately 57 square feet.

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Related Questions

What are the types of polygons based on their sides and angles? How do you classify a polygon as regular, irregular, convex, or concave? Give an example of each.

Answers

Based on the number of sides, polygons are categorized as triangles, quadrilaterals, pentagons, hexagons, octagons, nonagons, and decagons, which have 3, 4, 5, 6, 7, 8, 9, and 10 sides, respectively.

what is a polygon ?

Any closed curve that has a collection of connected line segments (sides) that do not cross each other is a polygon in geometry. Pentagons, quadrilaterals with four sides, and triangles with three sides make up the most basic polygons (five sides).

The closed, side-and-vertex-containing shapes are known as polygons.

example

If any segment of a diagonal has points outside the polygon, the polygon is considered concave. The polygon is convex if none of the outside diagonals include any points.

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What is the zero of the function?

A.


3


B.


3
2


C.


2
3


D.

Answers

Answer: A

Step-by-step explanation:

p.s i am emo

The correct answer is A

Jose owes his brother $50. He promises to pay his brother back $5 each week until his debt is paid off. Represent the relationship between the debt, D, and the number of weeks, n, in a algebraic expression.

Answers

Answer:

5n=50d

Step-by-step explanation:

If n stands for the number of weeks and he is going to pay $5 per week, then the 5n go together and if the debt is 50, then it goes on the opposite side of the equal sign. I hope this helps!

on her first six test, Sandra's scores were 75 70 80 80 85 and 90 find the mean of the six scores

Answers

Answer:  80

Explanation:

First add up the scores: 75+70+80+80+85+90 = 480

Then divide by n = 6 because there are 6 scores. We get 480/n = 480/6 = 80 as the mean.

Question of the day
Fill in the table of values below for the equation y=x+3
Х
у

Answers


x | y
———-
0 | 3

1 | 4

Slope: 1
Y-intercept: 3


Answer:

yuuurrrppp

Step-by-step explanation:

4/5 + (-9/11) i need help please

Answers

Answer:

-1/55

Step-by-step explanation:

exact form -1/55

decimal form -0.018

plz mark as brainliest

thank you

19NBoli

Answer:

\(-\frac{1}{55}\)

Step-by-step explanation:

Hi! Ace here.

Whenever we have a positive being added to a negative, we can just do the positive subtracted my negative.

So let's rewrite this:

\(\frac{4}{5} -\frac{9}{11}\)

When subtracting and adding fractions, we have to make sure there is a common denominator, and if there isn't a common denominator, then we make a common denominator. The LCM, in this case, is 55, so let's convert the fractions.

\(\frac{4}{5} *\frac{11}{11} =\frac{44}{55}\)

\(\frac{9}{11} * \frac {5}{5} = \frac{45}{55}\)

Since \(\frac{11}{11}\) and \(\frac{5}{5}\) both equal 1, the fraction is the same value.

Now we subtract normally with our "new" numbers.

\(\frac{44}{55}- \frac{45}{55}\)\(=-\frac{1}{55}\)

I hope this helped, let me know if you have any questions.

I'll give you 20 points please help and don't give a fake answer I don't wanna fail

I'll give you 20 points please help and don't give a fake answer I don't wanna fail

Answers

Answer:

g(x) = 8x -15

Step-by-step explanation:

g(x) = 8(x-2) +1

      = 8x -16 +1

      = 8x -15

For the expression below, combine like terms to simplify the expression. -4x + 3y - 6 -15x + 23y - 10

Answers

Answer: -19x + 26y - 16

Step-by-step explanation:

Combine like terms:

= -4x + 3y - 6 -15x + 23y - 10

= -4x - 15x + 3y + 23y - 6 - 10

Simplifying the expression:

= -4x - 15x + 3y + 23y - 6 - 10

= -19x + 26y - 16

Which mathematical operation is being used here?
Eight and some number

Answers

Answer:

All math operation

Basic Operations. The basic arithmetic operations for real numbers are addition, subtraction, multiplication, and division.

Step-by-step explanation:

Determine the angle of A.

Determine the angle of A.

Answers

The measure of the angle A in the ΔACD is 13.26°.

Given a triangle ACD with angle D = 35°, AC = 20, DC = 8, we need to find the measure of the angle A,

So, using the Sine Law,

Sin D / AC = Sin A / CD

Sin 35° / 20 = Sin A / 8

Sin A = Sin 35° / 20 × 8

A = Sin⁻¹(Sin 35° / 20 × 8)

A = 13.26°

Hence the measure of the angle A in the ΔACD is 13.26°.

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1. Natasha worked at a diner for $10per hour last week and already had $42 in her bank account? She paid $206 for a prom dress. The equations 206 = 42 + 10h represents this problem. How many hour did she work to pay for the prom dress?

2. Translate the following sentence into a mathematics equation. The sum of 10 and five time a number is the same as the difference of the number and 6

Answers

Answer:she worked 17 hours

Step-by-step explanation: 10×17=170+42=212

Answer:

She worked 16.4 hours

Step-by-step explanation:

Which polygon appears to be regular?

Figure A

Figure B

Figure C

Figure D

Which polygon appears to be regular?Figure AFigure BFigure CFigure D

Answers

Answer:

Figure C

Step-by-step explanation:

Figure C is a triangle

Triangle is a regular polygon.

Note

A polygon is called regular if it has equal sides and angles.

Two less than one-fourth a number is the same as 3

Answers

1/4x-2=3 that should be it

Please help me With this question!!!

Please help me With this question!!!
Please help me With this question!!!

Answers

The solution is, the finally discounted price is 71.5.

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

sale price = 90

15% discount, so, the price = 90* 85%

                                            =76.5

now, after 5 discount, price became = 76.5 - 5

                                                             = 71.5

Hence, The solution is, the finally discounted price is 71.5.

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PLEASE HURRY I WILL GIVE THE BRAINLYEST TO THE PERSON WHO GETS THIS CORRECTLY
What are the integer solutions to the inequality below?

PLEASE HURRY I WILL GIVE THE BRAINLYEST TO THE PERSON WHO GETS THIS CORRECTLYWhat are the integer solutions

Answers

Answer:

3 ≤11 ≤ 11

Step-by-step explanation:

3x-4 = 2x +1

3x-5 = 2x

x-5 = 0

x= 5

3 ≤11 ≤ 11

Part 2: How much toilet paper do you really need to be prepared for long-term
isolation? Assume the average person uses 10 sheets of toilet paper each time
they use the toilet, and this occurs on average 3 times per day. How many rolls of
toilet paper (250 sheets/roll) does a family of four need per week of stay-at-home
social distancing? SHOW ALL OF YOUR WORK!

Answers

Answer:

4 rolls

Step-by-step explanation:

We can use logic to find how many rolls of toilet paper you would need.

If you use 10 sheets of toilet paper every time you use the toilet, and this happens 3 times a day, then each person per day uses \(10\cdot 3 = 30\) sheets of toilet paper per day.

For a 4 family household with 4 people, that would be \(30 \cdot 4 =120\) sheets every day for the whole family.

For a week (7 days) the whole family would use \(120 \cdot 7 = 840\) sheets per week.

If rolls of toilet paper are shipped by every 250 sheets, then we'd need \(840 \div 250 = 3.36\) rolls.

We can't have 0.36 of a roll, so we round up to 4 so we have enough.

Hope this helped!

yesterday, Linda traveled 128 miles to visit her uncle. Her car used for gallons of gasoline. If Linda's car uses gasoline at the same rate, how many gallons of gasoline will her car used today when she travels 432 miles?

Answers

Answer:

Linda car will use 13.5 gallons

Step-by-step explanation:

1. If AC=27 and BC = 9, then AB = ?

Answers

AB would be 18. You subtract 27-9.

Jeremy has a total of $25 in dimes and nickels. He has 4 more dimes than nickels. Which system of equations can be used to determine the number of dimes, d, and the number of nickels, n, that Jeremy has?

Jeremy has a total of $25 in dimes and nickels. He has 4 more dimes than nickels. Which system of equations

Answers

Answer:

D

Step-by-step explanation:

Because it is 25 dollars and A and C shows that their is 2500 dollars so x A and C out. Then B shows that n-d=4 but the question says that d-n=4.

23.A chef ordered 400 pounds of potatoes in same-sized bags. Which expressions show
the number of bags and number of pounds of potatoes per bag the chef may have
ordered? Choose all that apply.
E 50 x 80
80 x 5
B 10 x 40
0 20 x 20
© 20 x 20

23.A chef ordered 400 pounds of potatoes in same-sized bags. Which expressions showthe number of bags

Answers

Answer:

10*40

80*5

20*20

Step-by-step explanation:

20*20=400

80*5=400

10*40=400

Find the area of right triangle ABC.

Find the area of right triangle ABC.

Answers

Answer:

16 sq. unit

Step-by-step explanation:

Area = ½ × base × height

= ½ × 8 × 4

= 16 sq unit

what are the numbers for h?

what are the numbers for h?

Answers

Answer:

0,1

2,2

4,3

6,4

Step-by-step explanation:

Some Examples

4 = 1/2 (6) + 1

4 = 3 + 1

4=4

----------

2 = 1/2 (2) + 1

2 = 1 + 1

2 = 2

h

0

2

4

6

...................

what are the numbers for h?

2(12-w)= -2(w-17)-10 how many solutions

Answers

Answer:

Infinitely Many Solutions

Step-by-step explanation:

We can start by simplifying both sides of the equation:

2(12-w) = -2(w-17)-10

Expanding the brackets:

24 - 2w = -2w + 34 - 10

Simplifying:

24 - 2w = -2w + 24

At this point, we can see that both sides of the equation are equivalent, so we can conclude that the equation is an identity and has infinitely many solutions. Any value of w will satisfy the equation.

A restaurant uses four pounds of potatoes for a party of 12 people They are cooking potatoes for a party of 60 people what should I do

Answers

I think that the answer is 5

PLEASE HELP I BEG IMMA FAILLLLLLLLL

An isosceles triangle has two sides that measure 5.6 in. and a side that measures 4.2 in. If the triangle is enlarged such that the two sides measure 20 in, what is the length of the third side?

Answers

Answer:

15

Step-by-step explanation:

If the bigger triangle has the two congruent sides measuring 20, then the ratio of the bigger to the smaller is 20/5.6 This means that the ratio between the third side of the bigger to the third side of the smaller is 20/5.6

Setting a ratio:

20/5.6=x/4.2

Cross multiplying: 84=5.6x

x = 84/5.6  -->12/0.8 --> 15

x = 15

Estimate: 42 x 58 im not good a estimating problems

Answers

Answer:

2,400

Step-by-step explanation:

42 x 58= 2435 exact answer would be 2436

I need help on this question plsss help

I need help on this question plsss help

Answers

Try 28m I hope it’s right

A net force of 125 N is applied to a certain object. As a result, the object accelerates with an acceleration of 24.0 m/s2. The mass of the object is 144 kg.

Answers

The net force acting on the object is 3456 N, the objective with an acceleration.

The net force applied to an object is equal to the product of its mass and acceleration, according to Newton's second law of motion. Mathematically, this can be represented as:

Fnet = ma

Where Fnet is the net force, m is the mass, and a is the acceleration. In your scenario, the net force applied to the object is 125 N, and its acceleration is 24.0 m/s2. Therefore, we can rearrange the formula and solve for the mass of the object as follows:

m = Fnet / a
m = 125 N / 24.0 m/s2
m = 5.21 kg

However, this answer does not match the given mass of the object, which is 144 kg. This suggests that there may be an error in one of the values provided. Assuming the mass of the object is actually 144 kg, we can use the same formula to solve for the net force acting on it as follows:

Fnet = ma
Fnet = 144 kg * 24.0 m/s2
Fnet = 3456 N

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The mass of an object with net force value = 125 Newton and acceleration of 24.0 m/s² is equals to the 5.208 kg. So, option(c) is right one.

The force formula is derived by Newton's second law of motion. The basic formula force applied on object is F = ma, which implies that net force is equals to product of mass and acceleration of an object. We have an object with the following information, Net applied force on object, F = 125 N

Acceleration of an object, a = 24.0 m/s²

We have to determine mass of object. Using the above force formula, F = M× a

where M --> mass in kilograms

a --> Acceleration in m/s²

F --> net force in Newton

Substitute all known values in above formula, 125 N = M × 24.0 m/s²

=> M = = \(\frac{125}{24}\)

=> M = 5.208 kg

Hence, required value is 5.208 kg.

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Complete question:

A net force of 125 N is applied to a certain object. As a result, the object accelerates with an acceleration of 24.0 m/s^2. The mass of the object is ?

a) 144 kg

b) 236 kg

c) 5.208 kg

d) 459 kg

30 pts! Take a look at this square pyramid (image included). What is the surface area?

30 pts! Take a look at this square pyramid (image included). What is the surface area?

Answers

Answer:

160

Step-by-step explanation:

b^2 + 2 bl

8^2 + 2(8)(6)

64 + 16(6)

64 + 96

= 160

If a right-angled triangle has two acute angles (each of which measures less than 90), then why is there a value for sin, cos, tan of obtuse angles (which are greater than 90)?​

Answers

Step-by-step explanation:

Because in this situation you have 2 ways to solve it

Use angel without any change to get sin

But in this case you can't so we have another solution

Subtract angel from 360 it will give you result with negative or different results

If you have angel 100

The sin maybe equal sin100 or sin 360-100

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