The standard height from the floor to the bull’s-eye at which a standard dartboard is hung at 5 feet 8 inches. A standard dartboard is 18 inches in diameter. Suppose a standard dartboard is hung at standard height so that the bull’s-eye is 10 feet from the wall to its left. Sasha throws a dart at the dartboard that land at point 10.25 Feet from the left wall and 5 feet above the floor. Does Sasha’s dart land on the dartboard? Drag the choices into the boxes to correctly complete the statements.

The Standard Height From The Floor To The Bulls-eye At Which A Standard Dartboard Is Hung At 5 Feet 8

Answers

Answer 1

Answer:

Hello! I'm sorry I couldn't get to your question sooner. I just completed this quiz!

The equation of the circle that represents the dartboard is (x-10)^2 + (y-17/3)^2 = 9/16, where the origin is the lower-left corner of the room and the unit of the radius is feet.  

The position of Sasha's dart is represented by the coordinates (10.25,5). Sash's dart does land on the dartboard.

This quiz was completed on k12, lesson 3.03.

Answer 2

The question is an illustration of equation of circles.

The equation of the dartboard circle is: [tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = \frac 9{16}}[/tex]Sasha's dart lands on the dartboard because

From the question, we understand that:

[tex]\mathbf{h = 5\ ft\ 8\ in }[/tex] ---- the height at which the dartboard was hung

[tex]\mathbf{d = 18\i n }[/tex] ---- the diameter of the dartboard

[tex]\mathbf{B = 10ft}[/tex]  --- the bull's eye

[tex]\mathbf{D = (10.25ft, 5ft)}[/tex] --- Sasha's dart

Equation of the circle

First, we convert all units to feet

This is done by dividing inches units by 12

[tex]\mathbf{h = 5\ ft\ 8\ in }[/tex]

[tex]\mathbf{h = 5\ ft\ + \frac{8}{12}\ ft }[/tex]

[tex]\mathbf{h = 5\ ft\ + \frac{2}{3}\ ft }[/tex]

Take LCM

[tex]\mathbf{h = \frac{15 + 2}{3}\ ft }[/tex]

[tex]\mathbf{h = \frac{17}{3}\ ft }[/tex]

[tex]\mathbf{d = 18\i n }[/tex]

[tex]\mathbf{d = \frac{18}{12}ft}[/tex]

[tex]\mathbf{d = \frac{3}{2}ft}[/tex]

Divide by 2 to calculate radius

[tex]\mathbf{r = \frac{3}{2*2}ft}[/tex]

[tex]\mathbf{r = \frac{3}{4}ft}[/tex]

The equation of the circle is represented as:

[tex]\mathbf{(x - a)^2 + (y - b)^2 = r^2}[/tex]

In this case:

[tex]\mathbf{a = B = 10ft}[/tex] -- the distance between the bull's eye and the wall

[tex]\mathbf{b = h = \frac{17}{3}\ ft }[/tex] ---- the height at which the dartboard was hung

So, we have:

[tex]\mathbf{(x - a)^2 + (y - b)^2 = r^2}[/tex]

[tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = (\frac 34)^2}[/tex]

Evaluate the exponents

[tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = \frac 9{16}}[/tex]

Hence, the equation of the circle is: [tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = \frac 9{16}}[/tex]

Does Sasha’s dart land on the dartboard?

Yes her dart lands on the dartboard because

[tex]\mathbf{D = (10.25ft, 5ft)}[/tex] is within the circumference of the dartboard

Read more about equation of circles at:

https://brainly.com/question/23988015


Related Questions

Select the
Suppose Phil reads a book that contains 16 conspiracy theories. When he researches the
theories, he finds that 75% of them are false. How many of the theories are true?

Answers

Answer:

4 of the conspiracy theories were true

Step-by-step explanation:

Percentages

Phil read a book with 16 conspiracy theories, 75% of which were false. It means that 25% of them were true.

25% of 16 is 25 * 16 / 100 =400 / 100 = 4

Thus, 4 of the conspiracy theories were true

The set {1,2,3,4,...} is called the set of

Answers

This is an example of a finite set

I hope this is the answer you're looking for :)

Find each value for the geometry triangles below

Answers

Answer:

14. x=18

Step-by-step explanation:

For 14 you can see that all the angles must add up to 180.

Setup the equation 5x+2x+x=180 and solve for x

For 15 do the same thing, add up all of the lengths and substitute the missing one as W. Set them equal to 360 and you should get your answer.

A falcon flew 70 miles in 3 hours. What was the speed of the falcon?

speed = distance over time ; 1 mile = 1609 meters.

Answers

Answer:

10.4 meters per second i think?

Step-by-step explanation:

Speed=distance over time
Distance= 70 miles
Time = 3 hours
70/3= 23.3333
Speed is approx 23.3miles per hour

Suppose that Haley encounter two traffic lights on her commute to GGC campus. Based on

her past experience, she judge that the probability is 0.35 that the first light will be red when she gets to it,

0.45 that the second light will be red, and 0.20 that both lights will be red. Let R1 denote the event that the

first light is red, and let R2 denote the event that the second light is red.

a) Determine the probability that at least one light will be red. (Show how you calculate this.)

b) Determine the conditional probability that the second light will be red given that the first light is

red. (Show how you calculate this.)

c) Are the events R1 and R2 independent? Justify your answer numerically.

d) Are the events R1 and R2 disjoint (mutually exclusive)? Justify your answer numerically.

Answers

Answer:

Explained below.

Step-by-step explanation:

The information provided is,

P (R₁) = 0.35

P (R₂) = 0.45

P (R₁ ∩ R₂) = 0.20

(a)

Compute the probability that at least one light will be red as follows:

P (at least one light will be red) = P (R₁ ∪ R₂)

                                                    = P (R₁) + P (R₂) - P (R₁ ∩ R₂)

                                                    = 0.35 + 0.45 - 0.20

                                                    = 0.60

Thus, the probability that at least one light will be red is 0.60.

(b)

Compute the conditional probability that the second light will be red given that the first light is red as follows:

[tex]P(R_{2}|R_{1})=\frac{P(R_{1}\cap R_{2})}{P(R_{1})}[/tex]

                [tex]=\frac{0.20}{0.35}\\\\=0.571428\\\\\approx 0.57[/tex]

Thus, the conditional probability that the second light will be red given that the first light is red is 0.57.

(c)

If two events, say A and B are independent then:

P (A|B) = P (A).

The value of P (R₂ | R₁) = 0.57.

And the value of P (R₂) = 0.45

P (R₂ | R₁) ≠ P (R₂)

Thus, the events R₁ and R₂ are not independent.

(d)

If two events, say A and B are mutually exclusive then:

P (A ∩ B) = 0

The value of P (R₁ ∩ R₂) = 0.20.

Thus, the events R₁ and R₂ are not mutually exclusive.

Period of y=2tan (2x+90) -1

Answers

20 is the answer
I hope this help

a child walks 3/10 of a mile in 1\5 hour. At this rate, how far will the child walk in 1 hour

Answers

Answer:

1½ mile

Step-by-step explanation:

Given

3/10 mile = ⅕ hour

Required

Determine the distance in 1 hour

Since rate is constant, we have:

3/10 mile = ⅕ hour

Multiply both sides by 5

5 * 3/10 mile = ⅕ hour * 5

15/10 mile = 5/5 hour

3/2 mile = 1 hour

1½ mile = 1 hour

Hence,the child will walk 1½ mile in 1 hour

How many proportional relationships are shown in the coordinate plane below? Please answer quick

Answers

Answer:

The answer is 1

Step-by-step explanation:

There is 1 proportional relationship in the graph

What is 6√2⋅√11−2√22 expressed in simplified form?

Answers

Hope this help you!!! :))

solve the following equation 5+7=11+7

Answers

Answer:

The equation, 5+7=11+7 solved step by step is:

5 plus 7, which equals 12.

And then, 11 plus 7, which equals 18.

You put it all together, it turns into 12=18 which isn't true.

So, your problem is not real.

Step-by-step explanation:

Your question has no answer because the two sides aren't equal.

Hope this helped! :)

Louis deposited $300 into his bank account. She now has $4501. Enter and solve an equation to find how much was in his account before the deposit. Let it represent the variable.

Answers

Answer: $4,201

Step-by-step explanation: 4,501 - 300 = 4,201

Answer:

d+300=4501

Step-by-step explanation:

Take the total: 4501 and subtract it by the amount of money he deposited the second time: 300 and that will show you the missing amount he had in his account before the deposit.

4501-300=4201


Caroline wants to buy a pair of shoes that has an original price of $50.00. She has a coupon for a 40% discount off of the original price. What is the final
cost for Caroline's shoes?
А
$10
B
$20
С
$30
ОО
D
$48

Answers

Answer:

your new should be c $20

The final cost is $30.

Option C is the correct  answer.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

The original price of the coat = $50

Discount = 40%

Now,

The final cost.

= (100 - 40)% of 50

= 60% x 50

= 60/100 x 50

= $30

Thus,

The final cost is $30.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ6

What is the total number of digits required in numbering the pages of a book, which has 1,150 pages?

Answers

There are 9 digits 1-9.
There is a total of 4,693 digits in the book.

Got a #30 question math quiz paying $10 anyone , send your socials or #

Answers

This sounds sus to me ┐( ̄ヘ ̄)┌

7 + (−3) simplify
please

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

When you add a negative number, you're basically subtracting it.

7 - 3 = 4

Hope this helps! Good luck :)

Identify the coefficients: -3h - 2h + 6h +9

Answers

Answer:

its -3h,-2h,6h

Step-by-step explanation:

hope i helped

-3h -2h +6 coefficients have verbales which are letters which is why 9 isn’t a coefficient

A company has developed a new type of light bulb and wants to estimate its mean lifetime. A simple random sample of 100 bulbs had a sample mean lifetime of 750.2 hours with a sample standard deviation of 30 hours. Construct a 98% confidence interval for the population mean lifetime of all bulbs manufactured by this process.

Answers

Answer:

hh

Step-by-step explanation:

JHWKHvksdhvdsjKdsk

Name all rays with endpoint E

Answers

Answer: Is there an image??

AE, BE, CE, and DE is the rays with endpoint E.

What is a vector?

An item with both magnitude and direction is referred to be a vector.

A vector can be visualized geometrically as a straight spline, with a pointing in the orientation and a length equal to the value of the vector.

Geometrical objects with magnitude and direction are called vectors.

A line with an arrow in its direction can also be used to represent a vector, and the length of the line relates to the vector's amplitude.

Given the figure,

The endpoint of all rays is E.

The rays associated with point E are;

AE, BE, CE, and DE

Hence "AE, BE, CE, and DE is the rays with endpoint E".

For more information about vector,

brainly.com/question/13322477

#SPJ2

A day care center has 52 children. Each teacher has the same number of children. How many children could each teacher at the center have.

Answers

Answer:

The answer to this question would depend on how many teachers are available in the day care center.

If every teacher is to have the same number of children then the number of teachers will be factors of 52 which are more than 1;

2, 4, 13, 26, 52

If there are 2 teachers, each teacher will have 26 children

If there are 4 teachers, each teacher will have 13 children

If there are 13 teachers, each teacher will have 4 children

If there are 26 teachers, each teacher will have 2 children

If there are 56 teachers, each teacher will have 1 child

I need help !!!!!!!

Answers

Solution (5) :

Given , KM = 22

Then JL =

This trapezoid is an isosceles trapezoid which means its diagonals will be equal . So ,

KM = JL ( the diagonals in an isosceles trapezoid are congruent )

22 = JL

JL = 22

Therefore , JL = 22 .

Solution (6) :

Given , DF = 8.7

Then , EG =

Since this trapezoid is an isosceles trapezoid , its diagonals will be equal . So ,

DF = EG ( the diagonals in an isosceles trapezoid are congruent )

8.7 = EG

EG = 8.7

Therefore , EG = 8.7 .

Charlie has 468 onions to sell. He puts 12 onions in each bag, and he sells the bags for $8 each. What is the answer?

Answers

Answer:

312 $

Step-by-step explanation:

468 / 12 = 39 bags

8 x 39 = 312 $

so the answer is 312$

helpppppppppppppppppp​

Answers

how much was the second one?

Tim used the expression n3 to determine the volume of a cube where n represents a side length of the cube. Using this expression, what is the volume, in cubic inches, of a cube with a side length of 3.5 inches?

Answers

Answer:

4

Step-by-step explanation:

Answer:

 

Step-by-step explanation:

The two lines graphed below are not parallel. How many solutions are there to
the system of equations?

Answers

Answer:

I think it might be zero

Step-by-step explanation:

you might want to look into this all the way beforyou trust put it into*

What’s 1 times 5 times 2?

Answers

Answer:

10

Step-by-step explanation:

Answer:10

Step-by-step explanation:1×5=5×2=10

Find the integers that are closest to 65 (the number in the middle)

Answers

Step-by-step explanation:

Divisors of the Positive Integer 65:

1,5,13,65

Sum of all the Divisors of 65, including itself:

84

Sum of the Proper Divisors of 65:

19

Properties of the number 65:

The integer 65 is an odd number.

The integer 65 is a Composite number.

19 is less than 65, so 65 is a deficient number.

Hello, I wanted to leave you this photograph of mathematics that I think will be very useful to some of you, observe it​

Answers

Answer:

yes

Step-by-step explanation:

Answer:

thank you

Step-by-step explanation:

:)

It took Jesse 195 minutes to write an essay for school.
How many hours did it take Jesse to write the essay for
school?

Answers

Answer: 3 hours and 15 minutes

Step-by-step explanation:

Answer:

Time taken by Rahm to write the essay and finish the science project = 12.5 hours    

Step-by-step explanation:

Now, we need to find the total time spent by Rahm to finish the both writing the essay and the science project.

Hence, Time taken by Rahm to write the essay and finish the science project = 12.5 hours

If A= (-1,-3) and B= (11,-8) what is the length of AB?

Answers

Answer:

AB is 13

Step-by-step explanation

Ivan has 32 baseballs and 48 basketballs. If he wants to divide them into identical groups without any balls left over, what is the greatest number of groups Ivan can make

Answers

Here we will show you step-by-step with detailed explanation how to calculate 48 divided by 32 using long division.

Before you continue, note that in the problem 48 divided by 32, the numbers are defined as follows:

48 = dividend

32 = divisor

 

Step 1:

Start by setting it up with the divisor 32 on the left side and the dividend 48 on the right side like this:

             

 3 2 ⟌ 4 8  

Step 2:

The divisor (32) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:

       0    

 3 2 ⟌ 4 8  

Step 3:

Multiply the divisor by the result in the previous step (32 x 0 = 0) and write that answer below the dividend.

       0    

 3 2 ⟌ 4 8  

       0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.

       0    

 3 2 ⟌ 4 8  

     - 0    

       4    

Step 5:

Move down the 2nd digit of the dividend (8) like this:

       0    

 3 2 ⟌ 4 8  

     - 0    

       4 8  

Step 6:

The divisor (32) goes into the bottom number (48), 1 time(s). Therefore, put 1 on top:

       0 1  

 3 2 ⟌ 4 8  

     - 0    

       4 8  

Step 7:

Multiply the divisor by the result in the previous step (32 x 1 = 32) and write that answer at the bottom:

       0 1  

 3 2 ⟌ 4 8  

     - 0    

       4 8  

      3 2  

Step 8:

Subtract the result in the previous step from the number written above it. (48 - 32 = 16) and write the answer at the bottom.

       0 1  

 3 2 ⟌ 4 8  

     - 0    

       4 8  

     - 3 2  

       1 6  

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 48 divided by 32 calculated using Long Division is:

1

16 Remainder

Other Questions
describe three provisions included in the Texas Constitution of 1836 that were unusual yet greatly debated atthe convention. which angle pairs are congruent? Select all that apply Carol invested $2,560 into two accounts. One account paid 6% interest and the other paid 8% interest. She earned 7.25% interest on the total investment in one year. How much money did she put in each account? Use the general formula, I=Prt, to model simple interest applications, where I is equal to the interest, P is equal to the product of the principal, r is equal to the rate, and t is equal to the time. A camp counselor has a list of 134 campers who signed up for art class. The counselor can place 8 students in each class. How many classes does the counselor need to have? What the things aid in the movement of the lymph? * Please help I have 30 more minutes to answer* All of the following led to the first crusade EXCEPT:a.disputes over the Holy landc.heresy among the peasantsb.religious differences between Muslims and Christiansd.revenge toward the Jews Why is "who can participate" the most important classification? a group of hikers begin in an elevation of -29 feet below sea level. they travel up a mountain side until they were on an elevation of 245 feet abos sea level. what was the total change in elevation for the hikers? f(x)=x-5g(x) = 2x+1Write the expressions for (f-g)(x) and (f+g)(x) and evaluate (fg)(4). What are some ways that intercessory prayer makes a difference in the lives of others?(my answer)There is only one Intercessor to God the Father, and that is via His Son, Jesus. When you pray, you are to ask the Father in Jesus' name. In John 16:23-23 we read, "And in that day you will ask Me nothing. Most assuredly I say to you, whatever you ask the Father in My name, He will give you. Until now you have asked nothing in My name. Ask, and you will receive, that your joy may be full."There is no other name under Heaven where we may come to the Throne of God and ask for our needs. All humans die and return to the ground/grave (hell). We all 'sleep' until the time of our Resurrection as the Scripture is clear on. Imagine you are researching the invention of drones and their controversial uses. Compare these two images and then answer the question that follows.Two images labeled A and B side by side. Both are images show websites on the topic of drone hovercraft. Image A has these features, 2013 date, URL of www.dronehovercraft.net, an award seal for Great Content!, an advertisement for candy, and a title of Drones, The 21st Century Spy Assassin. Image B has these features, 2012 date, URL of www.dronehovercraft.gov, a quote from Prisident Obama stating Creating a legal structure on how we use unmanned weapons, drones, is going to be a challenge for me and my successors. The page has a title of Drones, Rules on Use and Misuse. Grace Davies / Omni-Photo Communications, Inc. / Universal Images Group / Image Quest 2013Which source is more credible for your research and why? A is more credible because it presents the truth about how drones are being used. It has also won an award for great content. A is more credible because it is more up to date than B, with specifics about drone use. B gives confusing and boring information. B is more credible because it is from a government site, so it is meant to inform. It has a quote that shows drones are in debate. B is more credible because it shows both sides of the drone debate, whereas A is biased. A is only trying to entertain and get attention. a shape is shown on the graph Which of the following is a reflection of the shape NEED HELP ASAP WITH THESE QUESTIONS GIVING FAIR AMOUNT OF POINTS IF HELPED WITH ALL QUESTIONS Violet light has a wavelength of 4.20 x 10-12 m. What is the frequency? 3. A photon has a frequency (n) of 3.468 x 106 Hz. Calculate its energyCalculate the energy (E) and wavelength (l) of a photon of light with a frequency of 4.215 x 1014 Hz.Calculate the frequency and the energy of blue light that has a wavelength of 400 nm(h = 6.62 x 10-34 J-s). Calculate the wavelength and energy of light that has a frequency of 9.5 x 1015 Hz.A photon of light has a wavelength of 0.090 cm. Calculate its energy.Calculate the energy and frequency of red light having a wavelength of 2.80 x 10-5 cm.Calculate the energy (E) and wavelength (l) of a photon of light with a frequency of 5.165 x 1014 Hz.The wavelength of green light from a traffic signal is centered at 7.20 x 10-5 cm. Calculate the frequency.If it takes 1.56 seconds for radio waves (which travel at the speed of light) to reach the moon from Earth, how far away is the moon? Calculate the frequency of light that has a wavelength of 4.20 x 10-9m. Identify the type of electromagnetic radiation. Solve for a.a+(5)=12 Students were given four unknown substances and asked to observe theircharacteristics. Their observations are shown in the table below:Which of the unknown substances is MOST likely a metal? Which of The following would not affect self image What is the perimeter, in units, of the polygon ABCDEF? PLEASSE HELPP Helppp please i got hella hw!!!! At least 5 sentencesPROMPT: What is the overall message of Mad Woman by Taylor Swift?Answer using the response paragraph format:TWO QUOTES-one from each piece. Be sure they are embedded & cited)-highlight quotes any color, highlight the citation a different color. Example of embedded quote with citation: In the song Mad Woman, Taylor Swift compares herself to a scorpion by saying they strike to kill, suggesting that when she gets provoked, she will fight back (Swift). Commentary (your thoughts/opinions)-[place brackets around commentary] Hi! I've been stuck on this for awhile although it seems so easy I can't get by it :/ What is the most popular movie in 2020 Please tell me I want too see one I am QUEEN OF BORED lol