The USA Olympic Synchronized Swimming Team is designing a routine for their upcoming competition. From the center of the pool, they moved 2 feet to the right and 4 feet up to create the center of their formation (Point
C). From the center of their formation, they then formed a circle that goes through a point 3 feet to the left and 4 feet up (Point D). What is the equation of the circle?

Select the correct answer chorice below.
(x _ _)^2 _ (y_ _)^2 = _

The USA Olympic Synchronized Swimming Team Is Designing A Routine For Their Upcoming Competition. From

Answers

Answer 1

[tex]\left(x-2\right)^{2}+\left(y-4\right)^{2}=25[/tex]

Hope this helps!

Answer 2

The equation of circle is [tex](x-2)^{2}+(y-4)^{2} =25[/tex]

Equation of circle:

The equation of circle is given as,

                 [tex](x-h)^{2}+(y-k)^{2} =r^{2}[/tex]

Where [tex](h,k)[/tex] is the coordinate of center and r is radius.

From the given figure,

It is observed that, the center of circular pool is (2, 4)

and radius is 5.

substitute the value of center and radius in above equation.

                  [tex](x-2)^{2}+(y-4)^{2} =5^{2}\\\\(x-2)^{2}+(y-4)^{2} =25[/tex]  

The equation of circle is [tex](x-2)^{2}+(y-4)^{2} =25[/tex]

Learn more about the equation of circle here:

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Related Questions

What is the solution to the equation below?

4w=2/3

A
6/3

B
8/3

C 2/12

D 4 2/3


THESE ARE FRACTIONS

Answers

what is the equation

Answer:

I think it is 2/12

4) A store donated 4 72 dozen cookies for a
fundraiser. Another store donated 3 14 dozen
cookies. How many dozen cookies did they
donate altogether?

Answers

Both the stores together donated 65.5 dozen cookies.

Use the sequence {−1,171,875;−234,375;−46,875;−9375,…} to answer the question.


What is the explicit rule that describes the sequence?


an=−1,171,875(125)n−1

an=1,171,875(−15)n−1

an=−1,171,875(15)n−1

an=1,171,875(−115)n−1

Answers

Answer:

an = −1,171,875(1/5)^n-1

Step-by-step explanation:

The given sequence is geometric sequence since they have the same common ratio r. The nth term of a geometric sequence is expressed as;

an = ar^n-1

n is the number of terms

r is the common ratio

a is the first term

From the sequence;

a = −1,171,875

r = −234,375 /−1,171,875 = -46,875/−234,375 = 0.2

r = 1/5

Substitute the values in the formula;

an = −1,171,875(1/5)^n-1

Hence the required explicit formula is an = −1,171,875(1/5)^n-1

The explicit rule that describes the sequence is [tex]\rm a_n = -1,171,875 (\dfrac{1}{5})^{n - 1 }[/tex]. Then the correct option is C.

What is a sequence?

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

The sequence is {−1,171,875;−234,375;−46,875;−9375,…}

The given sequence is the geometric sequence since they have the same common ratio r. Then the nth term of the geometric sequence will be

[tex]\rm a_n = a\ r^{n-1}[/tex]

Where

Number of terms (n)

First-term (a) = -1,171,875

Common ratio (r) = 1/5

Then nth term will be

[tex]\rm a_n = -1,171,875 (\dfrac{1}{5})^{n - 1 }[/tex]

The explicit rule that describes the sequence is [tex]\rm a_n = -1,171,875 (\dfrac{1}{5})^{n - 1 }[/tex]. Then the correct option is C.

More about the sequence link is given below.

https://brainly.com/question/21961097

In the pic below help my cousin out UnU I don’t wanna help em ;-;

Answers

Answer:

The mode is 78, for it keeps repeating.

Figure 222 is a scaled copy of Figure 111.

Identify the side in Figure 222 that corresponds to side \overline{CD}
CD
start overline, C, D, end overline in Figure 111.

Answers

Answer:

if im corect the anwser is 3.14 (Side note) this is the wrong question i was anwsering to


Write the integer that represents the opposite of each situation
100 feet above sea level

Answers

The answer is 100 m below sea level

HURRY PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

48 is the answer

Step-by-step explanation:

9*4 +. 6*2

36 + 12

48

48.............................

7x-12+3x+28=180 degrees
Please help ASAP

Answers

Answer:

180 degrees

Step-by-step explanation:

i think im not sure???????                                                                                                                      i hope im right

you put it in the question

Answer = 180


7x+3x =10x
-12+28=16
So,
10x+16=180
10x=164
x

Mark can make 9 pancakes in 15 minutes, and Charlotte can make 42 pancakes in 45 minutes. Working together, how many minutes would it take to make 138 pancakes?​

Answers

Answer:

60 mins

Step-by-step explanation:

15+45=60

The time needed to make 138 pancakes if both Mark and Charlotte work together is 227.142 minutes.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25.

As it is given that Mark can make 9 pancakes in 15 minutes, therefore, the number of pancakes that Mark can make in one minute,

[tex]\text{Number of Pancake in one minute} = \dfrac{9}{15}[/tex]

Now, for Charlotte, it is given that he makes 42 pancakes in 45 minutes, therefore, the number of pancakes that Charlotte can make in one minute,

[tex]\text{Number of Pancake in one minute} = \dfrac{42}{45} = \dfrac{12}{15}[/tex]

Further, the total pancakes that can be made in one minute,

[tex]\text{Total Number of Pancake in one minute} = \dfrac{9}{15} +\dfrac{12}{15} = \dfrac{21}{15}[/tex]

As they both need to make 138 pancakes together, therefore, the time they need is,

[tex]\rm Time\ Needed = \dfrac{\text{Total number of pancakes}}{\text{Total number of pancakes in one minute}}[/tex]

[tex]\rm Time\ Needed = \dfrac{138}{\frac{21}{15}} = \dfrac{138\times 15}{21} = 227.142[/tex]

Hence, the time needed to make 138 pancakes if both Mark and Charlotte work together is 227.142 minutes.

Learn more about Fraction:

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can you help me with this due today

Answers

The answers for are a,b, and c are:
a=15
b=8
c=17

help please 100 point

Answers

Answer:

Solution given:

we have

<A+<B=exterior <C[sum of two opposite interior angle of a triangle is equal to the exterior angle in a triangle]

So

3x-13+ 2x+4=116°

5x-9=116°

5x=116°+9°

x=125/5

x=25

Now

<A=3×25-13=62°

<B=2×25+4=54°

Answer:

[tex]3x - 13 + 2x + 4 = 166 \\ 5x - 9 = 116 \\ 5x = 166 + 9 \\ 5x = 125 \\ x = \frac{125}{5} \\ x = 25 \\ \\ a = 3 \times 25 - 13 = 62 \\ b = 2 \times 25 + 4 = 54[/tex]

I need help on this question and answering it

Answers

Answer:

75 feet

Step-by-step explanation:

the shadow to the object would be a 4:5 ratio

since the shadow of the flagpole is 60 ft,

4x=60 so x would =15

then you multiply 15 by 5 and end up with 75

Answer: 75 feet

Step-by-step explanation: trust me

A circle has a radius of 15 cm. Find the diameter

Answers

Answer:

15 times 2 = 30

diameter = 30

Step-by-step explanation:

if h(x) = 3(x + 6), find h(-1).
a.3
b.9
c.15
d.21​

Answers

It will be 15 I Believe

Quadratic Functions
Determine the value of y, if x is −9. y=x^2+8

Answers

Answer:nn

Step-by-step explanationn    o:

Answer:

y = 89

Step-by-step explanation:

x = -9

y = x^2 + 8

y = (-9)^2 + 8

y = 81 + 8

y = 89

The formula to convert Celcius to Fahrenheit is F=\frac{9}{5}C+32F=
5
9

C+32. If the temperature is -22°F−22°F what is the temperature in Celcius.

Answers

Answer:

-30C -  -5.56C

67 is 42% of what number?

Answers

Answer:

28.14

Step-by-step explanation:

28.14 just took the test

Nicole wants to rent a boat and spend less than $33. The boat costs $6 per hour , and Nicole has a discount coupon for $9 off. What is the answer in inequality

Answers

Answer: Nicole can spend up to 7 hours in the boat.

Step-by-step explanation:

Based on the information given in the question, the possible number of hours that can be used will be calculated as thus:

(6 × t) - 9 ≤ 33

6t - 9 ≤ 33

Collect like terms

6t ≤ 33 + 9

6t ≤ 42

Divide both side by the coefficient of t

6t/6 ≤ 42/6

t ≤ 7

Nicole can spend up to 7 hours in the boat.

•°|NO LINKS PLEASE, LOOKING FOR REAL ANSWERS|°•

What is the formula for finding the surface area of a square pyramid?​

Answers

Answer:

a2 + 2al (or) a2 + √a24+h2 a 2 4 + h 2

Step-by-step explanation:

Answer:

SA=L²+2L√(L²/4+H²)

Step-by-step explanation:

Where H is the height and L is the length

which expression is a fourth root of -1 + i√3?

Answers

Answer:

−1+1.732051i

Step-by-step explanation:

HELP PLEASE!!!

The bear population in Canada was 380,000 in the year 2015, and environmentalists think that the population is increasing at a rate of 2.5% per year.
Consider the function that represents the exponential growth of the bear population in Canada.

Part A: Defines a variable for the function and state what the variable represents.

Part B: What is a reasonable domain for the situation?

Part C: Write the function that represents the exponential growth of the bear population.

Part D: What will the bear population estimated to be in 2050?

Answers

Answer:

The population of Bear in 2050 is 4750000

Step-by-step explanation:

A) The exponential growth equation for bear is as follows -

dN/dT = rmax * N

Where dN/dT = change in population

rmax is the maximum rate of change

N = Base population

B) Here the per capita rate of increase (r) will always be a positive value irrespective of the and hence we will assume this population to be growing exponentially.

C) dN/dT = rmax * N

D) dN / 5 = 2.5 * 380,000

dN = 5*2.5 * 380000

= 4750000

A 13 foot ladder is leaning against the wall of a house. The ladder is 5 feet away from th
base of the house. How high up the house does the ladder reach?

Answers

Answer:

12 feet

Step-by-step explanation:

How many solutions does 4(−5x+8)= 4(−5x+8) have?

Answers

Answer:

infinity

Step-by-step explanation:

A pool has a length that is 3 times the width. Write the algebra radical value of the corner to corner distance

Answers

Answer:

The distance between corner to corner is equal to √10 times the width.

D = √10*W

Step-by-step explanation:

For a rectangle of length L and width W, the distance between two opposite corners can be calculated if we use the Pythagorean's theorem, where we can think on the length as one cathetus, the width as another cathetus and the diagonal as the hypotenuse.

Then the length of the diagonal is:

D^2 = L^2 + W^2

D = √( L^2 + W^2)

In this case we know that the length is 3 times the width, then:

L = 3*W

Replacing this in the equation for the diagonal we have:

D = √( (3*W)^2 + W^2) = √( 9*W^2 + W^2)

D = √( 10*W^2) = √10*√W^2 = √10*W

D = √10*W

The distance between corner to corner is equal to √10 times the width.

Evaluate 3f(2) what is it

Answers

Answer:

the eanswer should be 12

Step-by-step explanation:

i took the test

Find the slope of the line perpendicular to AB. A(3, 5) and B(3, -8).

Answers

Answer:

m = 0

Step-by-step explanation:

AB has a slope of y2 - y1 / x2 - x1 so -8-5/3-3 so -13/0 = undefined so it is a vertical line, so any line that is horizontal will be perpendicular to it, so horizontal lines have a zero slope

HELP WILL GIVE BRAINLEASIT

Answers

Step-by-step explanation:

try to do 180 - 135 organise a 45-degree that is the first answer of a and b you're taking 180 - 144 you got the answer also 28 degrees

Giving away 30 points, have a good day​

Answers

Answer:

For real???

Step-by-step explanation:

Tysm!! <3 you deserve so much!

Answer:thanks

Step-by-step explanation:

To find the area, multiply the area of the entire circle by __?

What number goes in the box.

Answers

Answer:

3.142 × 6 = 18.852, thats : 19cm, then multiply 19 by 6 , so 19 would go in the square.

because area of a circle is p × r sq. u multiply one of the 6 by 3.142, you get 19, then multiply that 19 by the other 6. the answer is approximately 113.112.

i need help with algebra 2 stuff. if anyone wanna help me out greatly appreciate it :)

Answers

Answer:

Step-by-step explanation:

I will try my best to help you with algebra what is the question

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