Answer:
The equation of the circle is;
(x - 2)² + (y - 4)² = 5²
Step-by-step explanation:
We note that the general equation of a circle is given as follows;
(x - h)² + (y - k)² = r²
Where;
(h, k) = The coordinates of the center of the circle
r = The radius of the circle
The given parameters are;
The location of the center of the pool to the center of their formation = 2 feet to the right and 4 feet up from the center of the pool
The point through which the circle which they form goes through = A point 3 feet to the left and 4 feet up from the center of their formation
Taking the center of the pool as the origin of the coordinate plane system, we have;
The coordinate of the center of the circle = The coordinate of their motion from the center of the circle
∴ The coordinate of the center of the circle = (2, 4)
∴ (h, k) = (2, 4)
h = 2, k = 4
The coordinate of the point through which the circle passes = (2 - 3, 4 + 4) = (-1, 8)
∴ The length of the radius, 'r', can be found as, r = √((-3)² + 4²) = 5 or r = √((-1 - 2)² + (8 - 4)²) = 5
r = 5
The equation of the circle is therefore presented by substituting the values of 'h', 'k', and 'r', as follows;
(x - 2)² + (y - 4)² = 5².
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Answer:
i know right? It's so difficult till I'm brainless when I try to solving it
Answer:
same tbh
Step-by-step explanation:
in 50 item test nestor got 95% correctly. how many correct answers did he get
Answer: 47.5 or just 47
Step-by-step explanation: Well, to start, set up a ratio.
x / 50 = 95 / 100
95 * 50 is 4750
4750 / 100 is 47.5.
Now, it's asking how many questions he got correct. You can't get 47.5 questions correct, it should be a whole number. Now, I don't know how the rules work with that question, but it is like 47.
HELP WILL MARK BRAINLIEST
Answer:
The answer is a...............
At the movies josh buys somes snacks for his family. He purchases one bucket of popcorn for$ 9.50 and four drinks. If he spent $20.50 total, write and solve an equation to find d, the amount each drink cost.
Answer:
$2.75
Step-by-step explanation:
9.50-20.50=11.00
11.00÷4=2.75
Answer:
2.75; 9.50 + 4x = 20.50
Step-by-step explanation:
First, lets write an equations: 9.50 + 4x = 20.50. Subtract 9.50 from 20.50, giving us: 4x = 11. Then divide 11 by 4, giving us x = 2.75. Each drink cost $2.75. To check this, plug in 2.75 for x in the original equations and you will get 20.50.
Sombody please help ASAP!
Answer:
a translation down 9 unit
Step-by-step explanation:
evalute sin 60. cos 30 sin +sin 30 .cos 60 what is the value of sin(30-60) what can you conclude
Answer:
See explanations below
Step-by-step explanation:
evaluate sin 60. cos 30 sin +sin 30 .cos 60 what is the value of sin(30-60) what can you conclude
According to the trigonometry identity
Sin 30 = 1/2
Sin 60 = √3/2
Cos 30 = √3/2
Cos 60 = 1/2
sin 60. cos 30 +sin 30 .cos 60
= √3/2(√3/2) + 1/2(1/2)
= √9/4 + 1/4
= 3/4 + 1/4
= 4/4
= 1
sin(30-60) = sin30cos60 - cos30sin60
sin(30-60) =1/2(1/2) - √3/2(√3/2)
sin(30-60) = 1/4 - √9/4
sin(30-60) = 1/4 - 3/4
sin(30-60) = (1-3)/4
sin(30-60) = -2/4
sin(30-60) = -1/2
hence the former fraction gives a positive values while the later gives a negative
a boy has only dimes and quarters in his piggy bank. If he has 50 coins worth 7 dollars and 55 cents altogether, how many quarters does he have in his bank
Answer:
30.2
Step-by-step explanation:
a qurter is 25 and there is 100 cents in a dollar so u do 755 divided by 25
-48+6
+(-3)(-4) (-2)
-7
Answer:
-73
Step-by-step explanation:
-48+6-24-7 = -73
simplify the expression
Answer:
7m ^1÷2
Step-by-step explanation:
see attached joint
hope it helps
What does an insurance actuary do?
Answer:
An insurance actuary is a professional that analyzes financial risk using mathematics, statistics, and financial theories.
Step-by-step explanation:
Most actuaries work in the insurance industry and help insurance companies create and price insurance policies based on the likelihood that they will have to pay out claims.
Hope this helped!!!
what is the diameter ?
Answer:
37.999749573966
Step-by-step explanation:
Brainliest?
whats 10k - 90 = -10
Answer:
k = 8
Step-by-step explanation:
10*8 - 90 = -10
:/
Izzy has 354 grapes and 600 red grapes. The man in the store is selling apples. How many grapes are there in all?
what is the scale factor in the dilation?
PLEASE HURRY!!!
Answer: 1/3
Step-by-step explanation:
2.5:7.5
3:9
just simplify
Write the equation of the line if the slope is 6 and the y-intercept is -2.
Answer:
y=6x-2
Step-by-step explanation:
slope=6
y-intercept=-2
y=6x-2
Brianna is going to the amusement park, where she has to pay a set price of
admission and another price for tickets to go on each of the rides. Brianna made the
linear graph below to indicate the money she might spend in total. What does the
y-intercept in the graph represent?
Im pretty sure the answer is A but if not then it is C
This is bcuz B doesn’t make sense because the graph doesn’t say anything close to 100 rides and D doesn’t make sense either.
Hope this helped.
WHAT IS THE PROBABILITY OF LANDING ON TAILS ON THE FIRST FLIP AND THEN TAILS AGAIN ON THE SECOND FLIP?
Answer:
25%
Since it's 2 in a row, it is divided by 4
technically it depends on the way you flip the coin, its mostly a 50-50
a more answer-y answer to this would be around (heads) 65-35 (tails) in my opinion.
Find the area of the painted part of the image below. (Units in m)
Answer:
11 meters square.
Step-by-step explanation:
if the painted area is the gray it would be 10m
if its the white area its 9m
plzzzz help with the square ( parallelograms)
Answer:
#1=8
#2=3
Step-by-step explanation:
what expressions are equivalent to 3(2x – 8)
Find the area of the following figure. Show your work
Can someone plz help me with #2 and #6 plz thank oyu
Answer:
njbrdjbbgdbjbfjfj
Step-by-step explanation:
Which scenarios below show ways governments or organizations work to solve large problems?
Answers
Red Cross volunteers travel to Haiti to help earthquake victims.
The United Nations passes a treaty to limit pollution into the Pacific Ocean.
A charity group from the United States travels to Africa to help victims of a virus.
Two ethnic groups begin fighting instead of negotiating.
A military dictator gives a threatening speech to other leaders.
A large company leaks pollutants into the Mississippi River
I need help pls is due today
Answer:
a) 1/2, 0.5, 50% b)3/4, 0.75, 75% c) 1/12, 0.08333, 8.333% d) 5/12, 41.6667%, 0.416
Step-by-step explanation:
Answer:
a] 1/2 b] 5/6 c] 1/6 d] 5/4
Step-by-step explanation:
no of even no present/total numbers and so on
try it later
f(1) = 1
f(2) = 2
f(n) = f(n − 2) + f(n − 1)
f(3)
Answer:
f(3) = 3
Step-by-step explanation:
f(1) = 1
f(2) = 2
f(n) = f(n − 2) + f(n − 1)
f(3) = f(3 - 2) + f(3 - 1)
= f(1) + f(2) = 1 + 2 = 3
Special Note: Have you heard of the Fibonacci sequence?
The formula f(n) = f(n − 2) + f(n − 1) is used to find the terms of the of the Fibonacci sequence
Find the area of the shaded
Answer:
area = 84 in²
Step-by-step explanation:
area = (9x12) - (6x8x0.5) = 84 in²
When a number is multiplied by 5 before subtracting from 78 the result obtained is the same as three times the sum of the number and 5 find the number
Answer:
x = 7.875
Step-by-step explanation:
Let the number = x
When a number is multiplied by 5 before subtracting from 78 the result obtained is the same as three times the sum of the number and 5 find the number
Hence,
78 -(x × 5) = 3(x + 5)
Expand the brackets
78 - 5x = 3x + 15
Collect like terms
78 -15 = 3x + 5x
63 = 8x
x = 63/8
x = 7.875
liam is making chocolate chip cookies. The recipe calls for 1 cup of sugar for every 3 cups of flour. Liam only has 2 cups of flour. How much sugar does liam use?
1/5 cups of sugar.
have a nice day
The ratio of pears to green apples is 1:3 if there are 150 green apples how many pears are there
50. 150 divided by 3
5/6 + 1/3 + 1/2 + 3/4 = ?
Answer:
23/12 or 1 11/12
Step-by-step explanation:
Answer:
29/12 or 2 5/12
Step-by-step explanation: