Given:
The graph of a circle.
To find:
The equation of the given circle.
Solution:
The standard form of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex] ...(i)
Where, (h,k) is vertex and r is the radius.
From the given graph it is clear that the radius of the circle is 4 units and the center of the circle is (-2,2).
Putting [tex]h=-2, k=2[/tex] and [tex]r=4[/tex] in (i), we get
[tex](x-(-2))^2+(y-(2))^2=(4)^2[/tex]
[tex](x+2)^2+(y-2)^2=16[/tex]
Therefore, the equation of the circle is [tex](x+2)^2+(y-2)^2=16[/tex].
HELP 10pts!!!
This composite figure is created by placing a sector of a circle on a rectangle. What is the area of this
composite figure? Use 3.14 for it. Show all calculations that lead to the answer and include units. Please provide steps to prove your answer.
Answer:
148.12m²
Step-by-step explanation:
At first, lets find the area of rectangle.
length = 14m
breadth = 6m
Area of rectangle = length x breadth
= 14 x 6
= 84m²
Now, For the area of sector of the circle,
Given angle (a) = 34
radius = 14m
Area of the sector = a / 360 x pi x r²
= 34/360 x 3.14 x 14²
= 34 / 360 x 3.14 x 196
= 58.12m²
Now adding both areas,
84 + 58.12 = 142.12m²
Segment of a circle is the part of the circle. The total area of the composite figure is 142.1544 m².
What is the area of the segment of a circle?The area of the segment of the circle is given by the formula,
[tex]\rm \text{Area of the rectangle} = \pi r^2 \times \dfrac{\theta}{360}[/tex]
As it is given that the composite figure is made up of a circular segment and a rectangle, therefore, we will find the area of the rectangle and the area of the circular segment individually.
Area of the rectangle
The area of the rectangle is the product of its length and breadth, therefore, the area is,
[tex]\rm \text{Area of the rectangle} = Length \times breadth[/tex]
[tex]= 14 \times 6\\\\=84\rm\ m^2[/tex]
Area of the sector of the circle
[tex]\rm \text{Area of the rectangle} = \pi r^2 \times \dfrac{\theta}{360}[/tex]
[tex]= \pi \times 14^2 \times \dfrac{34}{360}\\\\=58.1544\rm\ m^2[/tex]
The total area of the composite figure
The total area of the composite figure
= Area of rectangle + Area of the segment of the circle
= 84 + 58.1544 m²
= 142.1544 m²
Hence, the total area of the composite figure is 142.1544 m².
Learn more about Segment of Circle:
https://brainly.com/question/1697991
HELP ME PlEASE! I am STRUGGLING??
A basketball player scores 28 points in
a game. She scores 35% of the total
team points.
How many points does her team score in
total?
a 63
b 65
C 72
d 80
Answer:
d) 80
Step-by-step explanation:
(35% = 0.35)
equation:
⇒ [tex]0.35x = 28[/tex]
divide 0.35 on both sides
⇒ [tex]\frac{0.35x}{0.35} = \frac{28}{0.35}[/tex]
solve:
⇒ x = 80
The total number of points will be 80. The correct option is D.
What is an expression?In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
Assume a basketball player scores 28 points per game. She accounts for 35% of the team's total points.
Calculate the number of the points below,
35% of x = 28 points
x = ( 28 x 100 ) / 35
x = 80 points
Therefore, the number of points will be 80. Option D will be the right answer.
To know more about an expression follow
https://brainly.com/question/28986384
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A number divided by 4 is 3. Write and solve an equation to find the missing number.
Hellooooooooooooo can someone please help me with this?
A pet turtle walks towards his food dish at a constant speed in a straight line . His Distance in inches y from his food dish after X seconds is given by Y=3x+12 in the equation y=3x+12 interpret the meaning of the coefficients 3 and the meaning of the number 12
help me pls
Answer:
3.45677
Step-by-step explanation:
The number 3 represents the speed of the pet turtle. And the number 12 represents the distance already covered at t = 0.
What is speed?Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.
We know that the speed formula
Speed = Distance/Time
A pet turtle strolls towards his food dish at a consistent speed in an orderly fashion. His Distance in inches y from his food dish after X seconds is given by y = 3x + 12.
In the equation, the number 3 represents the speed of the pet turtle. And the number 12 represents the distance already covered at t = 0.
More about the speed link is given below.
https://brainly.com/question/7359669
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ASAP ANYONE HELP!!!!!
Answer:
C
Step-by-step explanation:
x + 6 not hard
Answer:
Is C friend
Step-by-step explanation:
The expression that represents 6 more than x is x + 6. You can also rewrite this as 6 + x, but there is no need.
What’s the answer ?
Answer:
3 one ofx+2 And 4th one x4
Working together, Beth and Katy can wash a car in 6 minutes. Had she done it by herself, it would have taken Katy 18 minutes. How long would it take Beth to wash the car herself?
Answer:
It would take Beth twelve minutes to wash the car herself
Step-by-step explanation:
If they do it together in 6 minutes.
& Katy can do it in 18 minutes alone
Then 18 - x = 6
replace x for twelve
18 - twelve = 6
Ans: twelve
An 8 metre long ramp reaches a vertical height of 3 feet. What angle does it make with the ground. Convert 8 metres to feet and solve for the angle using trignometric ratios. The answer gets Brainliest:)
Answer:
The Answer is 22.024
Step-by-step explanation:
Pretty sure its 22.024, sorry if i'm wrong
Have a nice day
Can please give me the answer for this?
Answer:
Least : Orange, red, yellow, purple, green : Greatest
O = 7.2
R= 7.5
Y= 7.875
P= 8.25
G= 8.33
Step-by-step explanation:
either convert them all to fractions, or convert them all to decimals
IM VERY SORRY if its wrong tho :(
Write an explicit formula for an, the nth term of the sequence 24, 30, 36, ....
Answer: an = a1 + d(n-1) or an = 24 + 6(n-1)
Step-by-step explanation:
I need the answer fast!! Thanks
How do you find the GCF of 24 and 60
Answer:
12
Step-by-step explanation:
Find the prime factorization of 24.
To find the GCF, multiply all the prime factors common to both numbers: Therefore, GCF = 2 × 2 × 3.
GCF = 12.
Find the missing side.
Round to the nearest tenth.
For all 4 pics
Answer:
1st pic) 17.8
2nd pic) 16.8
3rd pic) 9.1
4th pic) 13.5
Step-by-step explanation:
1st pic: [tex]cos = \frac{adjacent}{hypothenuse}[/tex]
(write equation) Cos 27 (cos 27 = 0.89) = [tex]\frac{x}{20}[/tex]
(new equation) 0. 89 = [tex]\frac{x}{20}[/tex]
(multiply 20 on both sides) 0.89 x 20 = [tex]\frac{x}{20}[/tex] x 20
(solve) 17.8 = x
2nd pic: [tex]tan = \frac{adjacentx}{hypothenuse}[/tex]
(write equation) tan 40 (tan 40 = 0.84) = [tex]\frac{32}{x}[/tex]
(new equation) 0.84 = [tex]\frac{32}{x}[/tex]
(multiply 32 on both sides) 0.84 x 20 = [tex]\frac{32}{x}[/tex] x 20
(solve) 16.8 = x
3rd pic: [tex]cos = \frac{adjacent}{hypothenuse}[/tex]
(write equation) cos 55 (cos 55 = 0.57) = [tex]\frac{16}{x}[/tex]
(new equation) 0.57 = [tex]\frac{16}{x}[/tex]
(multiply 16 on both sides) 0.57 x 16 = [tex]\frac{16}{x}[/tex] x 16
(solve) 9.1 = x
4th pic: [tex]tan = \frac{adjacentx}{hypothenuse}[/tex]
(write eqaution) tan 42 (tan 42 = 0.90) = [tex]\frac{x}{15}[/tex]
(new equation) 0.90 = [tex]\frac{x}{15}[/tex]
(multiply 15 on both sides) 0.90 x 15 = [tex]\frac{x}{15}[/tex] x 15
(solve) 13.5 = x
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot. Show work. y=-16x^2+200x+82
Answer:
Step-by-step explanation:
y=-16x^2+200x+82
Answer:
my answer is 707
Step-by-step explanation:
Delta math told me lol
PLEASE I NEED HELP NOW!!!!
Answer:
80
Step-by-step explanation:
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What is mythology and therefore why is it important?
Answer:
mythology is important for both individualistic and collective reasons. On an individual level, mythology could teach moral or human truths, whereas on a collective level mythology could be used to keep people in touch with their origins. Mythological stories could then be used to teach children values such as hard work, diligence and obedience.
Step-by-step explanation:
Viola drives 2 kilometers up a hill that makes an angle of 4 degrees with the horizontal. To the nearest tenth of a kilometer, what horizontal distance has she covered
Answer:
2.0 km
Step-by-step explanation:
From the diagram attached,
cosθ = adjacent/Hypotenus
cos4° = x/2
make x the subject of the equation
x = 2cos4°
x = 2(0.998)
x = 1.995
x = 2.0 km. (to the nearest tenth)
Hence the horizontal distance is 2.0 km
if it takes hodshi walks 10 meters in 3 seconds how long will it take to walk 100 meters
Answer:
30 seconds
Step-by-step explanation:
10x10=100 3x10=30
−2t−5<9
Hiiiiiiii
Huuuu
Answer:
t > -7
Step-by-step explanation:
To solve for t, first add 5 to both sides:
-2t - 5 < 9
-2t < 14
Divide each side by -2, and flip the inequality because we are dividing by a negative number:
-2t < 14
t > -7
So, the solution is t > -7
HELLO
now you can give the other person brainiest
What is the constant of proportionality in the direct variation represented on the following graph?
- [tex]\frac{1}{4}[/tex]
[tex]\frac{1}{4}[/tex]
-4
4
DUDE ACTUALLY HELP PLEASE GIVING BRAINLIEST
Answer:
154°
Step-by-step explanation:
They are alternate angles.
Answer:
154 degrees
Step-by-step explanation:
I'm going to use simple terms, you see there are two types of angles? One acute and the other obtuse. All the angles that are obtuse are the same and vis versa for acute angles too. It's just a rule for two parallel lines that are intersected by a perpendicular one.
Solve for X
WILL GUVE BRAINIEST ON THE FIRST ANSWER
15POINTS
Answer:
x = 10
Step-by-step explanation:
Angles are congruent because they are vertical angles:
5x + 6 = x + 46
5x - x = 46 - 6
4x = 40
x = 10
What function is graphed below?
Y=x/3
Y=2 x +3
Y= 2 x + 3
Y = 3x
Answer: its y=x/3
So x/3 is the slope and means the same as 1/3 x
the 1/3 shows we go up one and over 3 because slope is y/x
Hope this helps
Classify the triangle by its angles and sides
Solve for x round to the nearest tenth pls help
What is √15 divided by √12 simplified?
☁️ Answer ☁️
annyeonghaseyo!
I Got:
√5/2
Here's the Decimal Form:
1.11803398
Hope it helps.
Have a nice day noona/hyung!~  ̄▽ ̄❤️
Which expression is equivalent to sqrt48x^5 if x>0
Answer:
sqrt (48x^5) if x>0
. implies multiplication
48 = 2. 2.2.2.3= 2^4 .3
sqrt [2^4 .3 (x^5) ] if x>0
sqrt [2^4 ] sqrt [3 ] sqrt [(x^5) ] if x>0
sqrt [16 ] sqrt [3 ] sqrt [(x^5) ] if x>0
4. sqrt [3 ] sqrt [(x^5) ] if x>0
We know, sqrt [(x^5) ] if x>0 = x^2. sqrt [(x) ]
4. sqrt [3 ] .x^2. sqrt [(x) ] if x>0
4x^2 sqrt[3x] (answer c)
Step-by-step explanation:
PLEASE HELPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!! How many holes need to be drilled for 36 parts? Show your work.
Answer:
18c
= 18(36)
=648
Hope this helps you
Answer:
Part H
How many holes need to be drilled for 36 parts? Show your work.
Step-by-step explanation:
18c
= 18(36)
= 648