explain each step in the process of finding the area of a circle given the circumfrence
Answers
Answer:
Divide the circumference by \(2\pi\)Square the remaining numberMultiply the resulting value by \(\pi\)Step-by-step explanation:
Recall that the formula for the circumference of a circle is:
\(2\pi r\)
Also recall that the formula for the area of a circle is:
\(\pi r^2\)
Both formulas use the radius; one squares it, while the other doubles it.
Let's start by turning the formula for the circumference of a circle into the formula for the area of a circle. We start off with:
\(2\pi r\)
We want to square the radius, but we can't do that without squaring everything else, too, so let's get rid of the other terms.
Divide the circumference by \(2\pi\):
\(2\pi r\\\frac{2\pi r}{2\pi } =\\r\)
Now, we can square r:
\(r\\r^2\)
Now, all we have to do is multiply by pi:
\(r^2\\\pi r^2\)
We now have the area.
Let's look back at out steps.
First, we divided the circumference by \(2\pi\).
Next, we squared the number we had left (the radius).
Finally, we multiplied by \(\pi\).
Related Questions
In the context of the passage, which "expression of art"
(line 9) would be the most difficult to interpret?
(A) A contemporary play written by a prolific playwright
(B) A fable from a nonliterate society with which
anthropologists are very familiar
(C) A single text produced by a previously unknown
society
(D) A sitcom from the early days of television
(E) A single myth from an ancient culture with a welldocumented
mythological structure
Answers
According to the given passage the most appropriate option is: C.
A single text produced by a previously unknown society.
Explanation:In light of this passage's excerpt, we can infer that it would be most challenging to interpret a piece of art for which we have no context—that is, no understanding of its language, history, inflection, or society and culture.
The definition of a single text:A single document that ties together the frequently disparate interests of parties involved in a conflict is used in a single-text negotiating strategy, a type of mediation.
What exactly is a paragraph?1. A paragraph with only one brief sentence that clearly states the main idea.
2. A paragraph that consists of a single lengthy sentence that could support three, four, or five sentences.
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Use the matrix of transition probabilities P and initial state matrix X_0 to find the state matrices X_1, X_2, and X_3. P = [0.6 0.2 0.1 0.3 0.7 0.1 0.1 0.1 0.8], X_0 = [0.1 0.2 0.7] X_1 = [] X_2 = [] X_1 = []
Answers
To find the state matrices X_1, X_2, and X_3, we can use the transition probability matrix P and the initial state matrix X_0.
P = [0.6 0.2 0.1
0.3 0.7 0.1
0.1 0.1 0.8]
X_0 = [0.1 0.2 0.7]
To calculate X_1, we multiply the transition probability matrix P with the initial state matrix X_0:
X_1 = P * X_0
To calculate X_2, we multiply P with X_1:
X_2 = P * X_1
Similarly, to calculate X_3, we multiply P with X_2:
X_3 = P * X_2
Performing these matrix multiplications will give us the state matrices X_1, X_2, and X_3.
Note: Since the provided matrix P has a dimension of 3x3 and the initial state matrix X_0 has a dimension of 1x3, the resulting state matrices X_1, X_2, and X_3 will also have a dimension of 1x3.
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To find the state matrices X₁, X₂, and X₃ given the transition probabilities matrix P and the initial state matrix X₀, we can apply matrix multiplication repeatedly.
P = [0.6 0.2 0.1
0.3 0.7 0.1
0.1 0.1 0.8]
X₀ = [0.1
0.2
0.7]
To find X₁, we multiply P with X₀:
X₁ = P * X₀
To find X₂, we multiply P with X₁:
X₂ = P * X₁ = P * (P * X₀)
To find X₃, we multiply P with X₂:
X₃ = P * X₂ = P * (P * (P * X₀))
Performing the matrix multiplications, we get:
X₁ = [0.6 0.2 0.1] * [0.1
0.2
0.7] = [0.06 + 0.04 + 0.07
0.03 + 0.14 + 0.07
0.01 + 0.02 + 0.56]
X₁ = [0.17
0.24
0.59]
X₂ = [0.6 0.2 0.1] * [0.17
0.24
0.59] = [0.048 + 0.048 + 0.059
0.023 + 0.168 + 0.059
0.007 + 0.048 + 0.472]
X₂ = [0.155
0.25
0.527]
X₃ = [0.6 0.2 0.1] * [0.155
0.25
0.527] = [0.042 + 0.031 + 0.053
0.021 + 0.175 + 0.053
0.006 + 0.05 + 0.422]
X₃ = [0.126
0.249
0.478]
Therefore, the state matrices are:
X₁ = [0.17
0.24
0.59]
X₂ = [0.155
0.25
0.527]
X₃ = [0.126
0.249
0.478]
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If the mean of 2 3 x and 5 is 4,find x
Answers
Answer:
the missing number is 6
Step-by-step explanation:
To find the mean, add up all the numbers and divide by the number of numbers
( 2+3+x+5) /4 = 4
Combine like terms
(10+x)/4 =4
Multiply each side by 4
10+x = 16
Subtract 10 from each side
x = 6
Find the power set for the following sets (Write 3 examples of each)
a) Two sets A & B both having any 2 elements
b) Two sets A & B both having any 3 elements
c) Two sets A & B both having any 4 elements
Answers
Given statement solution is :- a) Power set for two sets A and B with any 2 elements:
Set A: {1, 2}, Set B: {3, 4}
Power set of A: {{}, {1}, {2}, {1, 2}}
Power set of B: {{}, {3}, {4}, {3, 4}}
b) Power set for two sets A and B with any 3 elements:
Set A: {1, 2, 3}, Set B: {4, 5, 6}
Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}
Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}
c) Power set for two sets A and B with any 4 elements:
Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}
Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}
Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},
a) Power set for two sets A and B with any 2 elements:
Set A: {1, 2}, Set B: {3, 4}
Power set of A: {{}, {1}, {2}, {1, 2}}
Power set of B: {{}, {3}, {4}, {3, 4}}
Set A: {apple, banana}, Set B: {cat, dog}
Power set of A: {{}, {apple}, {banana}, {apple, banana}}
Power set of B: {{}, {cat}, {dog}, {cat, dog}}
Set A: {red, blue}, Set B: {circle, square}
Power set of A: {{}, {red}, {blue}, {red, blue}}
Power set of B: {{}, {circle}, {square}, {circle, square}}
b) Power set for two sets A and B with any 3 elements:
Set A: {1, 2, 3}, Set B: {4, 5, 6}
Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}
Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}
Set A: {apple, banana, orange}, Set B: {cat, dog, elephant}
Power set of A: {{}, {apple}, {banana}, {orange}, {apple, banana}, {apple, orange}, {banana, orange}, {apple, banana, orange}}
Power set of B: {{}, {cat}, {dog}, {elephant}, {cat, dog}, {cat, elephant}, {dog, elephant}, {cat, dog, elephant}}
Set A: {red, blue, green}, Set B: {circle, square, triangle}
Power set of A: {{}, {red}, {blue}, {green}, {red, blue}, {red, green}, {blue, green}, {red, blue, green}}
Power set of B: {{}, {circle}, {square}, {triangle}, {circle, square}, {circle, triangle}, {square, triangle}, {circle, square, triangle}}
c) Power set for two sets A and B with any 4 elements:
Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}
Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}
Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},
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a-260 for a
2 and b = 3.
Answers
Answer:
-258
Step-by-step explanation:
5(x-2)=x+1
Pls help
(No spam)
Pls show work
Answers
Answer:
\(5(x - 2) = x + 1 \\ 5x - 10 = x + 1 \\ 5x - x = 1 0+ 1 \\ 4x = 11 \\ x = \frac{11}{4} \)
Domino's Pizza cuts their Large pizza into 8 equal slices. What is the area of one of the slices if diameter is 16 inches?
Answers
Answer:
25.1325
Step-by-step explanation:
16/2= radius of 8. pi*r^2 for 8 is 201.06. 201.06/8(slices) = 25.1325
Answer:
24.96 inches²
Step-by-step explanation:
Area of full pizza:
A= π×16²/4
Number of slices is 8 equal
Area of each slice is:
A= 1/8×A
A=1/8×π×16²/4
A=0.3925×64
A=24.96
An airplane flies 2720 km in 4 hours calculate the average speed in kilometers per hour?
Answers
Answer:
680km
Step-by-step explanation:
2720/4=680
First is brainliest :) Please and thank you. I will also thank them.
Answers
Answer:
C
Step-by-step explanation:
It makes sense
So this question is quite simple to solve. First and always, set your equation. Gather the most important highlights of this question.
1. Costs $0.50 to make one bracelet, b.
2. Sells for $20 per bracelet.
3. Also sells three times the production price plus $20.
Now, c is cost.
So, equation:
C = 3b + 20.
So thus, the answer is C.
Pls help, 20 points!!
Answers
Answer:
(-18,9)
Step-by-step explanation (work shown in picture attached):
1) The first step in solving by substitution is to isolate the y-term in one of the equations if it is not already isolated. Isolate y in the first equation by dividing both sides by -2. This leaves us with the equation \(y = \frac{-x}{2}\)
2) Now, substitute \(\frac{-x}{2}\) for the y in the second equation. Simplify and isolate x. (You can multiply everything by -2 to get rid of the fraction.) This leaves us with x = -18.
3) We've found the x-value of the solution, -18. Now, substitute -18 for x back into one of the original equations (I chose the first one because it was simple) and isolate y. This gives us y = 9. Thus, in point form, the answer is (-18,9).
rue or false: the driving costs of an automobile are influenced by the number of miles you drive and the size of the car
Answers
The driving costs of an automobile are influenced by the number of miles you drive and the size of the car is True.
Cost is the amount of money spent by a business to produce or create goods or services. It excludes the profit margin markup. Cost is the sum of money paid on making a good or product, as seen from the seller's perspective.
Operating expenses as variable expenses because they are only incurred while the vehicle is in use. Fuel, tires, maintenance, and repairs are included in these expenses, which are directly correlated to the miles or hours traveled.
It is true that the size of the car and the number of miles you drive affect the cost of operating an automobile.
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WILL MARK YOU BRAINLIEST HURRY PLZ
Answers
Answer:
16 sides and 157.5°
Step-by-step explanation:
What is the Standard form of 70,000
Answers
Answer: 7x10 to the 4th
Step-by-step explanation:
10. dice when a pair of dice is rolled, what is the probability tha tthe sum of the dice is 5, given that exactly one of the dice shows a 3?
Answers
The probability sum of the dice is 2/11.
Let A be the event that the sum of dots is 5, then
A={(1,4), (2,3), (3,2), (4,1)}
n(A)=4
And, B is the event that one die shows a "one"
B={(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (3,1), (4,1), (5,1), (6,1)}
n(B)=11
The Event that some of the dots are five and one of the die shows "one".
A intersection B = {(1,4), (4,1)}
Since n(A) = 36 (thirty-six possible samples of two dice)
P(A)=4/36
P(B)=11/36
P(A intersection B)=2/36
So, the required probability is
P(A|B)=P(A intersection B)/P(B) =2/11
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Find the nth partial sum of the arithmetic sequence for the given value of n.
75, 70, 65, 60, . . ., n = 25
Answers
The nth partial sum of the arithmetic sequence for the given value of n is 825.
This is calculated by adding the first 25 terms of the sequence: 75 + 70 + 65 + 60 + 55 + 50 + 45 + 40 + 35 + 30 + 25 + 20 + 15 + 10 + 5 + 0 - 5 - 10 - 15 - 20 - 25 - 30 - 35 - 40 - 45 - 50 - 55.
To calculate the nth partial sum of an arithmetic sequence, you need to first determine the value of the first term (a1) and the common difference (d). The first term of this sequence is 75 and the common difference is -5.
The nth partial sum can be calculated using the formula Sn = n/2(a1 + an). In this case, n = 25 and an = -50. Substituting in the values gives us Sn = 25/2 (75 - 50) = 25/2(25) = 825.
Therefore, the nth partial sum of the given arithmetic sequence for the given value of n is 825.
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A 6,000-seat theater has tickets for sale at $28 and $40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $193,200?
Answers
Answer:
2,100 $28 tickets were sold, and 3,900 $40 tickets were sold!
Step-by-step explanation:
So, we need to write two equations in order to solve this:
We will think of 28 dollar tickets as x, 40 dollar tickets as y.
Now lets make those equations:
\(x + y = 6,000\)
and
\(28x+40y = 193,200\)
Now, to solve for x and y, lets set a value for x or y. In this case I will set the value of y:
I will do this by taking \(x + y = 6,000\), and subtracting x to the other side, to get y alone:
\(y = 6,000 - x\)
Now lets plug in y to our second equation:
\(28x + 40(6,000-x) = 193,2000\)
=
\(28x+240,000-40x = 193,200\)
Now combining like terms and solving for x we get:
\(-12x + 240,000 = 193,200\)
=
\(-12x = -46,800\)
=
\(x=3,900\)
Now that we know x, lets solve for y by plugging into our first equation!
\(3,900 + y = 6,000\)
=
\(y = 2,100\)
So now we know that our answer is:
2,100 $28 tickets were sold, and 3,900 $40 tickets were sold!
Hope this helps! :3
Let f(x)=18/1+3^e-0.1x What is the point of maximum growth rate for the logistic function f(x)? Show all work. Round your answer to the nearest hundredth
Answers
Answer:
(0, 4.5)
Step-by-step explanation:
*The equation can be put into Desmos, to find the point, but the work to prove it is here*
f(x)=c/1+Ae^-Bx
Y=C
C=18 A=3 -B=-0.1
*Replace x with 0 in the equation, so you know 0 is the x value, and it leads you to the y value*
f(0)=18/1+3e^-o.1(0)
= 18/1+3e^0
=18/1+3(1)
=18/1+3
=18/4
=4.5
x=0 y=4.5
Maximum growth rate = (x,y) --> (0, 4.5)
Hope this helps:))!!
Determine all segments skew to CD.
Answers
Helpp me plzzz!!
A.) Side - Side - Side
B.) Side - Angle - Side
C.) Angle - Side - Angle
D.) Angle - Angle - Side
E.) Hypotenuse - Leg
Answers
Answer:
side angle side. Seems contrary
Answer:
side angle side. Seems contrary
Step-by-step explanation:
Find the volumes of the solids generated by revolving the region in the first quadrant bounded by the curve x=y-y3 and the y-axis about the given axes.
a. The x-axis
b. The line y=1
Answers
The volume of the solid is π/3.
The regions bounded by the curve x = y - y^3 in the first quadrant and the y-axis are to be revolved around the x-axis and the line y = 1, respectively.
The solids generated by revolving the region in the first quadrant bounded by the curve x=y-y3 and the y-axis about the x-axis are obtained by using disk method.
Therefore, the volume of the solid is:
V = ∫[a, b] π(R^2 - r^2)dx Where,R = radius of outer curve = yandr = radius of inner curve = 0a = 0andb = 1∫[a, b] π(R^2 - r^2)dx= π∫[0, 1] (y)^2 - (0)^2 dy= π∫[0, 1] y^2 dy= π [y³/3] [0, 1]= π/3
The volume of the solid is π/3.The solids generated by revolving the region in the first quadrant bounded by the curve x=y-y3 and the y-axis about the line y = 1 can be obtained by using the washer method.
Therefore, the volume of the solid is:
V = ∫[a, b] π(R^2 - r^2)dx Where,R = radius of outer curve = y - 1andr = radius of inner curve = 0a = 0andb = 1∫[a, b] π(R^2 - r^2)dx= π∫[0, 1] (y - 1)^2 - (0)^2 dy= π∫[0, 1] y^2 - 2y + 1 dy= π [y³/3 - y² + y] [0, 1]= π/3
The volume of the solid is π/3.
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HEPLLPLLLPPPPPPOP!!!Cylinder P is transformed into cylinder Q where both the radius and height of cylinder O become double of the radius and height of cylinder P, as shown in the figure.
Science
Period 5
Frequently Visited
Cylinder P
Clever
| Portal
Privacy Report
h1000013
13 educ
Cylinder Q
If the volume of the cylinder P is 8 cubic inches, what is the volume of cylinder Q in cubic inches? Enter the answer in the box. The volume of a right circular cylinder is r? h, where r is the radius of the base of the cylinder, and h is the height of the cylinder.
Answers
The volume of cylinder Q in cubic inches will be 64 cubic inches.
Given that:
Hirght of Q, h' = 2h
Radius of Q, r' = 2r
Let r be the radius and h be the height of the cylinder. Then the volume of the cylinder will be given as,
V = π r²h cubic units
The volume of P is given as,
V = 8 cubic inches
π r²h = 8 cubic inches
The volume of Q is calculated as,
V' = π (r')²(h')
V' = π(2r)²(2h)
V' = 8πr²h
V' = 8 x 8
V' = 64 square inches
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There are 9 squares and 15 circles. What is the simplest ratio of squares to circles?
Answers
Answer:
0.6 squares per circles
3:5
Step-by-step explanation:
if you are looking for a different answer just comment on this
\(\huge\pmb{Hi!}\)
Here's what a ratio looks like:
Let's assume we have numbers a and b.
The ratio of a to b is:
a:b
So, let's figure out the ratio of squares to circles:
9:15
Is the ratio in its simplest form? No, it isn't. We can divide 9 and 15 by 3.
\(\huge\boxed{\star{Answer:3:5\star}}\)
Hope it helps! Enjoy your day!
~Just a determined gal
\(\bf{^e^r^u^t^a^N\:^t^n^e^l^i^S\)
What’s this I don’t understand please help!!!
Answers
Answer:
Step-by-step explanation:
3.)Fewer
4.)The least common is 4
8.)20
9.)
21+36+10+4+24+14+5=114
Its asking for how many pets, not owner
10.) The most common number of pets owned is 3
6. In Rectangle DEFG DE=7. EF=3 FG = 7, and DG = 3
6
In Rectangle MNOP, MN=7, NO = 3. OP=7, and MP=3
Can Rectangles DEFG and MNOP be classified as similar, congruent
both or neither? Explain
Answers
Answer:
5
Step-by-step explanation:
ali needs to solve the equation x^2 + 6x + 22 = 0 by completing the square. which pair of steps is the most efficient way to begin?
a. x^2 + 6x + 9 = -22 + 9
b. x^2 + 6x + 36 = -22 + 36
c. x^2 + 6x + 3 = -22 + 3
d. x^2 + 6x + 81 = -22 + 81
Answers
Answer:
a. x² + 6x + 9 = -22 + 9
Step-by-step explanation:
they moved the 22 to the right by subtracting it. this leaves a binomial on the left side, which if what you want to solve it.
then they completed the square by dividing b (6) by 2 = 3. then squaring 3 to get 9.
if you added 9 to the left, then you have to add 9 to the right, therefore resulting in -22 + 9.
Answer:
In TTM/Imagine Math it is top left or a.
Step-by-step explanation:
on ran around a track that was 1/8 of a mile long.He ran around the track 24 times.how mant miles did jon run in all?
Answers
Answer:
3 miles
Step-by-step explanation:
1/8*24=3
Answer:
Step-by-step explanation:
He ran 24 times around the track1
Circumfrence of track=1/8 Mile
Total distance he covered=1/8*24
Distance = 3 miles
Find the measure of the missing angles.
d =
e
e=
fd
77°
O
31°
ƒ=
0
Answers
The measure of the missing angles are d= 77° , e= 31° ,and f = 72°.
As given in the question,
Angle e is vertically opposite to the given angle 31°
⇒Measure of angle e = 31°
Angle d is vertically opposite to the given angle 77°
⇒Measure of angle d = 77°
Angle e , Angle f and angle d are linear pairs
⇒∠e +∠f +∠d =180°
⇒31° +∠f + 77°=180°
⇒ ∠f =180° -108°
⇒ ∠f =72°
Therefore, the measure of the missing angles are d = 77° , e = 31° and
f = 72°.
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Which statement(s) is(are) true about cones? Statement 1: A cone has a triangular base. Statement 2: A cone is 3 times larger than a cylinder with the same height and radius. Statement 3: A cone is one-third the size of a cylinder with the same height and radius. Statement 4: A cone has a circular base.
Answers
Answer:
Statement 3: A cone is one-third the size of a cylinder with the same height and radius.
Statement 4: A cone has a circular base.
Step-by-step explanation:
Statement 3: A cone is one-third the size of a cylinder with the same height and radius.
Statement 4: A cone has a circular base.
The true statement is:
Statement 3: A cone is one-third the size of a cylinder with the same height and radius.
Statement 4: A cone has a circular base.
What is Cone?A cone is a three-dimensional solid geometric shape having a circular base and a pointed edge at the top . A cone has one face . There are no edges for a cone.
Properties of Cone
A cone is a shape that has a curved surface and a circular base. The following properties of a cone help us identify it easily. They are as follows.A base of a cone is circular.There is one face, one vertices, and no edges for a cone.The slant height of a cone is the length of the line segment joining the of the cone to any point on the circumference of the base of the cone.A cone have circular base at a perpendicular distance is called a right circular cone.A cone have circular base is an oblique cone.As, from the properties of cone we can say that.
A cone is one-third the size of a cylinder with the same height and radius. and, : A cone has a circular base..
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(NEED EVIDENCE, NOT ONLY ANSWER)
Lily has a rectangular shaped shawl that is 75 inches wide and 18 inches long. What is the area of the shawl in square feet?
Answers
So,
A = 75 * 18
A= 1350 inch^2
Convert inches to feet
1350 * 0.0833 = 112.5 ft^2
For several weeks, the function f(x) = 3(4)* represented the number of birds
infected with an illness x weeks after the first birds became sick. How did the
number of sick birds change each week?
A. The number quadrupled each week.
B. The number increased by 4 each week.
C. The number increased by a factor of 3 each week.
D. The number increased by 3 each week.
SUBMI