The ratio of the radii is equal to the ratio of the distances between corresponding points on the two circles, we can conclude that the two circles are similar.
Describe Circle?A circle is a two-dimensional geometric shape that consists of all points in a plane that are equidistant from a fixed point called the center. The distance between the center and any point on the circle is called the radius. The line passing through the center of the circle and connecting two points on the circumference is called the diameter, which is twice the length of the radius.
The circle is a fundamental concept in geometry and has many important properties. One of the most well-known properties of a circle is that the circumference, which is the distance around the circle, is proportional to the diameter, and this proportionality constant is pi (π).
To prove that the two circles are similar, we need to show that their radii are proportional.
Let's first find the radius of circle A. The center of circle A is at (3, 4), and one point on the circle is (0, 8). The distance between these two points is the radius of the circle:
r_A = √((0 - 3)² + (8 - 4)²) = 5
Now let's find the radius of circle C. The center of circle C is at (0, -1), and one point on the circle is (0, 1). The distance between these two points is the radius of the circle:
r_C = √((0 - 0)² + (1 - (-1))²) = 2
So the ratio of the radii of the two circles is:
r_A / r_C = 5 / 2
Next, we need to show that the distance between corresponding points on the two circles is also proportional to the ratio of the radii. Let's take the point (0, 0) on circle A and the corresponding point (2, 0) on circle C. The distance between these two points is:
d = √((0 - 2)² + (0 - (-1))²) = √(5)
So the ratio of the distances is:
d_A / d_C = √(5) / 2
Since the ratio of the radii is equal to the ratio of the distances between corresponding points on the two circles, we can conclude that the two circles are similar.
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Imagine math Item 994395
Start with the equation 0.2=0 to explain why -4-2 must equal -8.
Drag descriptions and equations to the table to complete the explanation.
In order to explain why -4 - 2 equals -8, let's start with the equation 0.2 = 0. By analyzing this equation, we can uncover the reason behind this seemingly counterintuitive result.
1. Begin with the equation 0.2 = 0.
2. Subtract 0.2 from both sides of the equation to isolate the variable: 0.2 - 0.2 = 0 - 0.2.
This simplifies to 0 = -0.2.
3. Observe that the right side of the equation, -0.2, is a negative number.
4. Recall that subtracting a negative number is equivalent to adding its positive counterpart. Therefore, -0.2 is the same as +0.2.
5. Rewrite the equation as 0 = +0.2.
6. Notice that 0 on the left side of the equation is equal to 0 + 0, since any number added to zero remains unchanged.
7. Substitute 0 + 0 for 0 in the equation: 0 + 0 = +0.2.
8. Simplify the equation to 0 = +0.2.
9. Finally, recognize that a positive number cannot equal zero. Hence, the equation 0 = +0.2 is false.
10. As a result, the original equation 0.2 = 0 is invalid.
11. Therefore, the logical consequence is that any subsequent deductions based on this invalid equation would also be incorrect.
12. Consequently, -4 - 2 does not equal -8, as per the explanation derived from the flawed equation.
To summarize, by analyzing the equation 0.2 = 0, we can determine that subsequent deductions based on this equation are incorrect. Hence, -4 - 2 does not equal -8.
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write 194.218 in expanded form
What is the least common multiple of 41 and 50?
PLEASE HELP ME!!!!!!!
Answer:
2050
Step-by-step explanation:
Please help quickly I'm begging!
Assignment details: In this assignment, you will create two graphs and answer questions about Bond's Gym, the business you are supporting.
The functions are f(x) = 600 - 10x & g(x) = 20/3x, and the graphs are added as attachments
Creating the functions of the Bond's GymFrom the question, we have the following parameters that can be used in our computation:
The table of values
For the membership application, we have the following features
Initial value = 600Constant rate of change = (450 - 600)/(15 - 0) = -10So, the function is
f(x) = 600 - 10x
For the membership available, we have the following features
Initial value = 0Constant rate of change = (100 - 0)/(15 - 0) = 20/3So, the function is
g(x) = 20/3x
So, the functions are f(x) = 600 - 10x & g(x) = 20/3x
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Round 18,792 to the nearest thousand is the answer 18,790 or 00019 or 00018 or 18800 please due today please give brainiest.
Answer:
The answer is 19,000
Step-by-step explanation:
18,792 you round to the thousand which is 8 and the number after is 7 which is above 5 so the 8 turns into a 9
Answer:
19000
Step-by-step explanation:
18,792
Rounding to the nearest thousand
The 8 is in the thousands place
We look at the number in the hundreds place, 7
It is 5 or higher so we will round the 8 up to 9 and everything else to the right will become zeros
18,792 becomes 19000
5.2: Bowling for Triangles (Part 2)
Here is a visual pattern of dots. The number of dots D(n) is a function of the step number n.
1. What values make sense for n in this situation? What values don't make sense for n?
Using the pattern, n can represent the the increase of dots according to step.
In the given question we have to find what values make sense for n in this situation.
n is representing the number.
As we can see that there is a pattern given.
In the step 1 have 1 dot, in step 2 have 3 dots, in step 3 have 6 dots and in step 4 have 10 dots.
So if we see the pattern then according to number of step the dots increasing accordingly.
As In step 1 have 1 dot, in step 2, 2 dots increase, in step 3, 3 dots increase and in step 4, 4 dots increase.
So, n can represent the the increase of dots according to step.
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m.
x-intercept =
1/2
and y-intercept = 3
Write an equation for the line in point-slope form and in slope-intercept form
Answer:
slope intercept form: y= -6x+3
point slope form: y-0= -6(x -1/2)
Step-by-step explanation:
point slope form: y - y1 = m(x - x1)
substitute the values y-0=-6(x-1/2)
slope intercept form:
find the slope using two given points
m = (y2 - y1) / (x2 - x1)
= (3 - 0) / (0 - 1/2)
= 3 / (-1/2)
= -6
substitute into equation
y= -6x+3
I need help with this one
Step-by-step explanation:
Correct, the dilation is an enlargement .
the base '4' becomes '6' a factor of 1.5 ( because 1.5 * 4 = 6)
The probability that = randomly selected person has high blood pressure (the event H) is P(H) = 0.2 and the probability that randomly selected person Is runner (the event R) is P(R) 0.4. The probability that a randomly selected person has high blood pressure and is runner 0.1. Find the probability that randomly ected person either has high blcod pressure or is runner or both0.6 0.4 0.8 None of the above
The probability that randomly selected person either has high blood pressure or is runner or both is 0.5.
Given:
P(H) = 0.2
P(R) = 0.4
P(H and R) = 0.1
The number of favorable outcomes to all possible outcomes of an event is the ratio, which is known as probability. The number of good outcomes can be represented by the symbol x for an experiment with 'n' number of outcomes. The following equation can be used to determine an event's probability.
Favorable Results/Total Results = x/n, where Probability(Event)
P(H or R) = P(H+P(r)-P(H and R)
= 0.2+0.4-0.1
= 0.5
Hence we get the probability as 0.5
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12 dozen pieces of gum to a box 12 full boxes 1 ooen bix with 32 how many pieces of gum n all
The number of gums available, with the 12 boxes, each containing 12 dozens of gums and one open box containing 32 gums, found using the values of the non verbal units of measure, indicates that the number of gums are 1760 gums.
What is a non verbal unit of measure?Non verbal units of measure are used to describe the quantity of an item using verbal terms such as pairs (2 units), dozens (12 units), scores (20 units), gross (12 dozens or 144 units), bushels (8 gallons or 4 pecks), ream (500 units).
The number of dozens of pieces of gum are in a box = 12 dozens
The number of boxes of gum available = 12 boxes
The remaining number of gums = 1 open box with 32 gums
1 dozen of an items = 12 units of the specified item
12 dozens of an item = 1 gross of the item
The number of pieces of gums in a box, therefore is 1 gross of gums.
Therefore, the number of pieces of gum in all = 12 × 12 × 12 + 32 = 1760
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A concrete column has a diameter of 390 mm and a length of 3 m. If the density (mass/volume) of concrete is 2.45 Mg/m^3, determine the weight of the column in pounds.
Answer:
w= 0.83 NStep-by-step explanation:
The column has the shape of a cylinder hence the formula for the volume of a cylinder is
\(v=\pi r^2h\)
Given
diameter d= 390 mm
radius r= 390/2= 195 mm to meter = 0.195 m
length or height h= 3 m
applying the data to the formula we have
\(v=\pi *0.195^2*3\\\\ v=\pi*0.0038*3\\\\ v=\pi*0.0114\\\\ v=0.035 m^3\)
we can now use the volume in addition with the density given to solve for the mass using the expression for density
density= mass/volume
2.45= mass/0.035
mass= 2.45*0.035
mass= 0.085 mg
We know that weight
w= mass* acceleration
w= 0.085*9.81
w= 0.83 N
Determine whether the equation below has a one solutions, no solutions, or an
infinite number of solutions. Afterwards, determine two values of x that support your
conclusion.
x-7=-2
I really need help with this
Answer:
Step-by-step explanation:
Statement Reason
PR ≅ TR Given
<PQR≅<TSR Given
<PRQ≅<TRS Vertical Angles Theorem
PQR=TSR SAS Theorem (Side-Angle-Side)
DD.6 Find side lengths of similar figures
7ZR
You have prizes to reveal!
Go to your game board.
or
If these two shapes are similar, what is the measure of the missing length d?
1 mi
d
6 mi
12 mi
d =
miles
Finn would run 18 miles after 6 track practices.
We have,
Generally, A unit rate is a ratio of two measurements with a denominator of 1. To find the number of miles Finn would run after 6 track practices, we can use the unit rate of miles per practice to multiply by the number of practices.
Unit rate: 6 miles / 2 practices = 3 miles per practice
To find the total number of miles Finn would run after 6 practices, we can multiply the unit rate of 3 miles per practice by the number of practices, 6.
Total miles: 3 miles/practice * 6 practices = 18 miles
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What is the sum of the squares of the first 100 integers?
Anyone good with matrixes and matrices? please help me i need help with 10 questions and I need to raise my grade ASAP please
Answer:
what questions need to be done? We need to know the problems before we answer them. :/
On a map, 1 inch equals 16.3 miles. If two cities are 1.5 inches apart on the map, how far are they actually apart?
Answer: 24.45 miles apart
Step-by-step explanation:
because if its 1.5 inches apart so we already know 1 inch is 16.3 then half and inch is 8.15 so 16.3+8.15 is 24.45
Can someone please help me please?
Answer:
I'ma take a wild guess since I think I'm right I'd say try C
Step-by-step explanation:
don't need one
Answer:
A is the correct answer
Step-by-step explanation:
The horizontal shift results from a constant added to the input. Move the graph left for a positive constant and right for a negative constant.
Using the graph, determine the equation of the axis of symmetry.
Answer:
x = -5
Step-by-step explanation:
If one draws a perfect verticle line at x = -5, one will have exactly 1/2 the parabola on each side. Then is one where to fold the parabola on that line, then there would be no overhang. Hence x = -5 is the axis of symmetry.
2. Three numbers whose product is 64 are 2, 4,
and 8 because 2 x 4 x 8 = 64.
a. Find three numbers whose product is 2.4.
b. Find another set of three numbers whose
product is 2.4.
c. Find three numbers whose sum is 2.4.
d. Find another set of three numbers whose
sum is 2.4.
Answer:
A) 0.8 X 3 X 1 = 2.4
B) 0.3 X 2 X 4 = 2.4
C) 0.4 + 1.5 +0.5 = 2.4
D) 2 + 0.3 + 0.1 = 2.4
Step-by-step explanation:
A) To get three numbers whose product is 2.4, we will have to find out by multiplying three different decimal numbers to see if we can get 2.4. In other words, we are looking for factors of 2.4.
We can start by dividing 2.4 by three.
This will give 0.8 ( which is one of the numbers)
Recall that 1 is also a number and any number multiplied by 1 is itself. We can take one to be our third number.
Our three numbers are 0.8 X 3 X 1 = 2.4
B) To get another set of numbers, we can simply choose to divide 2.4 by 4.
2.4 / 2 = 0.6.
we can also divide 0.6 into 2.
0.6 / 2 = 0.3
Our other three numbers can be 0.3 X 2 X 4 = 2.4
C) Three numbers which can sum up to 2.4 are
0.4 + 1.5 +0.5 = 2.4
D) To get another set of numbers, we can simply break 2.4 up into other simpler numbers.
2 + 0.3 + 0.1 = 2.4
Answer:
The answer is A
Step-by-step explanation:
What is the image of the point
(−9,7) (−9,7) after a rotation of 180∘
counterclockwise about the origin?
The image of the point (-9,7) after a rotation of 180 counterclockwise about the origin is at (9, -7).
What is Dilation?Dilation is a process for creating similar figures by changing the size.
What is the rotation of a point counterclockwise about the origin?Rotation of a point P(x, y) 180 counterclockwise about the origin produces an image at P'(-x, -y).
Here, the point counterclockwise about the origin → (-(-9), -7).
Therefore, the image of the point (-9,7) after a rotation of 180 counterclockwise about the origin is at (9, -7).
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What is the correct algebraic expression of the following statement?
The quotient of two consecutive positive integers with the largest number as the numerator.
x/1
(x + 1)/x
1/x
x/(x + 1)
Answer:
Answer is b
integers = x , x + 1
quotient (larger as numerator) = x+1 / x
What is the slope to this?
Answer:
hozlatie
Step-by-step explanation:
The sum of 263 and 378 is?
Question 8 (1 point)
A cone has a radius of 4 feet on its base. The approximate volume of the cone is 189 ft^3. Determine the height of the cone to the nearest tenth of a foot. Use 3.14 for π.
a
h = 8.2 ft
b
h = 2.5 ft
c
h = 22.6 ft
d
h = 11.3 ft
Answer:
d. h = 11.3 ft
Step-by-step explanation:
volume of cone = \(\frac{1}{3}\)r²\(\pi\)h
r = 4 feet
Put in your values:
\(\frac{1}{3}\)(4)²(3.14)h = 189 ft³
16(3.14)h = 567
50.24h = 567
h = \(\frac{567}{50.27}\) = 11.3
The height of the cone is h = 11.3 feet
What is a Cone?In geometry, a cone is a three-dimensional shape formed by joining a set of line segments from a common point called apex to all the points of the base which is a circle.
Height of the cone is distance from apex to the center of the circular base.
Volume of a cone is defined as the total capacity of the cone and the formula for the same is given by,
V = \(\frac{1\\}{3}\)πr²h
Here, V = 189 ft³, r = 4 ft, π = 3.14
Substituting these values in formula for the volume,
189 = \(\frac{1}{3}\) × 3.14 × 4² × h
189 = \(\frac{50.24}{3}\)h
h = 189 × 3 / 50.24
h = 11.285 ≈ 11.3
Hence the height of the cone with radius 4 ft and volume 189 ft³ to the nearest tenth of a foot is 11.3 ft.
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Rewrite in simplest terms: (5x + 5y) - (-x + 10y)
Answer:
6x - 5y
Step-by-step explanation:
( remove the unnecessary parentheses)
= 5x + 5y + x - 10y
= 6x + 5y - 10y
= 6x + 5y
Hannah makes 5 out of 8 attempted free-throws! What is the average waiting time for Hannah to make her first basket, and what is the probability that she will make a basket on or before her last attempt within her average waiting time?
The probability that she will make a basket on or before her last attempt within her average waiting time are 1/8 and 2/8
How can we interpret probability?Probability of an event is a measurement of how likely an event can occur as an outcome of a random experiment;
Probability ranges from 0 to 1, both inclusive. Events whose probability is closer to 0 are rarer to occur than those whose probabilities are closer to 1 (relatively);
When converted to percentage, we just need to multiply its decimal representation by 100. In percentage form, the probability ranges from 0% to 100%;
Given:
Hannah makes 5 out of 8 attempted free-throws.
Now,
The average waiting time of hannah to make her first basket is 5/8
The probability of hannah making basket at her last attempt is 1/8
The probability of hannah making basket before her last attempt is 2/8
Hence, the probabilty will be 1/8 and 2/8;
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Each big square below represents one whole.
What percent is represented by the shaded area?
Answer:
145%. The left one is 100% and then the right is the 45%.
Given the image below, find the area of the regular polygon. The Perimeter of the
decagon is 80 in.
12.3 in.
Answer:
try 492.43, this should be correct if I did this right
If a circle with a radius of 9 and a central angle of 80° creates a shaded region… what’s the perimeter of that area