Answer:
1) Use translation to coincide the center of a circle with the center of the other circle.
2) We construct the respective loci for the circles.
3) Compare each loci by direct inspection ([tex]f(x,y)[/tex] must be the same and radii must be different but constant) to conclude the similarity of the two circles.
Step-by-step explanation:
Geometrically speaking, a circle is formed after knowing its center and radius.
1) Use translation to coincide the center of a circle with the center of the other circle. In this case, we translate the center ([tex]C_{A} (x,y) = (6,7)[/tex]) of the circle A to the location of the center of the circle B ([tex]C_{B}(x,y) = (2,4)[/tex]):
[tex]C_{A'} (x,y) = (6,7) + [(2,4) - (6,7)][/tex]
[tex]C_{A'} (x,y) = (2,4)[/tex]
2) We construct the respective loci for the circles.
By Analytical Geometric, a circle is represented by the following locus:
[tex](x-h)^{2}+(y-k)^{2} = r^{2}[/tex]
Where:
[tex]x, y[/tex] - Coordinates of a point of the circunference.
[tex]h, k[/tex] - Coordinates of the center of the circle.
[tex]r[/tex] - Radius of the circle.
3) Compare each loci by direct inspection ([tex]f(x,y)[/tex] must be the same and radii must be different but constant) to conclude the similarity of the two circles.
Then, the circles A' and B are represented by the following loci:
Circle A'
[tex](x-2)^{2} + (y-4)^{2} = 16[/tex]
Circle B
[tex](x-2)^{2} + (y-4)^{2} = 256[/tex]
Since both the [tex]f(x,y)[/tex] component of each circle is the same and radii are different but constant, then we conclude that circle A is similar to circle B.
Do any of you know any written answers to the Probability Unit Test for 7th grade? I need a little help!
All tests across the world are different even if they're the same subject and stuff. I think it's easier for you to study, so if you have any questions about them please post them on Brainly!
In a local car lot, 1/6
of the cars have standard transmissions. Find the
probability that 3 of 4 randomly-selected cars have standard transmissions.
Answer: [tex]\dfrac{5}{324}[/tex]
Step-by-step explanation:
Given
Probability that car has a standard transmission is [tex]\frac{1}{6}[/tex]
So, the probability that the car does not have transmission is
[tex]1-\dfrac{1}{6}=\dfrac{5}{6}[/tex]
Probability of that 3 out of 4 randomly selected cars have standard transmissions is given by selecting 3 cars with standard deviation and then multiply by their respective probabilities
[tex]\Rightarrow P=^4C_3\cdot \left(\dfrac{1}{6}\right)^3\cdot \left(\dfrac{5}{6}\right)\\\\\Rightarrow P=4\times\dfrac{5}{6^4}\\\\\Rightarrow P=\dfrac{20}{1296}\\\\\Rightarrow P=\dfrac{5}{324}[/tex]
There are 1,024 players in a tennis tournament. In each round, half the players are eliminated. Which function can be used to find the number of players remaining in the tournament at the end of x rounds?
Answer:
1,024 ÷ by how many number of rounds= x
Answer:
1,024(0.50)^x That is the answer......................................
Math Question:
Pls help I will do anything
Answer:
The probability of spinning red is [tex]\frac{1}{3}[/tex], the probability of spinning a 1 is [tex]\frac{1}{6}[/tex], the probability of spinning an odd number is [tex]\frac{1}{2}[/tex], and the probability of spinning a 9 is 0.
Step-by-step explanation:
Since there are a total of 6 possible outcomes, you can use this in the following questions. There are 2 red tiles, so the probability of spinning red is [tex]\frac{2}{6}[/tex] or [tex]\frac{1}{3}[/tex]. Since there are only one 1 tile, the probability of spinning a 1 is [tex]\frac{1}{6}[/tex]. Since there are three odd numbers, the probability of spinning an odd number is [tex]\frac{1}{2}[/tex]. Since there are no 9 in the spinner, the probability of spinning a 9 is 0 or never.
Please help me answer this
Answer:
area of the square=12×12
=144 cm²
area of the circle (radius=12/2=6 cm
πr²
3.142×6²
=113.112 cm²
area of the square-area of the circle
144. -113.112
30.888 cm²
Area of the shaded region=30.888/4
=7.722 cm²
cuantos kilometros tiene tokyo
Answer:
90 km
Step-by-step explanation:
MNOP is trapezium. The distance between MN and PQ is 21cm and MN= 28cm, while PQ= 25cm. Find the area.
Answer:
556.5 cm²
Step-by-step explanation:
Area of trapezium :
Area = 1/2 (a + b)h
a = base length 1
b = base length 2
h = height
From the information given :
Distance between MN and PQ = Height, h = 21 cm
Base MN, a = 28 cm
Base PQ, b = 25 cm
Hence,
Area = 1/2 (28 + 25) * 21
Area = 1/2 (53) * 21
Area = 556.5 cm²
A triangle has angle measurements of 53°, 37°, and 90°. What kind of triangle is it?
Tom is building a pool. He plans to dig a hole 20 feet wide and 50 feet long. He wants the pool to hold 7500 cubic feet of water. How deep must he dig the hole?
Answer: 7.5 feet
Step-by-step explanation:
.
please help me ill mark brainlest
Answer:
C
Step-by-step explanation:
please do this <33333
We know that,
In a right-angled triangle,
Hypotenuse ² = Base ² + Height ²
1 – 10 ² = 6 ² + X ²
Or, X ² = 10 ² – 6 ²
Or, X ² = 100 – 36
Or, X ² = 64
Or, X = √ 64
Or, X = 8 Units
2– X² = 7² + 3²
Or, X² = 49 + 9
Or, X² = 58
Or, X = √58
Or, X = 7.61 Units ( Approx )
3 – 15 ² = EF ² + 9
Or, EF² = 15 ² – 9 ²
Or, EF ² = 225 – 91
Or, EF ² = 134
Or, EF = √ 134
Or, EF = 11.6 Inches ( Approx)
.II} 1 – Here the length of the ladder will be the hypotenuse.
Hence, Hypotenuse = 13 Metre
.Now, The vertical wall will be the height.
Hence, Height = 12 Metre
Distance of the foot of the ladder to the wall will be the base.
Let base be B.
Now, Hypotenuse ² = Base ² + Height ²
Or, 13² = B² + 12²
Or, B² = 13² – 12²
Or, B² = 169 – 144
Or, B² = 25
Or, B = √25
Or, B = 5 Metre
Hence, the distance of the foot of the ladder from the wall is 5 metre apart.
I am very confused- Can someone help within an hour-
Use the diagram to answer the question.
35.6 m
23.4 m
15.2 m
23.4 m
What is the area of the triangle?
OA. 82.40 m²
B. 97 60 m2
Answer:
B97.60
Step-by-step explanation:
I got b bc if u add all the number up u get that answer.
if i dont get this answer done by 7:30 my moms gonna b e mad at me, please help me and also please no files i dont understand them =_=
Answer:
gotchu.
c = 36
Step-by-step explanation:
First add five to each side.
c/4 = 9
then you multiply by four:
c=36
HeLP me ASAP PLEASE ASAP i will give 50 points for the right answer
5(2x-1) expanded
Please help
Answer:
the answer would be 10x-5
Step-by-step explanation:
Because u multiply the 5 by each number within the parentheses.
If Jaliya has 5 paintings and paints 6 more how much does she have now?
Answer:
11
Step-by-step explanation:
5+6
Can someone please help me with math.
Answer:
4: No
5: A
Step-by-step explanation:
4: The mapping does now represent a function. In a function each x value can only have 1 corresponding y value ( meaning that the x values can not repeat.) In the mapping the x value 3 corresponds with 2 y values therefore the mapping is not a function.
5.
Formula for volume of a cylinder = [tex]V=\pi r^2h[/tex]
Where r = radius and h = height
The cylinder shown has a given diameter of 22ft and a given height of 10ft
In order to use the formula we must convert the diameter to radius.
To do this we divide the diameter by 2 ( this is because the radius is equal to half the diameter )
so radius = 22/2 = 11
Now we plug in the dimensions into the formula
[tex]V=\pi 11^210\\11^2=121\\121*10=1210\\1210\pi[/tex]
Remember, it says " Leave your answer in terms of pi," therefore we do not apply pi and leave it as 1210π
We can conclude that the answer is A
please help me ill give you the crown thing if its right no joke
Answer: Third option
Step-by-step explanation:
The amount in each of the 3 busses (g) is fixed and equal, so 200+3g represents that
Can anyone give me an answer to this? Help is serverly needed...
When 6 times a number, x, is added to 7, the result is equal to thirteen more than 7 times the same number, what is the value of x
Answer:
x = -7
Step-by-step explanation:
Seven times a number and seven is equal to six times a number.
Word problems can be tricky no matter what level of math or science you are in.
First look at the question for words that indicate mathematical symbols.
"times" indicates multiplication
"and" indicates addition
"a number" means we have a variable, x, to solve for
Now we can go from left to right and write it in a mathematical equation
7x + 7 = 6x
Then, solve for x
7x + 7 = 6x
7 = 6x - 7x
7 = -1x
7/-1 = x
x = -7
Finally, we check our work.
7x + 7 = 6x
7(-7) + 7 = 6(-7)
-49 + 7 = -42
-42 = -42 √
The answer is x = -7
What is the average rate of change of f(x)=x2+x−6 between x=1 and x=3 ?
A
5
B
–5
C
15
D
10
Answer:
10
Step-by-step explanation:
Substitute 1 in place of x and the result is -4.
Again substitute 3 in place of x and the result is 6.
Change=6-(-4)=10
Please Answer these ASAP Find the area.
1. Determine the value of the bases, b and B, used to determine the volume in the object below.
2. Find the area. The polygon is regular. Round answer to the nearest tenth
Answer:
polygon is regular. Round answer to the nearest tenth
Step-by-step explanation:
[tex]36 - 6 \times = \frac{ < \sqrt{ \geqslant \binom{ | |4)6300 \times - 9x55.90660606.. \sqrt{. \geqslant 522 \sqrt[25h \\ ]{?} \times \frac{?}{?} \times \frac{?}{?} } | | \times \frac{?}{?} }{?} } }{?} \times \frac{?}{?} [/tex]Joey has $350 in his bank account. He pays $15.50 each month for 6 months. 6 months is done how much does joey have in his bank account?
Answer:
Joey has $257 dollars after 6 months.
Step-by-step explanation:
6*$15.50 = $93
$350 - $93 = $257
Have a nice day! :-)
Answer:
he has 257 in his bank account
Step-by-step explanation:
[tex]15.5 \times 6 = 93[/tex]
[tex]350 - 93 = 257[/tex]
a. This dot plot shows the ages of students in a swimming class. How many students
are in the class?
Based on the dot plot, do you agree with each of the following statements? Explain
your reasoning.
b. The class is an adult swimming class.
C. Half of the students are between 2 and 3 years old.
Answer:16 students and C is right
Step-by-step explanation:
Add all the dots to get the number of students. C is correct because it is ages in months,not years.
Answer:
bbbbbb
Step-by-step explanation:
b ba bbssnbsn ss
Simplify:
8x4 – 3x – 7 = [?]
x=-1
Answer:
4
Step-by-step explanation:
8×(-1)⁴-3×(-1)-7=8+3-7=4
Answer:
4
Step-by-step explanation:
Substitute x = - 1 into the expression
8[tex](-1)^{4}[/tex] - 3(- 1) - 7
= 8(1) + 3 - 7
= 8 + 3 - 7
= 11 - 7
= 4
In the above figure, m∠A = 22° and m∠B = (2x + 16)°. If angles A and B are complementary angles, what are the value of x and the measure of angle B?
A.
x = 26, m∠B = 68°
B.
x = 71, m∠B = 158°
C.
x = 48, m∠B = 68°
D.
x = 26, m∠B = 52°
Answer:
A.
Step-by-step explanation:
22+(2x + 16)+90=180
combine like terms: 90+22+16=128
180-128=52
52=2x
52/2 = 2x/2
26 = x
(2*26+16) - angle B
PLEASE PLEASE HELP, AND SHOW WORK. IM LATE ON THIS
Answer:
D is the answer
Step-by-step explanation:
If 18 percent of the beads in a bag are green, 25 percent are red and 40 percent are purple. What is the probablity of choosing a green bead then a red bead
Answer:
[tex]P(G\ then\ R)=0.045[/tex]
Step-by-step explanation:
From the question we are told that:
Percentage of Green beads [tex]P_g=18[/tex]
Percentage of Red beads [tex]P_r=18[/tex]
Percentage of Purple beads [tex]P_p=18[/tex]
Therefore
Probability of choosing a Green bead is
[tex]P(G)=0.18[/tex]
Probability of choosing a Red bead is
[tex]P(R)=0.25[/tex]
Generally the equation for choosing a green bead then a red bead is mathematically given by
Since Outcomes are independent
[tex]P(G\ then\ R)=0.18*0.25[/tex]
[tex]P(G\ then\ R)=0.045[/tex]
Given that the student chosen was a female, find the probability that the student chose invisibility as their superpower. P\left( \text{invisibility }| \text{ female} \right)=P(invisibility ∣ female
Answer:
[tex]P(Invisibility | Female) = \frac{2}{3}[/tex]
Step-by-step explanation:
Given
See attachment for two-way table
Required
Determine [tex]P(Invisibility | Female)[/tex]
This is calculated using the following formula for conditional probability:
[tex]P(Invisibility | Female) = \frac{n(Invisibility \& Female)}{n(Female)}[/tex]
From the attached table
[tex]n(Invisibility \& Female) = 32[/tex]
[tex]n(Female) = 48[/tex]
So, the equation becomes:
[tex]P(Invisibility | Female) = \frac{32}{48}[/tex]
Simplify
[tex]P(Invisibility | Female) = \frac{32/16}{48/16}[/tex]
[tex]P(Invisibility | Female) = \frac{2}{3}[/tex]