Answer:
3
Step-by-step explanation:
WILL GIVE BRAINLEST 50 POINTS!
6.9.4 Journal: Similar circles
Scenario: Prove That All Circles Are Similar
Instructions
View the video found on page 1 of this Journal activity.
Using the information provided in the video, answer the questions below.
Show your work for all calculations.
The Students' Conjectures:The two students have different methods for proving that all circles are similar.
1. Complete the table to summarize each student's conjecture about how to solve the problem. (2 points: 1 point for each row of the chart)
Classmate Conjecture
John
Teresa
Evaluate the Conjectures:
2. Intuitively, does it make sense that all circles are similar? Why or why not? (1 point)
Yes just because some are small and some are big doesn't mean that they are different. And the formula for a circles circumference is C=2pi r and 2 and pi are alaway the same the only thing that changes is r.
Construct the Circles:
3. Draw two circles with the same center. Label the radius of the smaller circle r1 and the radius of the larger circle r2. Use the diagram you have drawn for questions 3 – 10. (2 points)
4. In your diagram in question 3, draw an isosceles right triangle inscribed inside the smaller circle. Label this triangle ABC. (1 point)
5. What do you know about the hypotenuse of △ABC? (2 points)
6. In your diagram in question 3, extend the hypotenuse of △ABC so that it creates the hypotenuse of a right triangle inscribed in the larger circle. Add point Y to the larger circle so it is equidistant from X and Z. Then complete isosceles triangle XYZ. (1 point)
7. What do you know about the hypotenuse of △XYZ? (2 points)
8. How does △ABC compare with △XYZ? Explain your reasoning. (2 points)
9. Use the fact that △ABC ≈ △XYZ to show that the ratio of the radii is a constant. (2 points)
Making a Decision
10. Who was right, Teresa or John? (1 point)
Further Exploration:
11. What is the circumference of the circle that circumscribes a triangle with side lengths 3, 4, and 5?
Answer:I see the questions but is there supposed to be a chart or is it just questions?
Step-by-step explanation:
Answer:
I got the first one which is
John -if a circle is put it into the center of another and dilate to show that they are similar.
Teresa - says that if all corresponding parts of two circles have the same ratio they are similar.
Yes, all circles seem to be similar
Eighteen individuals are scheduled to take a driving test at a particular DMV office on a certain day, eight of whom will be taking the test for the first time. Suppose that six of these individuals are randomly assigned to a particular examiner, and let X be the number among the six who are taking the test for the first time. a. What kind of a distribution does X have (name and values of all parameters)
Answer:
X has an hypergeometric distribution, with parameters:
Size of the population is N = 18.
Size of the sample is n = 6.
Number of successes n is k = 8.
Step-by-step explanation:
The people are chosen without replacement, which means that the hypergeometric distribution is used.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Eighteen individuals are scheduled to take a driving test at a particular DMV office on a certain day, eight of whom will be taking the test for the first time.
This means that [tex]N = 18, k = 8[/tex]
We consider a success being a person taking the test for the first time, because X is the number among the six who are taking the test for the first time.
Suppose that six of these individuals are randomly assigned to a particular examiner.
This means that [tex]n = 6[/tex]
a. What kind of a distribution does X have (name and values of all parameters)
X has an hypergeometric distribution, with parameters:
Size of the population is N = 18.
Size of the sample is n = 6.
Number of successes n is k = 8.
18 ÷ {[(7 × 2) − (26 ÷ 2)] + 1} =
Answer:
9
Step-by-step explanation:
18 ÷ {[(14) - (13)] + 1}
18 ÷ {1+1} =
18 ÷ 2 = 9
Hope that helps!
Please help ASAP math question
Answer:
2/3
Step-by-step explanation:
You divide the numerator and denominator by 8
Robin hood plans to use a 54 ft ladder to reach the castle window of Maid Marian. Little John, who made the ladder, advised Robin that the angle of elevation of the ladder must be between \displaystyle 55^{of}55 o and \displaystyle 70^{of}70 o for safety. What are the minimum and maximum heights that can safely by reached by the top of the ladder when it is placed against the 50 ft castle wall
Answer:
The minimum height is: 44.24 ft and the maximum is 50.74ft
Step-by-step explanation:
Given
[tex]L = 54[/tex] --- Length of ladder
[tex]55 \le \theta \le 70[/tex]
Required
The minimum and maximum height
The question is illustrated with the attached image:
The height h is calculated using:
[tex]\sin(\theta) = \frac{h}{54}[/tex] --- sine equation
When [tex]\theta = 55[/tex], we have:
[tex]\sin(55) = \frac{h}{54}[/tex]
Make h the subject
[tex]h = 54 * \sin(55)[/tex]
[tex]h = 54 * 0.8192[/tex]
[tex]h = 44.24ft[/tex]
When [tex]\theta = 70[/tex], we have
This gives:
[tex]\sin(70) = \frac{h}{54}[/tex]
Make h the subject
[tex]h = 54 * \sin(70)[/tex]
[tex]h = 54 * 0.9397[/tex]
[tex]h = 50.74ft[/tex]
The minimum height is: 44.24 ft and the maximum is 50.74ft
Determine the length of DE.
Cody's Seafood House purchases
shrimp for $5.00 per pound. If the
shrimp is marked up 65% how much,
will guests pay for 2 pounds of
shrimp ?
Answer:
Try this
Step-by-step explanation:
So what you have to do is turn 65% into a decimal. 65% as a decimal is 0.65.
Then what you want to do is divide 5.00 and 0.65 and see what you get.
Ms. Jenkins stocks a pond with fish. For every 6 bluegill fish, she puts in 1 rock bass fish. Does this ratio mean that Ms. Jenkins puts 6 bluegill fish into the pond? Explain your reasoning.
Answer:
Ms. Jenkins puts for every 6 bluegill fish one rock bass fish so she puts the number multiple of 7
Which expression is equivalent to -1/3(6x + 15) - 3?
Answer:
6-x=0
Step-by-step explanation:
-2x+12=0(divide by 2)
6-x=0
Answer:
D is the answer
-2x-8
Step-by-step explanation:
I hope this helps! ^^
A cake pan in the shape of a right triangle is shown below. What is the volume of the open area of the cake pan? A. 90 cubic inches B. 45 cubic inches C. 120 cubic inches D. 180 cubic inches
Answer:
Im pretty sure its d
Step-by-step explanation:
im not sure but i’m sorry if its wrong
Answer:
D. 180
Step-by-step explanation: multiply
Solve the inequality. y - 28 > 53
y > 28
y > 53
y > 81
y > 25
Answer:
y > 81
Step-by-step explanation:
82 - 28 = 54
So, 54 > 53
(I don't know how to explain this properly but this is the answer)
one number is 2 more than another. the difference between their square is 36. what are the numbers
Which expression is equivalent to (3^2)^-2
?
Answer:
I think the answer is 2\9
Step-by-step explanation:
Solve: x + 6 = -11
May I please have help with this?!
Answer:
x=-17
Step-by-step explanation:
subtract 6 from each side and simplify and you'll get -17
Find the exact value of tan 67.5° trig
Answer: 1 + [tex]\sqrt{x} 2[/tex]
There were 208 sixth graders who attended the school dance. If this was 65% of the whole 6th grade, how many 6th graders are there?
Answer:
320
Step-by-step explanation:
x = y/%
x = 208/65%
65% = 0.65
x = 208/0.65
x = 320
Find the volume of the figure
Answer:
66 ft³
Step-by-step explanation:
The figure can be divided into a cuboid and a triangular prism.
Volume of the cuboid = l × w × h
Where l = 6ft, w = 3 ft and h = 2 ft
Volume = 6 × 3 × 2 = 36 ft³
Volume of the triangular prism = Cross sectional area × Width
Where Cross sectional area = 0.5 × 10 ft × 2 ft and Width = 3 ft
Volume = 10 × 3 = 30 ft³
Total volume = Volume of the cuboid + Volume of the triangular prism
∴ Volume of the figure = 66 ft³
Simplify the following expression
7-5/6.7-7/6
Please answer right I will reward with brainalist + 10 points
Answer:
Complementary angles
Step-by-step explanation: Two angles that = 90 degrees is the definition or complementary. Supplementary is 180 degrees. Vertical is just a straight angle. The reason why it isn't a right angle is because a right angle is one individual angle not 2 or more equaling 90 degrees.
Pls answer a and b I will give brainliest answer
Answer:
a. True, b. y = (-1/2)x + 8
Step-by-step explanation:
Because the graph is a straight line, that means that the graph is in fact proportional. For the equation, take the form y = mx+b. Plug in the slope, which is -1/2, and the y-intercept, which is 8, which would give you the equation y = (-1/2)x + 8.
Answer:
1) not proportional - not starting from origin
2) (2,8) - i did it in coordinates
have a great day
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
7/15
Step-by-step explanation:
Multiples of 3 = 3, 6, 9, 12, 15
Multiples of 5 = 5, 10, 15
3, 5, 6, 9, 10, 12, 15 = 7 numbers
Probability = 7/15
Hope that helps!
Answer:
7/15
Step-by-step explanation:
Because it is the "Correct Answer"
One box holds six eggs. If the farmer has 594 eggs, how many boxes of eggs does he have
Divide total eggs by number of eggs per box:
594 / 6 = 99
They has 99 boxes of eggs.
Answer:
594÷6=99
Step-by-step explanation:
YOU DIVIDE THE SUM OF EGGS AND THE NUMBER OF BOX HOLDING
Plz I need help with this how would I go about solving this I really need the answer today thank you will give brainlest
Help please its math triangles..
Answer:
28
Step-by-step explanation:
Add the top and bottom bases, divide by 2, multiply by height.
Write the equation of the quadratic function with vertex (7,9) in Vertex
Form.
9514 1404 393
Answer:
y = (x -7)² +9
Step-by-step explanation:
The vertex form of the quadratic equation is ...
y = a(x -h)² + k . . . . . . . . vertex (h, k); vertical scale factor 'a'
If we use a vertical scale factor of a=1, then putting the vertex (h, k) = (7, 9) into the vertex form gives ...
y = (x -7)² +9
Insert one term between -13 and -119 to create an arithmetic sequence of three terms.
Answer:
-66
Step-by-step explanation:
- 13, ____, -119
first, find the common difference:
-13 - (-119) = 106
next, divide 106 by 2: [tex]\frac{106}{2}[/tex] = 53
so, the common difference is 53.
now, subtract 53 from -13:
-13 - 53 = -66
Answer:
-66
Step-by-step explanation:
the sequence goes -13,-66,-119
just subtract with 53
(decreasing arithmetic sequence)
HELP PLS! BRAINLIEST WILL BE GIVEN
Answer:
Might be C
Step-by-step explanation:
I WILL GIVE BRAINLIEST!! :>
A baker uses 2/7 of a bag of sugar for every batch of cookies. The baker used 4 2/7 bags of sugar yesterday. How many batches of cookies did the baker make?
Answer:
15
4 2/7= 30/7
30/7 times 7/2= 15
A newsletter publisher believes that 49% of their readers own a personal computer. A testing firm believes this is inaccurate and performs a test to dispute the publisher's claim. After performing a test at the 0.05 level of significance, the testing firm decides to reject the null hypothesis. What is the conclusion regarding the publisher's claim?
Answer:
The conclusion regarding the publisher's claim is that the 49% of their readers own a personal computer.
Step-by-step explanation:
The null hypothesis is always opposite of the claim . If the null hypothesis is rejected it means the claim is accepted.
The alternate hypothesis ( claim) is
Ha: u = 0.49
The null hypothesis is
H0 : u ≠ 0.49
The null hypothesis is rejected. The claim is accepted.
The claim ( alternate hypothesis ) was the newsletter publisher believe which is accepted.
The conclusion is drawn that the newsletter publisher was accurate that 49% of their readers own a personal computer.
Which one was the answer A,B,C or D?
Answer:
A
Step-by-step explanation: