(07.01 HC)Prove that the two circles shown below are similar.Circle B is shown with a center at negative 1, 5 and a radius of 4. Circle D is shown with a center of 7, 4 and a radius of 2.
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Answer:
Explanation:
From the information given,
Circle B has center(- 1, 5) and r = 4
Circle D has center(7, 4) and r = 2
Step 1
Translate circle B to circle D such that they have the same center point. We would translate circle B 8 units to the left and 1 unit upwards.
Step 2
We would dilate circle D so that it has same size as circle B. We would find the scale factor . By comparing their radii,
scale factor = radius of B/radius of D = 4/2 = 2
This means that by multiplying circle D by 2, we have two circles with the same radius and center point.
Thus, after using translation and dilation to map Circle D to B, we can conclude that that circle B and D are similar
Related Questions
How many liters are in 260 ounces?
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Answer:
7.68912
Step-by-step explanation:
PLEASE PLS HELP!!!! Find the height of the prism.
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Answer:
\( \cos( \alpha ) = \frac{7}{25} \\ \alpha = (73.73979529169) \\ \ \sin(73.73979529169) = \frac{h}{25} \\ h = \sin(73.73979529169) \times 25 \\ h = 24\)
Ok the photo is bad but please help me because my mom is going to spank me if I don’t get a good grade and I need this assignment done today pls help ME!!
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Answer:
The answer would be greater since its being multiply the answer will always be greater than what you're multiplying.
Step-by-step explanation:
The product WILL be greater than the other two factors. When multiplying by a fraction the product is GREATER than the lesser factor.
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The sequence is decreasing as n increases and sequence converges to the value 0.
The given sequence is defined as aₙ = 1 / (7n + 3).
To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.
As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.
The sequence converges to the value 0.
The sequence is decreasing as n increases.
The sequence converges to the value 0.
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Consider the partial construction of a line parallel to line r through point Q.What would be the final step in the construction?Question 7 options:Draw a line through T and S.Draw a line through Q and S.Draw a line through W and S.Draw a line through P and S.
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This is the complete statement of this exercise:
The figure shows line r, points P and T on line r, and point Q not on line r. Also shown is ray PQ.
Banerjee Company began its operations in September of the current year. During September, the company paid wages of $23,400. For the last quarter of the year, the taxable wages paid amounted to $64,700. None of the employees was paid more than $7,000 this year. a. Is Banerjee Company liable for FUTA tax this year? Yes b. If your answer to part a above is "Yes", what is the net FUTA tax for the year? Round your answer to the nearest cent.
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Banerjee Company is liable for FUTA tax this year and the net FUTA tax for the year is $528.60.
How to find the net FUTA tax?a. Yes. Banerjee Company liable for FUTA tax this year.
b. FUTA tax
FUTA tax =0.6%
Hence,
Net FUTA tax = (Wages paid × tax rate ) +(Taxable wages × Tax rate)
Net FUTA tax = ($23,400 × 0.6%) + ($64,700 ×0.6%)
Net FUTA tax = $140.40 + $388.30
Net FUTA tax =$528.60
Therefore $528.60 is the Net FUTA tax.
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A customer has a credit card that charges 18% simple interest every year. How much interest will the customer save by paying off a credit card debt of 5,00 at the end of i year instead of at the end of 3 years
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Did you get the answer it’s been a week:l
Answer:
$900
Step-by-step explanation:
because 18% of 5,000 is 900
2) A college student saves $6000 working over the summer. Then spends $540
a month when he goes back to college. Write a linear function using
meaningful variables to model this situation. Find and interpret the slope
and y-intercept.
Let m = months and D = Dollars in bank
a) D =
b) What does the slope represent in this situation?
c) What does the y-intercept represent in this situation?
3) An exponential function has a starting value of 13 and a growth rate of
0.78%. Write an equation to model the situation.
Y =
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Answer:
Answer: 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you.
Step-by-step explanation:
84.4% of what number is 19.412?
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Answer: 22.4402
Step-by-step explanation:
Answer:
84.4% of 23 is 19.412.
Step-by-step explanation:
Let the unknown number be x.
Now, 84.4% of x = 19.412.
∴ (84.4 ÷ 100) × x = 19.412.
By simplifying the equation,
x = (19.412 × 100) ÷ 84.4
x = 1941.2 ÷ 84.4
∴ x = 23
Thus, 84.4% of 23 is 19.412.
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Translation to the question
The curve y=2x-x^2 contains along with the x-axel an area. See figure. Calculate the triangles maximum area. Answer exactly.
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\(1/2 * 2 * 1 = 1\) square unit.
Step-by-step explanation:
To find the maximum area of the triangle, we need to locate the vertex of the parabola. This occurs when x=1. The y-coordinate at x=1 is 1. We can then use this as the height of the triangle. The base of the triangle is the distance between x=0 and x=2, which is 2. Therefore, the maximum area of the triangle is 1/2 * 2 * 1 = 1 square unit.
How to write (-8,-4) and (-6,-1) in slope- intercept form
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Answer: = (-8,-4)(-6,-1)=54
Step-by-step explanation:
2 3/4 of 500grams in step by step calculator
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Answer:
To calculate 2 3/4 of 500 grams, follow these steps:
1. Convert the mixed number to an improper fraction:
2 3/4 = (2 x 4 + 3)/4 = 11/4
2. Multiply the improper fraction by 500:
11/4 x 500 = (11 x 500)/4 = 2,750/4
3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:
2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2
Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.
Step-by-step explanation:
What is the diameter
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Answer:
From J to K is the diameter
What is area?
The space inside a circle.
The distance across a circle.
The distance around a circle.
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Answer:
The space inside a circle
Step-by-step explanation:
What is the sum of 4 of the interior angles of a regular octagon?
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Answer:
540°
Step-by-step explanation:
inter angle vertex = 135°
135 + 135 + 135 + 135 = 540°
he entire graph of the function is shown in the figure below.
Write the domain and range of using interval notation.
Someone please help me. I really nee help. this question is due tonight before 8 and im stuck.
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The given graph shows that the function is periodic and fluctuates between y = -2 and y = 2. So, the range of the function is [-2,2].
The graph covers one period, which is from x = -3 to x = 3, and then repeats itself indefinitely in both directions. So, the domain of the function is (-∞, ∞).
In general, the domain of a function consists of all the possible input values that the function can take. In this case, since the function repeats itself indefinitely, it can take any input value from negative infinity to positive infinity.
So, the domain is (-∞, ∞). The range of a function, on the other hand, consists of all the possible output values that the function can produce.
In this case, the function oscillates between y = -2 and y = 2, so the range is [-2,2]. The interval notation for the domain is (-∞, ∞) and for the range is [-2,2].
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Quentin works as a used car salesman, where he earns $8 per hour and an average commission
of $260 per car sold. He wants to earn at least $1040 per week. Write an inequality to represent this scenario, define your variables and explain why you chose them.
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Answer:
Step-by-step explanation:
$8 per hour + average commision $260 per car sold ≥ $1040 per week.
This two numbers can make 1040 dollars a week or less. It depends on how many cars he can sell.
For the function f(x) = x2 - 4. construct and simplify the difference quotient f(x+h)-f(x) h
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Lines MN and GH are parallel. If the measure of angle 6 is 45°, what is measure of angle 4?
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Answer: It will be A that is the best answers
A buyer of a new sedan can custom order the car by choosing from 5
different exterior colors, 3 different interior colors, 2 sound systems, 3
motor designs, and either manual or automatic transmission. How many
choices does the buyer have? /(10 pts)
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Using the Fundamental Counting Theorem, it is found that the buyer has 180 choices.
Fundamental counting theorem:
States that if there are n things, each with \(n_1, n_2, \cdots, n_n\) ways to be done, each thing independent of the other, the number of ways they can be done is:
\(N = n_1 \times n_2 \times \cdots \times n_n\)
In this question:
The options are independent.There are 5 different exterior colors, hence \(n_1 = 5\).There are 3 different interior colors, hence \(n_2 = 3\).There are 2 sound systems, hence \(n_3 = 2\).There are 3 motor designs, hence \(n_4 = 3\).There are 2 transmission options, hence \(n_5 = 2\).Then:
\(N = 5 \times 3 \times 2 \times 3 \times 2 = 180\)
The buyer has 180 choices.
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Min and Jessica collected 60 plastic bottles. They divided the plastic bottles evenly between them and sold the bottles to a recycling center for 10 cents each.
Let n represent the amount of money, in cents, that Min and Jessica each earned from the recycling center.
Which equation could be used to find the amount of money Min and Jessica each earned?
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Answer:
60 / 2 = 30 X .10 = n
Step-by-step explanation:
60 divided by 2 is 30 and then each of those bottles are worth .10 cents and you multiply 30 by .10 and you get 3 that is how much each girl gets
It is reported in USA Today that the average flight cost nationwide is $445.99. You have never paid close to that amount and you want to perform a hypothesis test that the true average is actually greater than $445.99. What are the appropriate hypotheses for this test
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Answer:
\(H_0\) : \(\mu \leq 445.99\)
\(H_a\) : \(\mu > 445.99\)
Step-by-step explanation:
It is given the average cost of the flight nationwide is $ 445.99
I wanted to \(\text{perform the hypothesis test}\) to determine that the true average is greater than $ 445.99
Let the hypothesis that the true average is actually greater than $445.99
Therefore,
the \(\text{null hypothesis}\) for the test is :
\(H_0\) : \(\mu \leq 445.99\)
And the alternate hypothesis is :
\(H_a\) : \(\mu > 445.99\)
suppose that the function h is defined as follows.
(pic attached)
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The graph of the function h is added as an attachment
How to determine the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
Suppose that the function h is defined as follows.
h(x) = -1 if -2.5 < x ≤ -1.5
0 if -1.5 < x ≤ -0.5
1 if -0.5 < x ≤ 0.5
2 if 0.5 ≤ x < 1.5
3 if 1.5 ≤ x < 2.5
The above function is a piecewise function
Next, we graph the individual functions in the function h according to their domain
See attachment for the graph of h
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Can someone please help me thank you !!!!!
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Find the distance between the points (-6, -3) and (3,9).
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Answer: have a good day :)
the distance between the two points is 15.
1/2(b-6)=5
Whats B?
And how did you get it??
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Answer:
16
Step-by-step explanation:
I explained every step in the picture, I hope you understand it.
Juliet has a choice between receiving a monthly salary of $1900 from a company or a base salary of $1800 and a 5% commission on the amount of furniture she sells during the month. For what amount of sales will the two choices be equal?
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Juliet will earn the same amount of money whether she chooses a monthly salary of $1900 from the company or a base salary of $1800 plus a 5% commission on furniture sales if her sales amount to $2000.
To find the amount of sales for which the two salary choices are equal, we set the equation for the base salary plus commission equal to the equation for the flat monthly salary. The equation can be written as:
1800 + 0.05x = 1900
where x is the amount of furniture sales in dollars.
Simplifying and solving for x, we get:
0.05x = 100
x = 2000
If she sells less than $2000 of furniture, she will earn more with the flat monthly salary of $1900. If she sells more than $2000 of furniture, she will earn more with the base salary plus commission. This calculation provides an important decision-making tool for Juliet, as she can tailor her salary choice based on her expected sales for the month.
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The diameter
of the Earth is 1.3 × 10 km.
The diameter of the Moon is 3.5 × 10 km.
The diameter of the Sun is 400 times greater
than the diameter of the Moon.
How many times smaller is the diameter of
the Earth than the diameter of the Sun
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Earth's diameter is 0.0092 times less than the sun's diameter.
Ratio, in math, is a time period this is used to examine or greater numbers. It is used to indicate how large or small a sum is in comparison to another.In a ratio, portions are as compared the use of division. Here the dividend is referred to as the `antecedent' and the divisor is referred to as the 'consequent'. For example, in a collection of 30 people, 17 of them opt for to stroll within side the morning and thirteen of them favor to cycle. We use the ratio formulation whilst evaluating the connection among numbers or portions. The popular shape of representing a ratio of among portions say 'a' and 'b' is a: b, that's examine as 'a is to b'.The Diameter of Earth = 1.3 * 10⁴ km
The Diameter of Moon = 3.5 * 10³ km
Let the diameter of sun be x km
According to the question
The diameter of the sun is 400 times that of the moon.
x = 400 * 3.5 * 10³ km
= 14 * 10⁵ km
The Diameter of earth / diameter of sun
= 1.3 * 10⁴ / 14 * 10⁵
= 0.0092
Hence, The diameter of the Earth is 0.0092 times that of the Sun.
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Greg runs 4 kilometers in 20 minutes. If he keeps running at the same pace, how many kilometers will he run in an hour?
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Answer:
omg i love that song nah im jp its 12
Step-by-step explanation:
Answer:
12 KM
Step-by-step explanation:
One way :
Distance Greg runs in 20 min = 4
Number of 20 min in a hour= 60 / 20 = 3
Distance Greg runs in a hour= 4 x 3 = 12 km
Another way :
Distance Greg runs in 20 min = 4
Distance Greg runs in 1 min = 4 / 20 = 0.2
Distance Greg runs in a hour= 60 x 0.2 = 12 km
Perform the indicated operation on thefollowing polynomials: (6x5 + 3x³ - 2) - (2x5 - 6x³ +7)
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To effetuate addition or subtraction of polynomials, we just have to realize the operation with the coefficients of the corresponding degree.
\(\begin{gathered} P(x)=a_nx^n+a_{n-1}x^{n-1}+...+a_2x^2+a_1x+a_0 \\ Q(x)=b_nx^n+b_{n-1}x^{n-1}+...+b_2x^2+b_1x+b_0 \\ P(x)-Q(x)=(a_n-b_n)x^n+(a_{n-1}-b_{n-1})x^{n-1}+...+(a_2-b_2)x^2+(a_1-b_1)x+(a_0-b_0) \end{gathered}\)Then, performing the given operation, we have:
\(\begin{gathered} (6x^5+3x^3-2)-(2x^5-6x^3+7) \\ =6x^5+3x^3-2-2x^5+6x^3-7 \\ =(6-2)x^5+(3-2)x^3+(-2-7) \\ =4x^5+x^3-9 \end{gathered}\)Thus, this is our answer
\((6x^5+3x^3-2)-(2x^5-6x^3+7)=4x^5+x^3-9\)