We have a golden rule about similarity of figures. It is "All circle are always similar to each other".
In other words, Every circle is dilated version of another circle. To find the value of dilation, we can find the ratio of its redii.
The ratio of radii of two circles is called the scale factor of dilation between them.
Given are two circles with following information :-
Circle 1: center (0, 9) and radius 14
Circle 2: center (0, 9) and radius 7
Finding the ratio of their radii :-
[tex] \frac{Circle\; 1\; radius}{Circle\; 2\; radius} =\frac{14}{7} = 2 [/tex]
So, scale factor is 2. It means circle 1 is a dilation of circle 2 with a scale factor of 2.
Hence, option A is correct i.e. Circle 1 is a dilation of circle 2 with a scale factor of 2.
look at the picture below// 50 points // please help:((
A parabola is the locus of points equidistant from the focus and directrix. This means the distance from the green point is the same to the focus as it is to the directrix. The appropriate choice is ...
... B. 7
Hi there!
I believe your answer would be B. 7. I say this because the focus is the same distance away from the green point as the directrix is away from the point.
Hope this helps!
- Chris
Which regular polygon will most resemble a circle?
square
32-gon
24-gon
dodecagon
Answer:
it is a 32-gon
Step-by-step explanation:
Find three consecutive integers such that the sum of the first and twice the second is 8080 minus three times the third.
really easy math problem 5pts!!!
Consider △DFE. What are the inputs or outputs of the following trigonometric ratios? Express the ratios in simplest terms.
sin(?) = 4/5
cos(F) = ?
tan(D) = ?
Answer:
Sin(F)=4/5
Cos(F)=3/5
Tan(D)=3/4
Step-by-step explanation:
A chemical engineer has tested 56 water samples. These samples make up 25% of the total number of samples that need testing.
??
Select from the drop-down menu to correctly identify the total number of water samples that need testing.
??
There are a total of water samples to be tested. choices a. 1.4 b. 14 c. 168 d. 224
since my uncles farmyard appears to be overrun with dogs and chickens. i asked him how many of each he had. he responded that his dogs and chickens had a total of 148 legs and 60 heads. how many dogs and chickens are there on my uncles farm?
There are 14 dogs and 46 chickens on your uncle's farm.
Explanation:To solve this problem, we can set up a system of equations. Let x be the number of dogs and y be the number of chickens on your uncle's farm.
The number of legs equation can be written as: 4x + 2y = 148 (since dogs have 4 legs and chickens have 2 legs).
The number of heads equation can be written as: x + y = 60 (since both dogs and chickens have 1 head).
We can solve this system of equations by substitution or elimination. Let's use elimination:
Multiplying the second equation by 2, we get 2x + 2y = 120.
Subtracting the new equation from the first equation, we can eliminate the 2y term: (4x + 2y) - (2x + 2y) = 148 - 120. Simplifying, we have 2x = 28.
Dividing both sides of the equation by 2, we find that x = 14. Substituting this value back into the second equation, we find that 14 + y = 60. Solving for y, we get y = 46.
Therefore, there are 14 dogs and 46 chickens on your uncle's farm.
Find the area. a trapezoid with the top part 10.5 the inside side is 7 and the bottom is 34.5 a. 241.5 mm2 c. 157.5 mm2 b. 159.5 mm2 d. 315 mm2
find the amount of the discount on a 140 bicycle that's is on sale for 30% off
Factor by grouping 5x^2 -40x + 3x +24
Daniel puts $80,000 in an account that earns .6% interest compounded annually how much interest does he earn after 15 years
Daniel can earn $7510 interest he get after 15 years of investment.
What is compound interest?Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.
Here, principal = $80,000
Time = 15 years
Rate of Interest = 0.6% compounded annually
We know that,
[tex]A = P(1+i)^n[/tex]
[tex]A = 80000(1 + 0.006)^{15}[/tex]
[tex]A = 80000 X 1.006^{15}[/tex]
A = 80000 X 1.094
A = 87,510.41
Interest = Amount - Principal
= 87510 - 80000
= $ 7,510
Thus, Daniel can earn $7510 interest he get after 15 years of investment.
Learn more about Compound Interest from:
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helppppppppppppppppp
Answer: I think its 5/9
Step-by-step explanation:
Given the following triangles, what additional information is required in order to know that the triangles are congruent because of the ASA congruence criteria?
Answer: < DCQ ≅ <DCE.
Step-by-step explanation: We are given a composite figure of two triangles CDE and CDQ.
In the shown composite figure we can see:
<CDQ ≅ < CDE : Given
CD are common sides of both triangles
Therefore, by reflexive property
CD = CD
We need to apply ASA congruence criteria.
That is Angle Side Angle congruence criteria.
We already got One angle is congruent and one side on both triangles.
We just need one-one more angles in both triangles those would be congruent.
Therefore,
We could choose < DCQ ≅ <DCE.Answer:
<DCQ <DCEStep-by-step explanation:
ODYSSEYA baker is making dough for bread.the number of cups of flour he uses is proportional to the number of loaves he makes. The baker uses 18 3/4 cups of flour to make 5 loaves if bread. Which of the following correctly represents this proportion? Select all that apply.
Ginger earns $18,500 annually and has 22% of her gross earnings
withheld. What is the net amount of her paycheck each pay period if
she is paid biweekly?
a. $156
b. $555
c. $601.25
d. $169.58
WHOEVER ANSWERS FIRST GETS BRAINIEST
Fill in the table, then graph f(x)=-2x-4
What is the value of n?
Enter your answer in the box.
n =
cm
Answer:
8 is the answer you are looking for
Step-by-step explanation: not needed
11) Carlos wants to mix granola and cranberries together to make trail mix. Granola costs $3 per pound and cranberries cost $5.50 per pound. Carlos is willing to spend $29 and wants to make 8 pounds of trail mix. Which system of equations could Carlos use to figure out how many pounds of granola (g) and cranberries (c) she should buy?
Answer:
3g+5.5c=29
g+c=8
Paul, Colin and Brian are waiters.
One night the restaurant earns tips totalling £71.10.
They share the tips in the ratio 2:3:4.
How much more does Colin get over Paul?
When the factors of a trinomial are (x - p) and (x - q) then the coefficient of the x-term in the trinomial is:
A. The difference of -p and -q
B. The product of -p and -q
C. The sum of -p and -q
D. The quotient of -p and -q
The coefficient of the x-term in the trinomial is C. The sum of -p and -q, which is -p - q. therefore ,option C. The sum of -p and -q, which is -p - q is correct.
When the factors of a trinomial are (x - p) and (x - q), you can find the coefficient of the x-term in the trinomial by multiplying these factors together and paying attention to the x-term.
The product of (x - p) and (x - q) is:
(x - p)(x - q) = x^2 - qx - px + pq
Now, notice that the coefficient of the x-term is the sum of the terms that contain 'x,' which are -qx and -px:
Coefficient of the x-term = -qx - px
This can be factored as:
Coefficient of the x-term = x*(-q - p)
So, the coefficient of the x-term in the trinomial is:
C. The sum of -p and -q, which is -p - q
for such more question on coefficient
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Russel throws a soda from the balcony of his house to his friend Jones in the pool. If the soda is released 20 feet from the ground, and is thrown with a downward velocity of 2 ft/s, how long till the soda hits the pool, ignoring air resitance? Use the formula , where h is the height of the soda in feet and t is the time in seconds since Russel threw it. Round your answer to the nearest tenth.
A.
0.5 seconds
B.
0.8 seconds
C.
1.1 second
D.
1.6 seconds
Answer:
C. 1.1 seconds
Step-by-step explanation:
The formula to use is :
[tex]h=ut+\frac{1}{2}at^{2}[/tex]
Where: h is the height of 20 ft, u is the velocity of 2ft/s and a is the gravitational acceleration of 9.8m/s². The acceleration should be converted to ft/sec² to simplify calculations. The value is then 32.15ft/sec².
Substituting these values into the equation:
[tex]20=2t+0.5*32.15t^{2} \\20=2t+16.075t^{2} \\0=16.075t^{2}+2t-20[/tex]
Using the quadratic formula, t can be solved.
a = 16.075, b = 2, c = -20:
[tex]t=\frac{-b+-\sqrt{b^{2}-4ac} }{2a} \\t=\frac{-2+-\sqrt{2^{2}-4(16.075)(-20)} }{2(16.075)}\\t=\frac{-2+-35.92}{32.15}\\t=1.055 \\OR\\t=-1.179[/tex]
The answer cannot be negative, therefore the answer is t = 1.055 ≈ 1.1seconds
use similar triangles EFG and IHG to find the missing distance D.
A polynomial expression is shown below. (mx + 8) (2x − 4)
The expression is simplified to: −6x^2 +28x − 32
What is the value of m?
A. -4
B. -3
C. 3
D. 4
Write true or false. The figure has rotational symmetry
Bryan's puppy has been gaining weight for the last year. The graph shows data about the puppy's weight over time.
Answer:
Option 2. 25 pounds
Step-by-step explanation:
As per graph weight gain of Bryan's puppy is represented by a linear function which is a straight line.
Therefore equation of the line will be y = mx + c
to calculate the value of m we will take two points (endpoints) on the line (0, 0) and (50, 6)
So m = (50-0)/(6-0) = 50/6 = 8.33
since this passes through (0, 0) so c = 0
Equation will be y = 8.33x
Now we have to get the value of y (weigh of puppy) at x = 3.
y = 8.33×3 = 24.99 ≈ 25 lb.
Option 2 is the answer.
Factor.
16x² + 40x + 25
A) (4x - 5)(4x + 5)
B) (4x - 5)(4x - 5)
C) (4x + 5)(4x + 5)
D) (5x + 4)(5x - 4)
If a cylinder has a surface area of 59 square inches and its radius
is 2.1 inches, how tall is the cylinder in inches?
Round to the nearest tenth.
Answer:
5.8
Step-by-step explanation:
Two boys can paint a fence in 5 hours. How many hours will it take 3 boys working at the same rate to paint the fence?
simpliy completely 4m^3/3m^2n * 9n^2/30m^2n^2
2n / 3 m
2 m / 5 n
2 / 3 m n
2 5 m n
WILL GIVE A BRAINLEST
What is the value of [-1.1]
–2
–1
0
1
Final answer:
If the brackets in the expression “[-1.1]” are interpreted as the floor function, the value is “-2”, because the floor function always rounds a number down to the closest lesser whole number.
Explanation:
The question appears to be asking for the value of the mathematical expression “[-1.1]”. However, the notation is a bit unclear. If the brackets denote the floor function, which rounds a number down to the nearest whole number, then the value of “[-1.1]” is indeed “-2” because -1.1 is rounded down to -2.
The floor function basically chops off all decimal points and moves a number to the next lower integer if it's not already an integer. Hence, the correct answer based on the interpretation of the floor function is “-2”.