Two non-congruent circles intersect and have a common chord 40 cm
long. The centers of the circles are 63 cm apart. The radius of one circle is
52 cm. Find the radius of the other circle.
Please include all work and sketch
Answers
Answer:
25 cmStep-by-step explanation:
The chord and the segment between the centers form the diagonals of a kite with each pair of side being the radius of the circles.
As we know the long diagonal bisects the shorter one and they are perpendicular.
Using Pythagorean, lets find the distance between the center of a greater circle and the chord:
52² - (40/2)² = 2304 ⇒ √2304 = 48 cmThe distance from the center of smaller circle and the chord is:
63 - 48 = 15 cmNow using Pythagorean again, find the radius of the smaller circle:
15² + (40/2)² = 625 ⇒ √625 = 25 cm
Related Questions
Solve for x and y:
Ty– 5x = 45
x = 8 - 2y
O x = 5, y = 10
O x = 5, y = -2
x = -2, y = 5
O x = 4, y = 2
Answers
Answer:
x = -2
y = 5
Step-by-step explanation:
7y - 5x = 45 -------------------(I)
x = 8 - 2y -----------------------(II)
Substitute x = 8 - 2y in equation (II)
7y - 5(8-2y) = 45
7y + 8 *(-5) - 2y*(-5) = 45
7y - 40 + 10y = 45
17y - 40 = 45
17y = 45 + 40
17y = 85
y = 85/17
y = 5
Plugin y = 5 in equation (II)
x = 8 - 2*5
x = 8 - 10
x = -2
The function g(x) = 20,000(1.20)* represents the population of a rapidly growing
city x years after the year 2000.
What does the value g(10) - g(9) represent in terms of the given context?
A. The population was 103,196 people in 2009
B. The population was 123,835 people in 2010
C. There was an increase of 20,639 people from 2009 to 2010.
D. There was an increase of 227,031 people from 2009 to 2010.
Answers
Eddie wanted to know more about how the cost of fertilizer for his lawn-care business was changing. The cost of a bag of fertilizer just increased from $10 to $15. What is the percent increase of the price?
Answers
Help me pls I’ll mark you brainless
Answers
Answer:
b
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
tomen puntos y doy corona al primero que comente hola
Answers
Answer:
hewo nice to meet ya
Step-by-step explanation:
hi hello
Answer:
Hola!
*Spanish*
Gracias por los puntos!
someone please help me answer this!
Answers
Answer:
c = 9.2m is the answer.
Step-by-step explanation:
a = 6m
b = 7m
c = ?
According to the Pythagoras theorem,
a² + b² = c²
6² + 7² = c²
36 + 49 = c²
c² = 85
c = 9.2m
∴ the distance between the school and the candy store is 9.2m
Which Expressions Represent Area?
Answers
Answer:
Step-by-step explanation:
Blackcap birds (Sylvia atricapilla) migrate out of Germany before wintertime. Prior to the 1960s, all members of a particular blackcap population flew to Spain, which had an abundant natural food source. Now, some members of the same blackcap population fly to the United Kingdom, where food placed in feeders by humans is abundant. The blackcaps return to the same forests in Germany to nest during the breeding season.
Some blackcaps that migrate to the United Kingdom have become distinguishable by certain physical and behavioral traits from blackcaps that migrate to Spain. Which of the following best predicts the effect on the blackcap population if humans in the United Kingdom continue to place food in feeders during the winter?
A- The blackcaps that migrate to Spain will selectively mate with the blackcaps that migrate to the United Kingdom, resulting in increased genetic variation in the blackcap population.
B- The blackcaps that migrate to the United Kingdom will become reproductively isolated from the blackcaps that migrate to Spain, resulting in speciation in the blackcap population.
C- The blackcaps in Spain and the United Kingdom will migrate to other geographical locations in search of potential mating partners, resulting in a smaller blackcap population in Germany.
D- The blackcaps will begin nesting at their wintering sites in Spain or the United Kingdom, resulting in a larger blackcap population migrating back to Germany after the breeding season has ended.
Answers
Answer:
D- The blackcaps will begin nesting at their wintering sites in Spain or the United Kingdom, resulting in a larger blackcap population migrating back to Germany after the breeding season has ended.
Step-by-step explanation:
By the inhabitants of Spain and the United Kingdom placing feeders out for the blackcaps, the birds in their nesting sites during the winter will have food to eat, meaning a bigger population of the Blackcaps when they return to their main home in Germany.
This best predicts the effect on the blackcap population if humans in the United Kingdom continue to place food in feeders during the winter.
What is the slope of the line 1/7
Answers
Answer:
3/4
Step-by-step explanation:
Well its a incomplete Question but i am solving a realted type Question .
• Find the slope of the line -3x - 4y = 12 :-
Ans ) The given equation can be converted into Slope intercept form , which is y = mx + c , where ,
m is slope c is y Intercept⇒ -3x -4y = 12
⇒ -4y = 12 +3x
⇒ y = 3x + 12 /4
⇒ y = 3/4x + 12/3
⇒ y = ¾x + 4
Comparing to Standard Form⇒ m = ¾
⇒ c = 4
Hence the slope of the line is 3/4.Liz has 4 times as many points as Joey in a video game. Together they have fewer than 150 points. Which inequality can be used to determine the least number of points that Joey can have?
A. 4x+4<150
B. 4x+4≤ 100
C. 4x+x<150
D.4x+x≥150
I will select u as brilliant :)
Answers
Answer:
C. 4x + x < 150
Step-by-step explanation:
x = Joey's points
4x = Liz's Points
together they have fewer than 150 points means the inequality is < 150
So the answer is: 4x + x < 150
Answer:
This may help you I think so
What is the answer please help no links please no links please no
Answers
Hope that helped XD
A researcher conducted a hypothesis test to see if students on average spend more than 1 hour per homework assignment. The level of significance, a, selected was 0.05. This means that if on average they do spend exactly 1 hour per assignment, then there is a 5% chance that the erroneous conclusion will be made that students spend on average more than 1 hour per assignment.
a. Trueb. False
Answers
Answer:
a. True
Step-by-step explanation:
By ∝= 5% we mean that there are about 5 chances in 100 of incorrectly rejecting a true null hypothesis. To put it in another way , we say that we are 95% confident in making the correct decision.
In the given question the null hypothesis is
H0: u ≤ 1 hour and Ha: u > 1 hour
So there is a 5% chance that the erroneous conclusion will be made that students spend on average more than 1 hour per assignment.
The given statement is true.
Find the sum of the first 20 terms of the sequence {4,10,16,22,...} step by step
Answers
Answer:
All terms separated by 6 so #20 = 4 + 6 * 19 = 118
(if the first term were 6 instead of 4 the 20th would be 120)
Also, #10 = 58 and #11 = 64 (you can use the same reasoning)
The 1st and 20th term add to 4 + 118 = 122
The 2nd and 19th add to 10 + 112 = 122
Likewise 10th and 11th add to 58 + 64 = 122
So 10 * 122 = 1220
max is a 22 year old planning to retire at age 67 he is i vesting in a mutual fund and hopes to earn the average inflation adjusted stock market return of 7% anually. If max deposits $200 per month into this fund, how much can he expect to have when he retires? Show work
Answers
Based on the calculation below, the amount Max can be expected to have when he retires is $758,518.94.
How to calculate the future value (FV)?The amount he will be expected to have when he retires can be calculated using the formula for calculating the future value of an ordinary annuity as follows:
FV = D * (((1 + r)^n – 1) / r) ……………………………….. (1)
Where;
FV = Future value or the expected amount when he retires = ?
D = Monthly deposit = $200
r = monthly average inflation adjusted stock market return = 7% / 12 = 0.07 / 12 = 0.00583333333333333
n = number of months = (67 - 22) * 12 = 540
Substituting the values into equation (1), we have:
FV = $200 * (((1 + 0.00583333333333333)^540 – 1) / 0.00583333333333333)
FV = $758,518.94
Learn more about future value here: https://brainly.com/question/14586629.
#SPJ1
pls help im so confused find m
Answers
Answer:
i think it is 47
Step-by-step explanation:
A circular spinner is divided into 17 sectors of equal area. There are 6 red sectors, 6 blue, 3 yellow, and 2 green. Consider the experiment of spinning the spinner once. Find the probability
that the spinner lands on blue or green.
The probability that the spinner lands on blue or green is
Answers
Answer:
8/17 or 47% or .47
Step-by-step explanation:
8 of them are blue or green and there are 17 total. So 8 out of 17 (8/17) are likely to be spun
The required probability is 8/17 that the spinner lands on blue or green.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
Given that the circular spinner is split into 17 equal-sized sections. There are six red sectors, six blue sectors, three yellow sectors, and two green sectors.
The total number of outcomes. = 6 + 6 + 3 + 2
So n(S) = 17
Number of favorable outcomes i.e. (blue+green), n(E) = 6 + 2 = 8
Consider the experiment of once spinning the spinner.
The probability of the spinner landing on blue or green will be
⇒ P(E) = n(E)/n(S)
⇒ P(E) = 8/17
Therefore, the required probability is 8/17 that the spinner lands on blue or green.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ2
A medical researcher wants to determine whether a drug changes the body's temperature. Seven test subjects are randomly selected, and the body temperature (in degrees Fahrenheit) of each is measured. The subjects are then given the drug and after 20 minutes, the body temperature of each is measured again. The results are listed below. At α=0.05, is there enough evidence to conclude that the drug reduces the body's temperature? Subject 1 2 3 4 5 6 7 Initial Temperature 103.4 102.5 101.1 103.4 102.9 100.2 100.9 Second temperature 99.2 98.4 98.2 99 98.6 99.7 97.8
Answers
Answer:
Step-by-step explanation:
1 kilogram is equal to 1,000 grams. How many grams are in 4 kilograms, 35 grams?
Answers
Answer:
4035 grams
Step-by-step explanation:
Explanation: each kilogram = 1,000 grams
4 kilograms = 4,000 grams
2t + t =68
a. find t
b. fint 2t
Answers
Answer:
t = 22[tex]\frac{2}{3}[/tex]
2t = 45[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
3t = 68
t = 68/3
PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
Answers
4 and 6
1 and 7
Answer choices
18
25
30
40
Please help no links I will report
Answers
Because is 40% and is ok most 50%
Answer:
the 75 person is the 100 percent then 40 is x x=(40 ×100 )÷75x=53 then the nb of people preffar hotdogs ic 53i need help fast, thank you!!!
Answers
Answer:
D
Step-by-step explanation:
30 multiplied by 1.34 is 40.2
Consider the functions k(x) = x + 1, m(x) = x - 4, n(x) = x + 5, and f(x) = k(x) • m(x) · n(x). a. Determine the degree of the function f(x).
Answers
Answer:
[tex]Degree = 3[/tex]
Step-by-step explanation:
Given
[tex]k(x) = x + 1[/tex]
[tex]m(x) = x - 4[/tex]
[tex]n(x) = x + 5[/tex]
[tex]f(x) = k(x) * m(x) * n(x)[/tex]
Required
The degree of f(x)
First, calculate f(x)
[tex]f(x) = k(x) * m(x) * n(x)[/tex]
[tex]f(x) = (x +1) * (x - 4) * (x + 5)[/tex]
Expand
[tex]f(x) = (x +1) * (x^2 - 4x + 5x - 20)[/tex]
[tex]f(x) = (x +1) * (x^2 + x - 20)[/tex]
Further Expand
[tex]f(x) = x^3 + x^2 - 20x +x^2 + x - 20[/tex]
Collect like terms
[tex]f(x) = x^3 + x^2 +x^2 - 20x + x - 20[/tex]
[tex]f(x) = x^3 + 2x^2 - 19x- 20[/tex]
The degree of f(x) is the highest power of x.
Hence:
[tex]Degree = 3[/tex]
The area of a rectangle is 42 square meters. The length is 7 meters. What is the width?
Answers
Ms. Chang has 16 students in her class. She wants to send 3 of her students to pick up books for the class. How many combinations of students can she choose?
Answers
find the absolute value of -5 1/6
brainliest to right answer
Answers
Answer:
The absolute value is 5 1/6
Step-by-step explanation:
The absolute value is how far away an answer is to zero so we just take away the negative for this question.
Use the given graph to determine the limit, if it exists.
Answers
What is the center of the circle given by the equation
(x - 2)^2 + (y + 4)^2 = 6?
A. (-2,-4)
B. (2,-4)
C. (-2,4)
D. (2,4)
Answers
Answer:
B: (2,-4)
Step-by-step explanation:
x-2=0
x=2
y+4=0
y=-4
Answer these two questions ASAP please, help is appreciated.
Answers
Answer:
B and A
Step-by-step explanation:
(A question needs two answers so the asker can have the brainliest option)
Best of luck
Which expressions are equivalent to 16^(3/2)?
Answers
Answer:
16^(3/2)=64
Step-by-step explanation: