Answers
Given:
EA = 2EC = 3EB = EA + AB = 2 + 10 = 12ED = EC + CD = 3 + yFormula:
AB × AD = AC × AE
Here if applied:
EA × EB = EC × ED
2 × 12 = 3 × (3 + y)
24 = 9 + 3y
3y = 15
y = 5
Answer:
y = 5
Step-by-step explanation:
Secant: a straight line that intersects a circle at two points.
Segment: part of a line that connects two points.
The given diagram shows two secant segments EB and ED drawn to the circle from one exterior point E. Therefore, using the Intersecting Secants Theorem, the product of the measures of one secant segment and its external part is equal to the product of the measures of the other secant segment and its external part.
⇒ EB · EA = ED · EC
⇒ (2 + 10) · 2 = (3 + y) · 3
⇒ (12)2 = 3(3 + y)
⇒ 24 = 9 + 3y
⇒ 15 = 3y
⇒ y = 5
Related Questions
Use the imaginary number i to rewrite the expression below as a complex number. Simplify
all radicals.
-√√-96
Submit
Work it out
Answers
Step-by-step explanation:
Revin imediat...... ✨.
find the value of x ( fast fast fast)
Answers
The value of x is calculated with the help of a similar triangle is 24.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
In a triangle, if there is a parallel line with any side of the triangle, then the line divides the other sides in the same ratio.
Then we have
x / 12 = 32 / 16
x = 24
Then the value of x is 24.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ1
Need help with this geometric question
Answers
Answer: 95 degrees (not an answer choice)
Step-by-step explanation:
Opposite angles of a parallelogram are congruent, so the left part of the angle is 40 degrees.
Adjacent angles of a parallelogram are supplementary, so the right part of the angle is 55 degrees.
Adding these together, we get 95 degrees.
What are m and b in the linear equation 3+4x+6+2x=y
Answers
Answer:
m = 6, b= 9
Step-by-step explanation:
Simplifying the equation, we get y = 6x + 9.
Matching this up with y = mx + b, we get m = 6 and b = 9.
is the square root of 10 a rational number
Answers
Answer:
No
Step-by-step explanation
The square root of 10 is irrational because it isn't a fraction
A treasure map says that a treasure is buried so that it partitions the distance between a rock and a tree in a 5:9 ratio. Marina traced the map onto a coordinate plane to find the exact location of the treasure.
x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1
y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1
What are the coordinates of the treasure? If necessary, round the coordinates to the nearest tenth.
(11.4, 14.2)
(7.6, 8.8)
(5.7, 7.5)
(10.2, 12.6)
Answers
The correct answer is option B i.e. (7.6, 8.8)
What is Distance?The length along a line or line segment between two points on the line or line segment.
Let the coordinates of the treasure be (x, y).
Let d₁ = distance from the rock to the treasure.
Let d₂ = distance from the tree to the treasure.
d₁ = [tex]\sqrt{x^2 + (y-2)^2}[/tex]
d₂ = [tex]\sqrt{(16-x)^2 + (21-y)^2}[/tex]
We want d₁/d₂ = 5/9 in order to locate the treasure.
Note that 5/9 = 0.556 (approx)
Test (11.4, 14.2)
d₁ = 14.8, d₂ = 8.2, d₁/d₂ = 1.8 Incorrect
Test (7.6, 8.8)
d₁ = 8.2, d₂ = 14.8, d₁/d₂ = 0.554 Correct
Test (5.7, 7.5)
d₁ = 6.13, d₂ = 16.98, d₁/d₂ = 0.36 Incorrect
Test (10.2, 12.6)
d₁ = 12.8, d₂ = 10.2, d₁/d₂ = 1.255 Incorrect
Thus, The correct answer is option B i.e. (7.6, 8.8).
Learn more about Distance from:
https://brainly.com/question/15172156
#SPJ1
Elian is placing a rectangle in the coordinate plane. He knows that the shorter side of the rectangle is half the length of the longer side. He places the longer side on the x-axis. What coordinates should he assign to the top-left vertex of the rectangle? Enter your answer in the boxes. ( , )
A rectangle is in the coordinate plane so that the bottom left vertex is at 0 comma 0, the top left vertex is on the positive side of the y-axis and is labeled question mark comma question mark, the top right vertex is in the first quadrant, and the bottom right vertex is on the positive side of the x-axis and is labeled 2 a comma 0.
Answers
Answer:
(0, a)
Step-by-step explanation:
We can start by imagining this rectangle as a square.
(This is written as if it is a square:)
The distance that a square reaches on the x-axis (assuming it has its lower left point at the origin, like this one does) is the same distance that it reaches on the y-axis.
meaning that we will have (length, 0) along the x-axis and (0, length) along the y-axis
so, if we are to treat this as a square, the point (2a, 0) means that our opposite vertex is (0, 2a)
However, because this length is only half of the length that it would be (if it were a square), we must divide our length by 2
2a ÷ 2 = a
So, the coordinates of the top-left vertex of this rectangle:
(0, a)
Answer:
coordinates of top left vertex: (0, a)
Solve the equation x³ - 5x²+2x+8 = 0 given that - 1 is a zero of f(x)= x3 - 5x²+2x+8.
The solution set is? (Use a comma to separate answers as needed.)
Answers
Answer:
added in the picture
Step-by-step explanation:
added in the picture
Graph h(x) = 6|x| -4
Answers
Answer:
What are the similarities and differences between these data sets in terms of their centers and their variability?
Data Set A: 14, 21, 24, 28, 28, 35
Data Set B: 18, 19, 21, 25, 29, 32
Select from the drop-down menus to correctly complete the statements.
Comparing the centers of the data sets, the median for Data Set A is
Choose...
the median for Data Set B. The mean for Data Set A is
Choose...
the mean for Data Set B.
Answers
The median for Set A is (24+28)/2 = 26
The median for Set B is (21+25)/2 = 23
The mean for set A is (14+21+24+28+28+35)/6 = 25
The mean for set B is (18+19+21+25+29+32)/6 = 24.
Thus, the mean for Data Set A is greater than the mean for Data Set B.
Find each percent of change. 30 is decreased to 6
Answers
Answer:
80
Step-by-step explanation:
we know that 1 percent of 30 is just 30 / 10 which is 3. Is 6 a multiple of 3? yes it is. 6 / 3 = 2. that means 6 is 20 percent of 30 but it hasn't been decreased by 6, it is 6. meaning that the answer is 100 - 20 which is 80
Find the next number in the sequence: 2, 2, 5, 12, 62, 749, 46450,
Answers
Answer:
34791112
Step-by-step explanation:
Please check the attached for the explanation.
The next number for given sequence is 34791112.
The given sequence is 2,2,5,12,62,749,46450,......
What is an arithmetic sequence?An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same.
Each number in the sequence is of the form Number3 × Number2 + Number1 = Number4
5×2+2=12
12×5+2=62
62×12+5=749
749×62+12=46450
So, the required number is
46450×749+62=34791112
Therefore, the next number for given sequence is 34791112.
To learn more about an arithmetic sequence visit:
https://brainly.com/question/10396151.
#SPJ2
Are both 7 and -½ integers? why or why not?
Answers
Answer:
No. (-1/2) is not an integer
Integers involve all the no. +ve and -ve. which can be written without fraction. ie whole no. are counted as integers.
(-1/2) is a fraction
Students in a fitness class each completed a one-mile walk or run. The list shows the time it took each person to complete the mile. Each time is rounded to the nearest half-minute.
5.5, 6, 7, 10, 7.5, 8, 9.5, 9, 8.5, 8, 7, 7.5, 6, 6.5, 5.5
Which statements are true about a histogram with one-minute increments representing the data? Select three options.
A histogram will show that the mean time is approximately equal to the median time of 7.5 minutes.
The histogram will have a shape that is left-skewed.
The histogram will show that the mean time is greater than the median time of 7.4 minutes.
The shape of the histogram can be approximated with a normal curve.
The histogram will show that most of the data is centered between 6 minutes and 9 minutes.
Answers
The histogram will have a shape that is left-skewed. Then the correct option is B.
What is a histogram?A diagram is made up of rectangles whose size is related to a variable's frequency and whose width is comparable to the training sample.
Students in a fitness class each completed a one-mile walk or run. The list shows the time it took each person to complete the mile. Each time is rounded to the nearest half-minute.
5.5, 6, 7, 10, 7.5, 8, 9.5, 9, 8.5, 8, 7, 7.5, 6, 6.5, 5.5
Then the mean will be
Mean = (5.5 + 6 + ..... + 6.5 + 5.5) / 15
Mean = 111.5/12
Mean = 7.4333
Then the median will be
Median = 7.5
The histogram will have a shape that is left-skewed.
Then the correct option is B.
More about the histogram link is given below.
https://brainly.com/question/16819077
#SPJ1
Answer:
The histogram will have a shape that is left-skewed.
The shape of the histogram can be approximated with a normal curve.
The histogram will show that most of the data is centered between 6 minutes and 9 minutes.
Step-by-step explanation:
B/2, D/4, E/5
Raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. The table shows that the amount of water remaining in the bathtub, y, is a function of the time in minutes, x, that it has been draining.
A 2-column table with 4 rows. The first column is labeled x with entries 0, 0.5, 1, 1.5. The second column is labeled y with entries 40, 39.25, 38.5, 37.75.
Answers
The range would be all real numbers such that 0 ≤ y ≤ 40.
The complete question is
Raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. The table shows that the amount of water remaining in the bathtub, y, is a function of the time in minutes, x, that it has been draining. What is the range of this function? all real numbers such that y ≤ 40 all real numbers such that y ≥ 0 all real numbers such that 0 ≤ y ≤ 40 all real numbers such that 37.75 ≤ y ≤ 40\
What is a function ?A function is an algebraic expression which relates an independent variable with a dependent variable.
It always comes with a defined range and domain.
Draining rate is at 1.5 gallons per minute
That would be y = 1.5x +c
at x = 0 , y = 40
Therefore the equation is y = 1.5x + 40
and from the data
It can be interpreted that as the time increases the water is draining
The range would be all real numbers such that 0 ≤ y ≤ 40.
To know more about Function
https://brainly.com/question/12431044
#SPJ1
C would be the correct answer, I just did the test and got the answer correct.
1,000f= 4,135.135135...
what is the answer in fraction form?
Answers
Answer:
f = 4 [tex]\frac{5}{37}[/tex]
Step-by-step explanation:
divide 1000 on both sides.
f = 4.135 repeating (the 135 is repeating.)
Put the .135135135... over 999 because it is repeating. F becomes 4[tex]\frac{135}{999}[/tex]
Simplify. f = [tex]4\frac{5}{37}[/tex]
in a sale, the cost of a coat is reduced from 85 to 67.5
Answers
Answer:
I’m assuming you’re talking about what percentage was taken off, so in that case the answer would be approximately 20.6%
Step-by-step explanation:
67.5/85 X/100
cross multiply then divide by 100 to find for x and you get 79.4117
then, subtract this number from 100 and you will get 20.6%
Solve the compound inequality .
2w-2<-8 and 4w+3<11
Write the solution in interval notation. If there is no solution, enter 0
Answers
Answer: [tex](-\infty, -3)[/tex]
Step-by-step explanation:
[tex]2w-2 < -8\\\\2w < -6\\\\w < -3[/tex]
[tex]4w+3 < 11\\\\4w < 8\\\\w < 2[/tex]
So, the solution is [tex](-\infty, -3)[/tex]
what is the value of x
Answers
Answer:
FROM THE CALCULATIONS THE ANSWER IS B!
Write the mathematical expression for cost of each item if y items cost a
total of $25.00.
Answers
Assume that BK Call Center receives 2 phone calls in one hour on average. If the department works 10 hours a day receiving the class, find the probability,
A. Exactly 20 calls will be received at a particular day
B. No call is received in a particular hour
C. At least 1 call will be received in a particular hour
Answers
Using the Poisson distribution, the probabilities are given as follows:
A. 0.0888 = 8.88%.
B. 0.1354 = 13.54%.
C. 0.8646 = 86.46%.
What is the Poisson distribution?In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters are:
x is the number of successese = 2.71828 is the Euler number[tex]\mu[/tex] is the mean in the given interval.Item a:
10 hours, 2 calls per hour, hence the mean is given by:
[tex]\mu = 2 \times 10 = 20[/tex].
The probability is P(X = 20), hence:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 20) = \frac{e^{-20}20^{20}}{(20)!} = 0.0888[/tex]
Item b:
1 hour, hence the mean is given by:
[tex]\mu = 2[/tex]
The probability is P(X = 0), hence:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-2}2^{0}}{(0)!} = 0.1354[/tex]
Item c:
The probability is:
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1354 = 0.8646[/tex]
More can be learned about the Poisson distribution at https://brainly.com/question/13971530
#SPJ1
[tex]\frac{1}{28} + \frac{1}{70} + \frac{1}{130} + \frac{1}{208} + \frac{1}{304} = ?[/tex]
Evaluate this expression.
Answers
Considering the least common multiple of the denominators, it is found that the result of the expression is given by:
[tex]\frac{9100}{138320}[/tex]
How do we add fractions?We place all the terms of the addition in "equivalent" fractions, with the same denominator, found from the last common multiple of all the denominators.
In this problem, the denominators are as follows: 28, 70, 130, 208, 304. Using a calculator, their lcm is of 138,320.
Considering equivalent fractions(the numerators are the division of the lcm by the previous denominator), the expression is:
[tex]\frac{4940}{138320} + \frac{1976}{138320} + \frac{1064}{138320} + \frac{665}{138320} + \frac{455}{138320} = \frac{4940 + 1976 + 1064 + 665 + 455}{138320} = \frac{9100}{138320}[/tex]
More can be learned about the addition of fractions at https://brainly.com/question/78672
#SPJ1
A major airline is planning to purchase new airplanes. It wants to borrow $800 million by
issuing bonds. The bonds are for a 10-year period with simple interest computed quarterly at
a rate of 2 percent per quarter. Interest is to be paid each quarter to bondholders.
How much (in millions) will the airline have to pay in quarterly interest? $
million
How much interest (in millions) will it pay over the 10-year period? $ million
Answers
Answer:
look at the picture
Step-by-step explanation:
look at the picture
A theme park had 1099 visitors in 3 days. There were twice as many visitors on saturday than on Friday. There were 234 more visitors on Sunday than on Saturday. How many visitors were there on Saturday?
Answers
Answer:
346
Step-by-step explanation:
Visitors on Friday(x)+Visitors on Saturday(2x)+Visitors on Suday(2x+234)
x+2x+2x+234=1099
5x+234=1099
5x=1099-234
5x=865
x=865/5
x=173
So, visitors on Saturday = 2x = 346
Given f of x is equal to the quantity x plus 6 end quantity divided by the quantity x squared minus 9x plus 18 end quantity, which of the following is true?
A- f(x) is decreasing for all x < 6
B- f(x) is increasing for all x > 6
C- f(x) is decreasing for all x < 3
D- f(x) is increasing for all x < 3
Answers
Answer:
Step-by-step explanation:
The graph of the given f(x) shows you what you need to know. Nothing cancels. Two answers are going to be true: one for x<3 and one for x>6.
From the graph, you can see that for x>6 the graph is decreasing. That makes B incorrect.
You can also see that for x < 6 The bottom parabola shape is decreasing which makes A true.
Finally at least one of C or D has to be true. As you can see, they both are depending on which shape you look at.
The correct answer is B: f(x) is increasing for all x > 6.
To determine the intervals of increase and decrease for the function f(x), we can analyze the critical points and the behavior of the derivative. The derivative of f(x) is given by:
f'(x) = [(x² - 9x + 18)'(x + 6) - (x + 6)'(x² - 9x + 18)] / (x² - 9x + 18)²
Simplifying the derivative and finding the critical points, we get:
f'(x) = (x² - 3x - 18) / (x² - 9x + 18)²
Setting the numerator equal to zero and solving for x, we find the critical points:
x² - 3x - 18 = 0
(x - 6)(x + 3) = 0
x = 6 or x = -3
Analyzing the intervals created by the critical points and using test points, we find that f(x) is increasing for all x > 6. Therefore, the correct answer is B: f(x) is increasing for all x > 6.
To know more about derivative:
https://brainly.com/question/32963989
#SPJ3
Nick volunteers at the library shelving books.
The graph shows how many books Nick shelves one Saturday.
Graph of a diagonal line on a coordinate plane with ALTDCTime in hoursALTDC on x-axis and ALTDCNumber of BooksALTDC on y-axis. The diagonal line is going up and to the right. Line passes through points (0, 0), (2, 60) and (4, 120).
Part A
How many books does Nick shelve in 2 hours? Enter your answer in the box.
Answers
The book does nick shelve in 2 hours is 60.
What is graph?
Given coordinates:
(0, 0), (2, 60) and (4, 120).
If we look at the coordinates (2, 60)
The value corresponds to 2 hours is 60.
Hence, the book nick shelves in 2 hours is 60.
Learn more about graph here:
https://brainly.com/question/16608196
#SPJ1
A ship leaves port at 1 pm traveling north at the speed of 30 miles/hour .at 3 pm the ship adjusts its course20° eastward. Sketch a diagram to show the path the ship moved and the distance the ship is from the port. And how far the ship is from the port at 4pm?
Answers
The ship is 88.8 miles far from the port at 4 pm.
Given,
The displacement from 1 to 3 in the afternoon.
D1 = 30 miles/hr × 2 hr
= 60 miles to the north
The displacement from 3 till 4 in the afternoon.The ship changes its course 20 degrees eastward at 3 o'clock.
Therefore, D2 = 30 miles/hr × 1 hr
= 30 miles to the 20° north eastward
By combining two vectors, the resulting displacement:
D = √((D1 ₊ D2 × cos(20°))² ₊ (D2 × sin(20°))²
D = √((60 ₊ 30 × cos (20°))² ₊ (30 × sin(20°))²
D = 88.8 miles
Hence the ship is 88.8 miles far away from the port at 4 pm.
Learn more about "Law of sines and cosines" here-
brainly.com/question/13098194
#SPJ10
Which number is irrational?
OA. 0.45
OB. 0.636363...
O C. √25
OD. √6
Answers
Answer:
D. Sqroot6
Step-by-step explanation:
6 is not a perfect square. So it is a non-repeating decimal that never ends
sqroot6 ~=
2.4494897428...
this is an irrational number.
The rest on the numbers can be written as a ratio:
0.45=45/100=9/20
0.63636363
= 63/99 = 7/11
sqrt25 = 5 = 5/1
that means they are rational.
Clarinex-D is a medication whose purpose is to reduce the symptoms associated with a variety of allergies. In clinical trials of Clarinex-D, 5% of the patients in the study experienced insomnia as a side effect. As random sample of 20 Clarinex-D users is obtained, and the number of patients who experienced insomnia is recorded. Find and interpret probability that 3 or fewer experienced insomnia as a side effect.
Answers
Using the binomial distribution, it is found that there is a 0.9842 = 98.42% probability that 3 or fewer experienced insomnia as a side effect, which means that it is a highly likely event.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.The values of the parameters are given as follows:
n = 20, p = 0.05.
The probability that 3 or fewer experienced insomnia as a side effect is given by:
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
Hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{20,0}.(0.05)^{0}.(0.95)^{20} = 0.3585[/tex]
[tex]P(X = 1) = C_{20,1}.(0.05)^{1}.(0.95)^{19} = 0.3774[/tex]
[tex]P(X = 2) = C_{20,2}.(0.05)^{2}.(0.95)^{18} = 0.1887[/tex]
[tex]P(X = 3) = C_{20,3}.(0.05)^{3}.(0.95)^{17} = 0.0596[/tex]
Then:
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.3585 + 0.3774 + 0.1887 + 0.0596 = 0.9842[/tex]
0.9842 = 98.42% probability that 3 or fewer experienced insomnia as a side effect.
Since this probability is greater than 95%, this is a highly likely event.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
#SPJ1
What is the simplified form of StartRoot 100 x Superscript 36 Baseline EndRoot ?
10x Superscript 18
10x Superscript 6
50x Superscript 18
50
Answers
The simplified form of the expression √(100x³⁶) will be 10x¹⁸. Then the correct option is A.
What is simplification?Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The expression is given below.
⇒ √(100x³⁶)
Then the simplified form of the expression will be
⇒ √[(10x¹⁸)²]
⇒ 10x¹⁸
Then the correct option is A.
More about the simplification link is given below.
https://brainly.com/question/12616840
#SPJ1
Answer:
Step-by-step explanation:
Expert-Verified Answer
18 people found it helpful
ValeryMillan and many other Tutors are verifying Brainly answers
Tutors in math & science270 000 students helped
Want MORE expert-verified answers like this one? Try Brainly Tutor and get personalized help from a pro in minutes!
AFOKE88
Ace
13K answers
73.3M people helped
The simplified form of √(400x¹⁰⁰) is;
D; 20x⁵⁰
We want to find the simplified form of √(400x¹⁰⁰)
Now, according to laws of indices;
√ab = √a × √b
Thus;
√(400x¹⁰⁰) = √400 × √(x¹⁰⁰)
⇒ 20√(x¹⁰⁰)
Also according to law of indices;
a⁴ = a² × a²
Thus;
x¹⁰⁰ = x⁵⁰ × x⁵⁰
Thus;
√(x¹⁰⁰) = √(x⁵⁰ × x⁵⁰)
⇒ x⁵⁰
Our final answer is;
20x⁵⁰
