Answers
.. s = rθ . . . . . . . . . . . θ in radians
Your arc length is
.. s = (5 m)*(2π/3)
.. = 10π/3
.. ≈ 10.47 m
The 3rd selection is appropriate.
Related Questions
There are seven black marbles and nine white marbles in a bag what is the aprroximate probability of drawing two black marbles and then a white marble without replacement
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There is a probability of 43.75% to pick a black marble in the bag with 16 marbles.
If you do , there will be 6 black marbles and 9 white marbles left in the bag. The probability to pick anpther black marble is 6/15 or 40%.
If you do pick another black marble , there will be 5 black marbles and 9 white marbles left in the bag , which means the probability of you getting a white marble next is 9/14 or 64.28%.
Now we just have to multiply the probability of you picking the marbles in the right order :
0.4375 × 0.4 × 0.6428 = 0.11249
Which is approximately 11.25%
There is a probability of 11.25% of you getting two black marbles and one white marble in a bag with 7 black marbles and nine white marbles .
I hope you understood my brief explanation. And please consider marking this awnser as Branliest if you think it deserves it. Thank you :)
The approximate probability of drawing two black marbles and then a white marble without replacement is 9/80.
What is probability?Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.
For the given situation,
Number of black marbles = 7
Number of white marbles = 9
The event of drawing two black marbles from seven black marbles is
⇒ [tex]\frac{7C_{2} }{16C_{2} }[/tex]
[tex]7C_{2} =\frac{(7)(6)}{(1)(2)}[/tex]
⇒ 21
[tex]16C_{2}=\frac{(16)(15)}{(1)(2)}[/tex]
⇒ 120
Now, [tex]\frac{7C_{2} }{16C_{2} }=\frac{21}{120}[/tex]
Total number of balls, after drawing 2 black balls without replacement is
⇒ 16 - 2 = 14
The event of drawing a white marble without replacement from nine white marbles is
[tex]\frac{9C_{1} }{14C_{1} } = \frac{9}{14}[/tex]
Thus, the approximate probability of drawing two black marbles and then a white marble without replacement is
P(E) = [tex](\frac{21}{120}) (\frac{9}{14} )[/tex]
⇒ 9/80
Hence we can conclude that the approximate probability of drawing two black marbles and then a white marble without replacement is 9/80.
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helpppppppppppppppppppppppppp
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The measure of a minor arc is equal to the measure of __________
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5. Write a conditional statement. Write the converse, inverse and contrapositive for your statement and determine the truth value of each. If a statement’s truth value is false, give a counterexample.
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Converse: If it is a dog, it is a beagle. This is a false statement, since a dog can be any other breed (ex. Pomeranian).
Inverse: If it is not a beagle, it is not a dog. Again a false statement, since if it is a different breed, it is a dog despite not being a beagle. For example, it could be a Pomeranian.
Contrapositive: If it not a dog, it is not a beagle. This is true, since if something is not a dog, it won't be any particular breed of dog either (and it won't be a beagle).
What is the correct definition of the third quartile of a data set?
A. The third quartile is all the numbers of the data set added together and divided by 3. B. The third quartile is the difference between the maximum and median. C. The third quartile is the median of the upper half of data in the data set. D. The third quartile is the mode of the upper half of data in the data set.
Answers
The third quartile (also called the upper quartile) has 75 percent of the data below it and the top 25 percent of the data above it. The third quartile is the same as the median of the part of the data which is greater than the median.
therefore
the answer is the option
C.) The third quartile is the median of the upper half of data in the data set.
Option: C is the correct answer.
C. The third quartile is the median of the upper half of data in the data set.
Step-by-step explanation:We know that our data is divided into three quartiles:
1)
First quartile or lower quartile--
It is the median of the lower set of the data.
2)
Middle quartile or Median--
Median is the central tendency of the data and it always exist in the middle of the data set.
3)
Third quartile or upper quartile--
It is obtained by finding the median of the upper set of the data.
Hence, the answer is: Option: C
The mean of the data set is 18 what’s the missing number 21,11,blank,27,22,13,16
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9514 1404 393
Answer:
16
Step-by-step explanation:
The sum of the 7 numbers needs to be 7·18 = 126.
Then the missing number is ...
126 -21 -11 -27 -22 -13 -16 = 16
Please help ASAP!! Super appreciated!!! <3
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PLEASE HELP ME ON THIS
QUICKLY!!!!!!!!!!!!!!!!!
~BRAINLIEST AVAILABLE
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Next, let's look at the y values again, and test out the common ratios given. First, let's use 0.6. If it's a common ratio of 5, 3, 1.8, and 1.08, then we can find that out by multiplying it by 5 first.
5 x 0.6 is 3.
Then, 3 x 0.6 is 1.8.
Finally, 1.8 x 0.6 is 1.08.
Therefore, B is correct. The table represents a geometric sequence because the successive y-values have a common ratio of 0.6, since multiplying the values by 0.6 equals the next value down.
PLEASE HELP ASAAAAPPPPPP
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what is the measure of AC?
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The inscribed angle measures half of the arc it comprises
∠ABC=mAC/2
so
mAC=2*∠ABC
mAC=2*75°
mAC=150°
the answer is mAC=150°
Factor completely x2 - 8x + 16
A. (x+4)(x+4)
B. (x-4)(x-4)
C. (x+4)(x-4)
D. (x-2)(x-8)
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When you take -4+-4, you will get -8 and when you multiply -4 x -4, you will get 16
A grocery store sells chili peppers at $2.04 for a dozen. At this rate, what's the cost per pepper? A. $0.17 B. $1.70 C. $0.07 D. $1.07
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Please help will give Brainliest!! 1.Find the length of line segment AB when A=(2, 0) and B=(2, 6)
2.Find the length of CD: C(12, -10) and D(0, -6)
3.Find the length of EF: E(-3, 2) and F(6, 2)
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Try to work it out but if you still need help then ill be be happy to do so :)
Match each angle measure in degrees with its equivalent measure in radians
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So,
a) 5π/4 in degree measure will be:
[tex] \frac{5 \pi }{4}* \frac{180}{ \pi } = 225[/tex]
So, 5π/4 radian is equal to 225°.
b) 9π/5 in degree measure will be:
[tex] \frac{9 \pi }{5}* \frac{180}{ \pi } = 324 [/tex]
So, 9π/5 radian is equal to 324°.
c) 2π/3 in degree measure will be:
[tex] \frac{2 \pi }{3}* \frac{180}{ \pi } = 120[/tex]
So, 2π/3 radian is equal to 120°.
d) 4π/9 in degree measure will be:
[tex] \frac{4 \pi }{9}* \frac{180}{ \pi } = 80[/tex]
So, 4π/9 radian is equal to 80°.
e) 5π/6 in degree measure will be:
[tex] \frac{5 \pi }{6}* \frac{180}{ \pi } = 150[/tex]
So, 5π/6 radian is equal to 150°.
f) 7π/4 in degree measure will be:
[tex] \frac{7 \pi }{4}* \frac{180}{ \pi } = 315[/tex]
So, 7π/4 radian is equal to 315°.
Answer:
Hm..
Step-by-step explanation:
Rules that govern the ways that logarithms are simplified and combined are going to be very similar to simplifying and combining rules for what other family of functions?
Exponential
Linear
Rational
Polynomial
Answers
Rules that govern the ways that logarithms are simplified and combined are going to be very similar to simplifying and combining rules for the exponential family of function.
This comes from the definition of logarithm itself which says that a logarithm is a quantity representing the power to which a fixed number (the base) must be raised to produce a given number.
Let us illustrate this by way of an example. We know that 100 can be represented as [tex] 10^2 [/tex]. Here 10 is the base, 2 is the power and 100 is the given number. Therefore,
[tex] 10^2=100 [/tex]
Likewise, we can represent 1000 as [tex] 1000=10^3 [/tex]
Now, if we multiply [tex] 10^2 [/tex] and [tex] 10^3 [/tex] we will get: [tex] 10^2\times 10^3=10^{2+3}=10^5 [/tex]. We added the powers. Therefore, the logarithm of [tex] 10^5 [/tex] to the base 10 is 5.
Let us see if we will get the same result by using the rules of logarithms.
[tex] log(10^2\times 10^3)=log(10^2)+log(10^3)=2log(10)+3log(10)=2+3=5 [/tex]
As we can see we got the same result by using the logarithm and the exponential rule, thus, verifying our answer. Similar results can be obtained for other operations of the logarithmic rule.
Your school drama club is putting on a play and hopes to raise $600 from ticket sales. They sell adult tickets for $8 each and student tickets for $5 each. Let x represent the number of adult tickets and y represent the number of student tickets. The equation to represent the number of tickets sold to reach their goal, 8x+ 5y = 600, is graphed below. If 40 adult tickets are sold, how many student tickets must be sold to reach their goal?
Diagram can be shown here:
https://static.k12.com/eli/bb/343/3_23939/2_15013_4_23943/d7066d09bfa7bf4e8df2b2c0b508a3e8ba21c76d/media/b1cd8381087979f1dffbcd6f3efef158a61fbd57/mediaasset_649354_1.gif
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A recipe calls for 1 1/2 cups of sugar. Alexis only has measuring cups that measuring cups that measure 1/4 cup. how many times will alexis have to fill the measuring cup?
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1 1/2 = 3/2
Change 3/2 to quarters
3/2 = 6/4
1 measure cups = 1/4 cup
To get 6/4 cups
6/4 ÷ 1/4 = 6/4 x 4/1 = 6
He needs to fill in 6 times
What is the vertex of the graph of y = x2 + 4x?
(–2, –12)
(–2, –8)
(–2, –6)
(–2, –4)
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Answer:
(-2, -4)
Step-by-step explanation:
Let's remember how to calculate the vertex of a parabola:
If we have the equation of the parabola given in the form y = ax^2 + bx + c, the x-coordinate of the vertex is x = -b/2a. For the y-coordinate we just replace the x of the equation with -b/2a and do the calculation.
In this case, a = 1, b = 4, c = 0.
The x-coordinate of the vertex is x = -4/2*1 = -2
The y-coordinate is y = (-2) ^2 + 4*(-2) = 4 - 8 = -4
Therefore, the vertex is (-2, -4)
The table below shows the data collected on the number of car washes, y, each day since the Auto Spa opened, x.
Days Since Auto Spa Opened 0 20 40 60 80 100
Number of Car Washes 29 35 18 31 28 14
The owner of the new Auto Spa created a line of best fit for the data that can be modeled by the following equation.
y = -0.12x + 31.76
Match the slope and y-intercept with the correct description for the given situation.
titles
the number of cars washes on the day the Auto Spa opened
the ratio of car washes to the number of days since the Auto Spa opened
the number of car washes
the total number of days since the Auto Spa opened
the ratio in the number of days since the Auto Spa opened to the total profit
pair
y-intercept
slope
Answers
Explanation:
This line of best fit is in slope intercept form: y=mx+b, where m is the slope and b is the y-intercept.
In this equation, m corresponds with -0.12 and b corresponds with 31.76.
The slope is the ratio of change in y to change in x. The y-coordinate of each point represents the number of car washes and the x-coordinate represents the number of days since Auto Spa opened; the ratio of change in y to change in x is then the ratio of the number of car washes to the number of days since Auto Spa opened.
The y-intercept is the point where the data crosses the y-axis; at this point, and all on the y-axis, the x-coordinate is 0. In this problem, the x is the number of days since Auto Spa opened; if it is 0, this means 0 days since it opened, which would be its opening day. Thus the y-intercept is the number of car washes on opening day.
Answer:
The slope is the ratio of car washes to the number of days since Auto Spa opened; and the y-intercept is the number of car washes on the day the Auto Spa opened.
Step-by-step explanation:
Does anyone know what the system of equations for this would be?
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rewrie as:
a = 10 pounds - b
0.75a + 0.50 b = $6.00
replace a with the above equation:
0.75(10-b) +0.50b = 6.00
distribute the(10-b):
7.50 - 0.75b + 0.50b = 6.00
combine like terms:
7.50-0.25b = 6.00
subtract 7.50 from each side:
-0.25b = -1.50
divide both sides by 0.25 to find b
b = -1.50 / -0.25
b = 6
she bought 6 pounds of bananas and 4 pounds of apples
Can someone please help me out on this?
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32 to 28 is what percentage of what change an increase or decrease
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Convert the fraction to decimal and decimal into the fraction 10.222
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I'm not sure if that's what you were looking for but I hope this helps!
Answer:
10 and 222/1000
Step-by-step explanation:
PLEASE HELP ME ON THIS
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8x+12y<96
x+y>10
Gretchen's gross annual salary is $57,852 what is the maximum amount of rent she can afford to pay
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To find the amount that you should spend on rent, you simply multiply your total annual salary by the recommend percent. Use the one that you were given.
A common percent is 30%.
So you would do the following problem if you were using 30%.
0.30 x 57852 = $17,355.6.
Rent should be no more than 28% of a person's gross monthly income. Divide the annual salary by 12 and multiply the quotient by 0.28.
Answer is $1350
The following table gives the science scores and times spent studying for 10 students:
Name Scores (%) Time Spent
Studying (hrs)
Angela 90 4
Brad 70 2
Curt 80 3
Dozer 60 1
Enda 50 1
Frank 40 2
Gill 100 4
Hailey 100 3
Intra 50 1
John 80 3
Describe the correlation between the score and time spent studying.
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When identifying the independent and dependent quantities, we think about what would cause the other to change. The score on the test would not cause the number of hours spent studying to change; rather, the number of hours spent studying would cause the score to change. This means that the number of hours studying would be the independent quantity and the score would be the dependent quantity.
Plotting the graph with the time studying on the x-axis (independent) and the score on the y-axis (dependent) gives you the graph shown. You can see in the image that there seems to be a positive correlation; the data seem to generally be heading upward.
As per the table, the given science scores and time data for studying about 10 hours are given.
A positive correlation can be seen between the number of hours spent studying and the scores. This states that the no. of hours of studying could be on the independent and the score would be the dependent quantity. When on the graph with the time studying on the x-axis and the y-axis gives you the graph the line seems to be going up hence a positive correlation.Learn more about the gives the science scores and times spent studying.
brainly.com/question/25299087.
Galileo wanted to release a wooden ball and an iron ball from a height of 100 meters and measure the duration of their fall. He found a plane with an incline of 12 degrees that he could climb until he could get to an altitude of 100 m. How far should Galileo walk up the inclined plane? Round your final answer to the nearest hundredth.
Answers
We have to find the value of the hypotenuse.
For this we use the following trigonometric relationship:
senx = C.O / h
Where
x: angle
C.O: opposite leg
h: hypotenuse.
Substituting the values we have:
sen (12) = 100 / h
We cleared h:
h = 100 / sin (12)
h = 480.97 m
Answer:
Galileo should walk 480.97 m up the inclined plane
Galileo walk 480.97 meters up the inclined plane if Galileo wanted to release a wooden ball and an iron ball from a height of 100 meters and measure the duration of their fall.
What is the trigonometric ratio?The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
We have:
Galileo wanted to release a wooden ball and an iron ball from a height of 100 meters.
Let's suppose Galileo walked x meters up the inclined plane.
The plane with an inclined a 12°
As we can see in the right angle triangle the sin ratio:
[tex]\rm sin24\° = \frac{100}{x}[/tex]
[tex]\rm x = \frac{100}{sin24\°}[/tex]
x = 480.97 meters (Sin12° = 0.20791)
Thus, Galileo walk 480.97 meters up the inclined plane if Galileo wanted to release a wooden ball and an iron ball from a height of 100 meters and measure the duration of their fall.
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(x 2 + 2x - 1)(x 2 + 2x + 5) Please help asap!
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To solve this equation, we can use distributive property.
I listed the terms you have to multiply :
x² × x² = x^4
x² × 2x = 2x³
x² × 5 = 5x²
2x × x² = 2x³
2x × 2x = 4x²
2x × 5 = 10x
-1 × x² = -x²
-1 × 2x = -2x
-1 × 5 = -5
Add all of them....
x^4 + 2x³ + 5x² +2x³ + 4x² + 10x - x² - 2x - 5
add up the like terms to simplify
x^4 + 4x³ + 8x² + 8x - 5
Hope this helped! :)
Line AB intersects line DF. Which statement shows that the two lines are perpendicular?
Line AB and line DF are on the same plane.
Line AB and line DF intersect only once.
Line AB and line DF intersect at a 90° angle.
Line AB and line DF intersect at a 180° angle.
Answers
Line AB and line AD intersect at a 90° angle
Explanation:
Two lines are said to be perpendicular if the angle between the two lines is 90 degrees.
If the angle between the two lines is 180, the two lines are said to be supplementary angles
The first and second options do not imply that the lines are perpendicular as the angle formed between them could be less or more that 90°.
Hope this helps :)
A bike ramp has a slope of 3/4. What is the angle the ramp makes with the ground?
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Hope it helps !
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