AOB is a sector of a circle, centre O. Show that the length of arc AB is 5.24 cm, correct to 3 significant figures.​

AOB Is A Sector Of A Circle, Centre O. Show That The Length Of Arc AB Is 5.24 Cm, Correct To 3 Significant

Answers

Answer 1

Answer:

  5/3π cm ≈ 5.24 cm

Step-by-step explanation:

The length of an arc is the product of its angle measure in radians, and its radius. The length of arc AB is ...

  AB = (50°×π/180° radians)×(6 cm) = 5/3π cm ≈ 5.235988 cm

This value rounds to 5.24 cm when rounded to 3 SF.


Related Questions

Are they like terms? 3x & -x

Answers

yea cuz they both have x

please i’ve gotten two wrong and i need to pass this

please ive gotten two wrong and i need to pass this

Answers

Answer:5 and 92

Step-by-step explanation:

Answer:

Step-by-step explanation:

what's the answer choices ??

Solve the following formula for f : M = 38 + 5 f

Answers

The formula for f : M = 38 + 5f will be f = (M - 38) / 5.

no

What is an equation?

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

The equation given is:

M = 38 + 5f

We want to make f the subject of the formula

M = 38 + 5f

Subtract 48 from both sides

M - 38 = 5f

Divide through by 5

f = (M - 38) / 5

Therefore, f = (M - 38) / 5

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linear or exponential function

linear or exponential function

Answers

The way the y-values alter when the x-values rise by a certain amount is different for linear and exponential relationships: The y-values in a linear connection differ equally. The ratios of the y-values are equal in an exponential relationship.

What is Exponential vs. linear growth Function?

The way the   y-values change when the xx-values rise by a certain amount is different for linear and exponential relationships:

The y-values have equal differences in a connection that is linear.

The y-values have identical ratios in an exponential relationship.

Vertical growth

Think at how this table illustrates the relationship:

x    12   15  18  21

y   -2     5   12  19

Here, the xx-values grow by a constant difference of 3  units,

x           +3                    +3                     +3

       12          15                    18                      21

and the yy-values increase by a constant difference of 7.

y           +7               +7              +7

      -2             5                12              19

Because each y-value is 7 77 more than the one before it, this connection can be characterized as linear.

Exponential growth is a second example.

Think at how this table illustrates the relationship:

x        0     1     2         3

y        1       3   9     27

x              +1              +1             +1

         0               1               2               3

and a 3 constant factor is applied to the y-values.

y                *3              *3           *3

          1              3               9                27

Since each y-value is 3 times more than the one before it, this connection is exponential.

The Complete Question.

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Hari's weekly allowance varies depending on the number of chores he does. He received $24 in allowance the week he did 20 chores, and $16 in allowance the week he did 4 chores. Write an equation for his allowance in slope-intercept form.

Answers

Answer:

24 / 16

Step-by-step explanation:

divide and do the thing

What is the value of z in the equation 3z+9=z?

Answers

In the exact form, Z equals -9/2

what the estimated quotient for the following problem?
343.23 divdend by 18

what the estimated quotient for the following problem?343.23 divdend by 18

Answers

Answer:

Step-by-step explanation:

17

343.23 /18 is 19.0683333333

so the closest number to that is 17, if not try 23!

What does the net decimal equivalent (NDE) represent?

Answers

Answer:

the product of the decimal equivalents of all discount in the series

Classify the triangle by its angles , x, 102, x a right,acute or obtuse triangle

Answers

The solution is, x = 39. Since we have a 102 degree angle it is a obtuse triangle.

What is triangle?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

given that,

its angles , x, 102, x

now, we know,

The sum of the angles in a triangle add to 180

i.e.

x+ 102+x = 180

Combine like terms

so, we get,

102 + 2x = 180

Subtract 102 from each side

2x = 78

divide by 2, both sides,

x =39

Since we have a 102 degree angle it is a obtuse triangle.

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Ali, Basti and Cian stand at three points A, B and C respectively. Suppose that the measure of angle ABC is 50 degrees , the measure of angle BAC is 60 degrees and Ali is exactly 150 ft away from Basti. Find the distance between Basti and Cian.

Answers

To find the distance between Basti and Cian, we can use the law of sines in triangle ABC. The law of sines states that the ratio of the length of a side to the sine of the opposite angle is constant for all sides and their corresponding angles in a triangle.

Let's label the distance between Basti and Cian as "x". We know that the measure of angle ABC is 50 degrees and the measure of angle BAC is 60 degrees. We also know that Ali is exactly 150 ft away from Basti.

Using the law of sines, we can set up the following equation:

sin(50°) / 150 = sin(60°) / x

To solve for "x", we can rearrange the equation:

x = (150 * sin(60°)) / sin(50°)

Using a calculator, we can evaluate the expression:

x ≈ (150 * 0.866) / 0.766

x ≈ 168.4 ft

Therefore, the distance between Basti and Cian is approximately 168.4 ft.

The sum of two numbers 54. Their difference is 34
Find the numbers

Large number :
Smaller number:

Answers

Answer:

Larger Number : 44

Smaller Number: 10

Step-by-step explanation:

(x+y) + (x-y) = 54 + 34

x + y + x - y = 88

2x = 88

x = 44

Since 34 is the difference of 44 and another number...

34 = 44 - x

x = 10

Bigger number is 44

Smaller number is 10

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

What is the solution to the system of linear equations?

(–4.5, 4.25)
(–1.7, –2.8)
(0, –7)
(3, 0.5)

Answers

Answer:

−903.65625

Step-by-step explanation:

((((−4.5)(4.25))(−1.7−2.8))(0−7))((3)(0.5))

=((−19.125(−1.7−2.8))(0−7))((3)(0.5))

=(((−19.125)(−4.5))(0−7))((3)(0.5))

=86.0625(0−7)(3)(0.5)

=(86.0625)(−7)(3)(0.5)

=−602.4375(3)(0.5)

=(−602.4375)(1.5)

=−903.65625

t
Given the two points, write the
I equation in slope-intercept form.
(-5, 2) and (10, 8)

Answers

Answer:

y = 2/5x + 4

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope:

( y1 - y2 ) / ( x1 - x2 )

( 2 - 8 ) / ( -5 - 10 )

( -6 ) / ( -15 )

2 / 5

Y-Intercept:

8 = 2/5(10) + b

8 = 4 + b

4 = b

Hopefully this helps!

Brainliest please?

A fair die with its faces numbered from 1 to 6 will be rolled. Which of the following is the best interpretation of the probability that the number landing face up will be less than 3?
For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 1/3
For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 1/2
For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3
For three rolls of the die, a number less than 3 will land face up one time.
It will take three rolls of the die before a number less than 3 lands face up for the first time.

Answers

The best interpretation of the probability that the number landing face up will be less than 3 is \(\frac{1}{3}\).

For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is \(\frac{1}{3}\).

As per the given question a fair die with its faces numbered from 1 to 6 will be rolled.

Here we have to calculate the probability that the number landing face up will be less than 3.

The event of the number landing face up will be less than 3 is exhaustive, mutually exclusive, and independent face of a die = 6

(1, 2, 3, 4, 5, 6)

Favorable number of faces of a die = 2

(1, 2)

Since the number landing faces up will be less than 3.

Therefore the probability that the number landing face up will be less than 3

\(=\frac{\text { Favourable Number }}{\text { Total Number }}$\)

\(& =\frac{2}{6} \\\)

\(& =\frac{1}{3}\)

Therefore the best interpretation of the probability that the number landing face up will be less than 3 is \(\frac{1}{3}\)

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The long-run relative frequency of a number less than 3 landing face up is 2/3.

The best interpretation of the probability that the number landing face up will be less than 3 is that for many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3. This can be expressed mathematically as P(x<3) = 2/3, where P(x) is the probability of the number landing face up being less than 3.

For a single roll of the die, the probability of a number less than 3 landing face up is 1/2. This is because there are three numbers (1,2,3) which are less than 3, and 6 possible outcomes. Therefore, the probability of any one of those three numbers landing face up is 3/6, or 1/2.

For multiple rolls of the die, the probability of a number less than 3 landing face up is the sum of the probabilities of each of those three numbers landing face up. This can be expressed mathematically as P(x<3) = (1/2) + (1/2) + (1/2), or 2/3.

Therefore, for many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3.

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PLEASE HELP! ANY IRRELEVANT INFORMATION WILL BE REPORTED!
Find the slope of the line/graph.

PLEASE HELP! ANY IRRELEVANT INFORMATION WILL BE REPORTED!Find the slope of the line/graph.

Answers

Answer: Your Slope is 4/5

Step-by-step explanation:

Easiest way to find slope on a graph is to

Find a point that lies exactly on the line (-5,2)then move to the right until you are directly beneath or above your next direct point (5 to the right)Then move up/down until you meet that point (4 up)replace 'rise' with the value from #3 and 'run' with the value from #2 (4/5)

brainliest will be nice

Answer:4/5

Step-by-step explanation:

please help

The graphs below have the same shape. What is the equation of the blue graph?
A. g(x) = (x - 2)2 + 1
B. g(x),= (x - 2)2 -1
C. g(x) = (x + 2)2 - 1
D. g(x) = (x + 2)2 + 1​

please helpThe graphs below have the same shape. What is the equation of the blue graph? A. g(x) = (x

Answers

Answer:

A

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Vertex: (2,1)(2,1)

Focus: (2,54)(2,54)

Axis of Symmetry: x=2

Hope it helped :)

A local sporting goods store has a coupon for 25% off your entire purchase. You total purchase is $156.79. What is a good estimate for the amount of money you will save by using the coupon?

ANSWER CHOICES
$40.00
$45.00
$30.00
$32.00

Answers

The answer is $40.00

a waitress wondered if there was an association between the type of food and the type of drink customers ordered. the results are displayed below. based on the graph, is there an association between food ordered and drink ordered? there is an association because the distribution of drinks ordered differs among the food groups. there is an association because the distribution of drinks ordered is the same among the food groups. there is no association because the distribution of drinks ordered differs among the food groups. there is no association because the distribution of drinks ordered is the same among the food groups.

Answers

Yes, there is an association between food ordered and drink ordered because the distributive property of drinks ordered differs among the food groups.

Yes, there is an association between food ordered and drink ordered, as evidenced by the graph. The graph shows the distribution of drinks ordered among the various food groups, and it can be seen that the distribution differs among the food groups. For example, beer is the most popular drink ordered when burgers are the food ordered, while soda is the most popular drink when salads are the food ordered. This indicates that customers are more likely to order certain drinks depending on the type of food they are ordering, showing an association between food ordered and drink ordered.

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A passing grade on the quiz was more than 8 points. Write an inequality that represents points needed for a passing grade.

Answers

Answer: x>8

Step-by-step explanation:

You need more than 8 points to pass the quiz

x>8

Which of the following is true? Question 7 options: In an inverse relation, coordinates of the ordered pairs are multiplied by 2. For a pair of functions to be inverses, their compositions must be equal to 1. The horizontal line test is used to determine if a function's inverse will be a function. An inverse of a function is always a function.

Answers

Out of the given options, the correct statement is "The horizontal line test is used to determine if a function's inverse will be a function."

The horizontal line test is a graphical way of determining if a function has an inverse that is also a function. If any horizontal line intersects the graph of the function at more than one point, then the inverse of the function will not be a function.

On the other hand, if every horizontal line intersects the graph at most once, then the inverse of the function will be a function. It is important to note that not all functions have an inverse, and for a function to have an inverse, it must be one-to-one.

A one-to-one function is a function where every element in the domain corresponds to exactly one element in the range.

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The box and whisker plot shows the recent test scores from WYVA Summit Math 6 class.

A. What is the interquartile range in a box-and-whisker plot?




B. What percent of the students got 80% or higher, which would be a B?

C. Write about Math: Using the interquartile range, explain how well the math class did on this test.

The box and whisker plot shows the recent test scores from WYVA Summit Math 6 class.A. What is the interquartile

Answers

a. It represents the spread of the middle 50% of the data.

b. At least 50% of the students scored between 80 and 86.

c. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.

What is interquartile range?

How evenly distributed the middle 50% of the data is is determined by the interquartile range. In order to calculate it, the first quartile is subtracted from the third quartile.

A. The interquartile range (IQR) in a box-and-whisker plot is the distance between the first quartile (Q1) and the third quartile (Q3) of the data. It represents the spread of the middle 50% of the data.

B. To determine what percent of the students got 80% or higher, we need to find the upper fence, which is defined as 1.5 times the IQR above Q3. From the box-and-whisker plot, we can see that Q3 is approximately 86 and Q1 is approximately 71. Therefore, the IQR is 86 - 71 = 15. The upper fence is 1.5 * 15 + 86 = 108.5.

Looking at the plot, we can see that there are no data points above 100, so we can safely assume that no students scored above 100%. The highest score is 94, which is within the whiskers of the box-and-whisker plot. Therefore, we know that the percent of students who scored 80% or higher is between the percent of students who scored 80% or higher and the percent of students who scored 94% or higher.

From the plot, we can see that the median is approximately 80 and the third quartile (Q3) is approximately 86. This means that at least 50% of the students scored between 80 and 86. Additionally, we know that the maximum score is 94, so we can say that at least some students scored higher than 86. However, we don't know how many students scored between 86 and 94.

C. Based on the interquartile range, we can say that the middle 50% of the students scored between approximately 71 and 86. This suggests that there is a significant amount of variability in the test scores, as the range is quite wide. Additionally, we know that at least some students scored above 86, but we don't have enough information to determine how many or how high their scores were. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.

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2.The distance needed to stop a car after applying the brakes varies directly with the square of the car's speed. Thetable below shows stopping distances for various speeds.60Speed (mph) 10 20 30 40 5070Distance (ft) 6.25 25 56.25 100 156.25 225 306.25Determine the average rate of change in braking distance, in ft/mph, between one car traveling at 50 mph and onetraveling at 70 mph. Explain what this rate of change means as it relates to braking distance.

Answers

Given

Table

Procedure

Point A

50 mph 156.25 ft

Point B

70 mph 306.25 ft

Rate of change

\(\begin{gathered} \frac{306.25-156.25}{70-50} \\ 7.5\text{ ft/mph} \end{gathered}\)

A rate of change is a rate that describes how one quantity changes in relation to another quantity.

In this case, it means that increasing the speed by 1 mph will increase the braking distance by 7.5 ft.

10) Write a division problem with a quotient of 6 to the 5th power

Answers

Answer: \(6^{5}\) divided by \(3^{2}\) = ____

Step-by-step explanation: I hoped this helped in some way or form.

Find the mean of 35,42,41,32,30

Answers

Answer:

The mean is 36

Step-by-step explanation:

The mean of these numbers is 36.

Write 43/19 as a decimal rounded not the nearest 100th

Answers

Answer: So you're looking for 43/19 but not to the nearest hundredth, so maybe your teacher is looking for the decimal to be rounded to the nearest tenth or one thousandth... Here's how you would solve this...

Step-by-step explanation:

49/13 or 49 ÷ 13

49/13 = 3.76923076923

To the Nearest 10th: Answer ≈ 3.8

To the Nearest 1,000th: Answer ≈ 3.769

To the Nearest 100th: Answer ≈ 3.77

Note: I listed the nearest 100th in case you need it, I hope this helps you!

Please help I’ll upvote your work

Please help Ill upvote your work

Answers

The solution set of f(x) > 0 is x ∈ (-2, 8).

What is the set of the function?

To find the solution set of f(x) > 0, we need to first determine the critical values of x where f(x) changes sign.

Let's start by finding the domain of the function:

x² - 6x - 16 ≠ 0

We can solve for x by using the quadratic formula:

x = [6 ± √(6² + 4(16))]/2 = [6 ± √52]/2 = 3 ± √13

So the domain of f(x) is (-∞, 3 - √13) U (3 + √13, ∞).

Now let's factor the numerator and denominator of f(x):

f(x) = (x + 10)/[(x - 8)(x + 2)]

The critical points occur where the numerator or denominator of f(x) changes sign.

The numerator changes sign at x = -10, and the denominator changes sign at x = -2 and x = 8.

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A circle has a radius of 16 ft.
radians?
What is the area of the sector formed by a central angle measuring 5pi/4 radians?
Use 3.14 for pi.
Enter your answer as a decimal in the box.

NEED HELP QUICK!!!

A circle has a radius of 16 ft.radians?What is the area of the sector formed by a central angle measuring

Answers

Answer:

502.4 ft^2.

Step-by-step explanation:

Area of a sector = 1/2 r^2 α   where α = central angle in radians

= 1/2 * 5pi/4 * 16^2

= 502.4 ft^2.

For exercises 16-18 , trace each figure and draw its rotated image

For exercises 16-18 , trace each figure and draw its rotated image

Answers

The answer is r(b x p) d

can someone help me with this?

can someone help me with this?

Answers

5.5 is the answer to your question

Which is a perfect square?

Answers

Answer:

2 by 2

Step-by-step explanation:

or 4 by 4 I think I mean that would be mine

Answer:

The perfect squares are the squares of the whole numbers: 1 4 9 16 25 36 49, 64, 81, 100  Here are the square roots of all the perfect squares from 1 to 100. 1

Step-by-step explanation:

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