The radius of a circle is 5 meters. What is the angle measure of an arc 4​ meters long?

Answers

Answer 1

The angle measure of the arc in the circle is solved to be 45.83 degrees

How to find the angle measure of the arc

The angle measure is calculated using the formula for length of arc which is

arc length = (angle subtended) / 360 * 2π * r

where

r = radius

rearranging

angle subtended = arc length * 360 / (2π * r)

in the problem radius is 5 meters while length of arc is 4 meters

plugging in the values

angle subtended = 4 * 360 / (2π * 5)

angle subtended = 1440 / 31.42

angle subtended = 45.83 degrees

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Related Questions

Consider the following array: dim intnumbers(,) as integer = {{1,2},{3,4},{4,5},{6,7},{8,9}} what is the highest row subscript for the intnumbers array?

Answers

The highest row subscript for the integer numbers array is 4. The array `integer numbers` is a two-dimensional array with the following elements:{{1, 2}, {3, 4}, {4, 5}, {6, 7}, {8, 9}}.

Given array is `dim integer numbers(,) as integer = {{1,2},{3,4},{4,5},{6,7},{8,9}}

The highest row subscript for the integer numbers array is 4.

The first dimension has five elements, and the second dimension has two elements. The row subscripts for the integer numbers array range from 0 to 4.

The row subscript starts with 0 and ends with one less than the number of elements in the row, so the highest row subscript for the integer numbers array is 4.

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Write two numbers such that 18 and 30 are multiples of the numbers.

Answers

Answer:

18 and 30 are 90, 180

Step-by-step explanation:

First: List a few multiples of 18 (18, 36, 54, 72, . . . ) and 30 (30, 60, 90, 120, . . . . ) Next: The common multiples.

Answer:

90 and 180 are multiples of 18 and 30.

Step-by-step explanation:

Let's write the multiples of 18 and 30.

18 => 18, 36, 54, 72, 90, 108, 126, 144, 162, 18030 => 30, 60, 90, 120, 150, 180, 210, 240, 270, 300

We can clearly see that 90 and 180 are multiples of 18 and 30.

Hence 90 and 180 are multiples of 18 and 30.

Hoped this helped.

\(BrainiacUser1357\)

Find the slope of (-2, -2,) and (-10,-9).
O
11/0
○ 12
11

12
76

Answers

12 because it is 10 and 2

What’s the mathematical expression for “ three times x no less than 9”

Answers

Answer:

not simplified: 3x≤9

simplified: x≤3

4. Leroy creates customized engraved

birthday cards for his schoolmates.

He charges them $0.75 per card, plus a

dollar for each engraved letter in

the recipient's name. The equation

C=0.75 + l describes the cost of a card

in dollars, c, that has a certain number of

letters in the name, l.

Number of Letters

in Name

Cost of Card

(dollars)

3.75

5.75

6.75

8.75

If you have $10.75 to spend on a card,

how many letters can be in the recipient's

name?

Answers

Answer:

10

Step-by-step explanation:

C = 0.75 + L

For L = 3 ; Cost, C = 3.75

3.75 = 0.75 + 3L

3.75 - 0.75 = 3L

3 = 3L

L = 3/3

L = $1

C = 0.75 + 1L

If amount spent is $10.75; C = 10.75

10.75 = 0.75 + L

10.75 - 0.75 = L

10 = L

Number of letters = 10

factors of -135 that equal to -7

Answers

Answer:

Need more information.

Step-by-step explanation:

Find the 62nd term of the arithmetic sequence
15, 13, 11, ...

Answers

Answer:

\(a_{62}=-107\)

Step-by-step explanation:

This is an arithmetic sequence:

\(a_n=a_1+(n-1)d\)

where d is the common difference and n is the index of any given term.

The common difference of the given sequence is -2:

\(13-15=-2\\11-13=-2\)

Using the first term and the common difference, you can write the equation for this sequence:

\(a_n=15+(n-1)(-2)\)

And using that equation, you can find the 62nd term:

\(a_{62}=15+(62-1)(-2)\\a_{62}=15+(61)(-2)\\a_{62}=15-122\\a_{62}=-107\)

Roll one fair, six-sided die, numbered 1 through 6. Let A be the event you will roll an even number.

Answers

Answer:

P(A) = 1/2

Step-by-step explanation:

The question seems incomplete, I assume that we want to find the probability of event A.

Here we have a fair six-sided dice, so each one of the six numbers has exactly the same probability of being rolled.

Such that the possible outcomes of rolling the dice is:

{1, 2, 3, 4, 5, 6}

Now we define event A as rolling an even number.

The possible outcomes such that the event A is true are the even numbers:

{2, 4, 6}

So we have 3 outcomes out of 6.

Then the probability of rolling an even numbers, is just the quotient between the number of outcomes of even numbers (3) and the total number of outcomes (6).

Then:

P(A) = 3/6 = 1/2 = 0.5

2 + 3 + 4 x 8 - 2 + 4 + 6 x 8 divided 7 x 2

Answers

Answer:

640

Step-by-step explanation:

Answer:

=297/7

PEMDAS Hope this helps :)

Find two consecutive integers(with the least sum) whose sum is at least 107

Answers

Answer:

53 and 54

Step-by-step explanation:

x + (x+1) = 107

2x+1 = 107

2x = 107

x = 53

x+1 = 54

Find the value of unknown side​

Find the value of unknown side

Answers

Answer:

hope this helps you

have a great day

Find the value of unknown side

A restaurant plans to use a new food delivery service. the food delivery service charges $5.92 for every 2 meals delivered, plus a $2.50 service fee. what is the slope of this situation?

Answers

Answer:

Step-by-step explanation:

The slope for the given situation will be $2.96. 5.92/2 = $2.96 per meal

I’ll mark brainliest! Plz help

Ill mark brainliest! Plz help

Answers

The correct answer is E

I recommend you Math-way , to solve your problems.

Answer:

E

Step-by-step explanation:

the square root of 64÷49 =a rational number

Question 4
What is f(-5) for the function f?
f (x) =
9(x-11)
4
90x="
answer: [x]

Question 4What is f(-5) for the function f?f (x) =9(x-11)490x="answer: [x]

Answers

Answer:

-36

Step-by-step explanation:

replace x with -5 and solve for the parenthesis and then take that number which would be -16 and multiply it by 9 which then would give you -144.  So then you would take -144 and divide it by 4 and your answer would be -36.

Sally does 12 loads of laundry every week. On average how many loads of laundry does sally do in one day

Answers

sally does 2-3 loads of laundry each day

What kind of transformation is shown in the picture?

What kind of transformation is shown in the picture?

Answers

Rotation refers to the act or process of turning or spinning around a central axis or point. In physics and mathematics, rotation describes the circular or angular motion of an object or a system around a fixed point or axis.

It involves the movement of an object or system in a circular path, where each point on the object follows the same circular trajectory.The axis of rotation is an imaginary line or point around which the object rotates. All points on the object move in circles or arcs around this axis.

The angle of rotation measures the amount of turning or angular displacement of an object or system. It is usually expressed in degrees or radians.

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how many outcomes are possible when rolling a number cube and picking a cube from 4 colored cubes

Answers

There are 24 possible outcomes when rolling a number cube and picking a cube from 4 colored cubes.

To determine the number of possible outcomes when rolling a number cube and picking a cube from 4 colored cubes,

we need to multiply the number of outcomes for each event.

For rolling a number cube (assuming it has 6 sides), there are 6 possible outcomes (1, 2, 3, 4, 5, and 6).

For picking a cube from 4 colored cubes, there are 4 possible outcomes (one for each color).

Now, to calculate the total number of outcomes, multiply the outcomes of each event:

6 (number cube outcomes) x 4 (colored cube outcomes) = 24 possible outcomes.

So, there are 24 possible outcomes when rolling a number cube and picking a cube from 4 colored cubes.

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There are 24 possible outcomes when rolling a number cube and picking a cube from 4 colored cubes.

When rolling a number cube, there are six possible outcomes (numbers 1-6). When picking a cube from four colored cubes, there are four possible outcomes. Therefore, the total number of possible outcomes is the product of the number of outcomes from each event: 6 x 4 = 24 possible outcomes.

When rolling a number cube, there are 6 possible outcomes (1, 2, 3, 4, 5, or 6), since a standard number cube has 6 faces, each with a different number.

When picking a cube from 4 colored cubes, there are 4 possible outcomes, one for each color.

To find the total number of outcomes when performing both actions, you can multiply the number of outcomes for each individual action:

Total outcomes = outcomes from rolling a number cube × outcomes from picking a colored cube
Total outcomes = 6 × 4
Total outcomes = 24

So, there are 24 possible outcomes when rolling a number cube and picking a cube from 4 colored cubes.

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I will give brainliest!!!

A. 5x - 2 + x = x - 4

B. 5x + x = x - 4

How can we get Equation B from Equation A?

Choose 1 answer:

(Choice A) Add/subtract a quantity to/from only one side

(Choice B) Add/subtract the same quantity to/from both sides

(Choice C) Rewrite one side (or both) using the distributive property

(Choice D) Rewrite one side (or both) by combining like terms

Answers

Answer:

ADD/SUBTRACT A QUANTITY TO/FROM ONLY ONE SIDE

And part 2: is No

Step-by-step explanation:

Solve each of the inequalities:

20 + 4x ≤ 17 or 5x − 9 > −4

Answers

The inequalities that we are solving here are:20 + 4x ≤ 17 or 5x − 9 > −4.

Solution:

When we solve the inequalities, the first step is to isolate the variable to one side of the equation.

Let's solve for 20+4x ≤ 17:20 + 4x ≤ 17

We can simplify this inequality by subtracting 20 from both sides:20 - 20 + 4x ≤ 17 - 20

Simplifying:4x ≤ -3Dividing both sides by 4:4x/4 ≤ -3/4x ≤ -3/4

So, the solution to the inequality 20 + 4x ≤ 17 is:x ≤ -3/4

Now, let's solve the second inequality 5x − 9 > −4:5x − 9 > −4

We can simplify this inequality by adding 9 to both sides:5x - 9 + 9 > -4 + 95x > 5

Dividing both sides by 5:5x/5 > 5/5x > 1

So, the solution to the inequality 5x − 9 > −4 is:x > 1

We can combine the solutions to both inequalities as follows:x ≤ -3/4 or x > 1

Thus, the solution to the inequalities 20 + 4x ≤ 17 or 5x − 9 > −4 is x ≤ -3/4 or x > 1.

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Data scientists rarely work with individual outcomes and instead consider sets or collections of outcomes. Let A represent the event where a die roll results in 1 or 2 and B represent the event that the die roll is a 4 or a 6. We write A as the set of outcomes {1, 2} and B = {4, 6}. These sets are commonly called events. Because A and B have no elements in common, they are disjoint events. A and B are represented in Figure 3.2

Figure 3.2: Three events, A, B, and D, consist of outcomes from rolling a die. A and B are disjoint since they do not have any outcomes in common. The Addition Rule applies to both disjoint outcomes and disjoint events. The probability that one of the disjoint events A or B occurs is the sum of the separate probabilities: P(A or B) = P(A) + P(B) = 1/3 + 1/3 = 2/3

Guided Practice 3.9 (a) Verify the probability of event A, P(A), is 1/3 using the Addition Rule. (b) Do the same for event B.

GUIDED PRACTICE 3.10 (a) Using Figure 3.2 as a reference, what outcomes are represented by event D? (b) Are events B and D disjoint? (c) Are events A and D disjoint?

Answers

The probability of event A, P(A), is 1/3, and the probability of event B, P(B), is also 1/3.

(a) To verify the probability of event A, P(A), using the Addition Rule, we need to add the probabilities of the outcomes in event A, which are 1 and 2. Since a die has six equally likely outcomes (1, 2, 3, 4, 5, 6), the probability of rolling a 1 or a 2 is 2 out of 6, or 1/3.

(b) Similarly, to verify the probability of event B, P(B), we need to add the probabilities of the outcomes in event B, which are 4 and 6. Again, since a die has six equally likely outcomes, the probability of rolling a 4 or a 6 is also 2 out of 6, or 1/3.

(c) Event D in Figure 3.2 is not explicitly mentioned in the prompt, so we cannot determine its outcomes.

(d) Events B and D are disjoint because they do not have any outcomes in common. Event B consists of outcomes 4 and 6, while event D is not mentioned in the prompt.

(e) Events A and D are also disjoint because event D is not mentioned in the prompt and event A consists of outcomes 1 and 2.

Therefore, the probability of event A, P(A), is 1/3 using the Addition Rule, and the probability of event B, P(B), is also 1/3. Events B and D are disjoint, and events A and D are also disjoint

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The question is attached, thanks!!

PLEASE HELLPPP

The question is attached, thanks!!PLEASE HELLPPP

Answers

Answer:

The second, the fourth and the final.

Step-by-step explanation:

With the first: 4c = 41.5 => c=83/8 ? (c isn't 1.5: incorrect)

With the second: 150:c=100 =>c=150:100=1.5 (correct)

With the third: 13.5-c=10 => c=13.5+10=23.5 (incorrect)

With the fourth: 6c=9 => c=9:6=1.5 (correct)

With the final: 0.2c=0.3 => c=1.5 (correct)

Answer:

the equations that have a solution  of c = 1.5

Step-by-step explanation:

150 : c = 100

6 c = 9

0.2 c = 0.3

3. The first four terms of a sequence are:
T2 = 12+ 22
T3 = 12 + 22 + 32
T4 = 12 + 22 + 32 +42
T1 = 12
The n" term is given by Tn=n(n + 1)(2n + 1).
Work out the value of T23.

Answers

Step-by-step explanation:

tn=n(n+1)(2n+1)

t23=23(23+1)(2*23+1)

t23=36754

Answer:

The 23rd term is 2806.

Step-by-step explanation:

The other answerer has used the formula but i'm answering from the assumption that T1 to T4 are correct.

Each term is the sum of n terms of an arithmetic series with first term a1 = 12 and common difference d = 10.

Sum of n terms = (n/2)[2a1  + d(n - 1)]

So the sum of 23 terms =

= 23/2 (2*12 + 10 * 22)

= 11.5 * 244

= 2806.

reddit let a denote the event that at most two batteries must be examined before the chance experiment terminates. what outcomes are contained in a?

Answers

The outcomes that are contained in A are given by A = {0, 1, 2}, where 0 means that the experimenter got the battery type on the first attempt, 1 means that the experimenter got the battery type on the second attempt, and 2 means that the experimenter got the battery type on the third attempt.

The sample space is the set of all possible outcomes of a probability experiment. The number of elements in the sample space of an experiment is infinite when the experiment is continuous or infinitely divisible. In contrast, the number of elements in the sample space of a finite or countable experiment is finite or countable. The probability of an event is the proportion of the time that the event occurs in a series of identical trials of an experiment. Since probability is expressed as a number between 0 and 1, the sum of the probabilities of all possible outcomes in a sample space is always 1, and the probability of an event is the sum of the probabilities of all possible outcomes in the event. Let A denote the event that at most two batteries must be examined before the chance experiment terminates.

Then, the outcomes that are contained in A are given by A = {0, 1, 2}, where 0 means that the experimenter got the battery type on the first attempt, 1 means that the experimenter got the battery type on the second attempt, and 2 means that the experimenter got the battery type on the third attempt.

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What is the following product? RootIndex 5 StartRoot 4 x squared EndRoot times RootIndex 5 StartRoot 4 x squared EndRoot.

Answers

You can use the fact that whenever bases are same, the product of such quantities end up getting their exponents added.

The product result of given expression is \(^5\sqrt{(2x)^4}\)

When does the power add in multiplication?

Suppose you've got two values to multiply with each other and you have got both value's bases same, then the multiplication will end up with result being that base raised with sum of the exponents of both the initial values.

For example:

\(a^b \times ^c =a^{b+c}\)

How to find the product result for given expression?

You can convert the roots to powers. Then you can use the fact that the bases are same and thus the powers will add.

Remember that if you've got xth root, then the power would be 1/x.

For our case, it will go like this:

\(^5\sqrt{4x^2} \times ^5\sqrt{4x^2} = \: ^5\sqrt{(2x)^2} \times ^5\sqrt{(2x)^2} = {((2x)^2)}^{\frac{1}{5}} \times {((2x)^2)}^{\frac{1}{5}} = (2x)^{\frac{2}{5}} \times (2x)^{\frac{2}{5}}\\\\ ^5\sqrt{4x^2} \times ^5\sqrt{4x^2} = (2x)^{\frac{2}{5} + \frac{2}{5}} = (2x)^{\frac{4}{5}} = \: ^5\sqrt{(2x)^4}\)

Thus, the final product result will be written as \(^5\sqrt{(2x)^4}\)

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What is the product?

Enter your answer as a fraction, in simplified form, in the box.

3/8*(-36)

Answers

Answer:

-27/2

Step-by-step explanation:

3/8 × -36

(3×-36)/8

-108/8

-27/2

suppose that you have a collection of n spins, each of which points up or down with equal probability. what is the probability that exactly n of them will point up? give both an exact expression and an approximation valid for large n. are there any additional conditions on n for your large n approximation to be valid?

Answers

For the normal approximation to be valid, the sample size should be at least 30, which means that n should be greater than or equal to 30.

Assuming that the probability that each spin points up or down is 0.5, and we have n spins, then the probability of exactly n of them pointing up is given by

P(n) = (n C n) * (0.5)^n = (0.5)^n, where (n C n) is the number of ways to choose n items out of n, which is simply 1.

If n is large, the probability can be approximated using the normal distribution with mean and variance given by

μ = np = n * 0.5σ² = np(1 - p) = n * 0.25T he probability can be approximated as:

P(n) ≈ N(μ, σ) = N(np, sqrt(np(1 - p))), where N is the normal distribution with mean np and variance np(1 - p). Additional conditions for the approximation to be valid:

Therefore, for the normal approximation to be valid, the sample size should be at least 30, which means that n should be greater than or equal to 30.

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The Millers receive a dinner bill for $122.75. The sales tax rate is 8%. They want to leave an 18% tip on the total bill after tax. How much money will they pay for their dinner with tax and tip?

Answers

Answer: 156.43

Step-by-step explanation:

Millers receive a dinner bill for $122.75. The sales tax rate is 8%. They want to leave an 18% tip on the total bill after tax. Then he pay 156.43 on total bill.

What is Percentage?

Percentage, a relative value indicating hundredth parts of any quantity.

Given that,

Millers receive a dinner bill for $122.75.

The sales tax rate is 8%.

8/100=0.08

8% of bill is 0.08×122.75=9.82

After adding tax to the bill we get 122.75+9.82

=132.57.

18% tip on the total bill after tax is added

18/100=0.18

0.18 of 132.57

0.18×132.57

=23.86

The total bill is 132.57+23.86

=156.43

Hence $156.43 will they pay for their dinner with tax and tip.

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The slope of a graphed line is 2/3 and the y-intercept is (0, 4). What is the slope-intercept equation of the line? A.y=-4x+2/3 B.y=2/3x+4 C.y= -2/3x+4 D.y=4x-2/3

Answers

Answer:

B.y=2x C.y=1/2x D.y=-x 2.

Step-by-step explanation:

Violet creates two spinners for a game. Each spinner is spun once, and the sum is recorded. The table represents the sums of the spinners and the frequency of each sum. A 2-column table with 7 rows. The first column is labeled sum with entries 5, 7, 9, 11, 13, 15, 17. The second column is labeled frequency with entries 1, 2, 3, 4, 3, 2, 1. What statement is true about the mean of the sums of the two spinners? The mean is 12. The mean is 16. The mean is the same as the median. The mean is the same as the range.

Answers

Answer:

c

Step-by-step explanation:

edg 2021

no one bothers to read why anyways

The first column is labeled sum with entries 5, 7, 9, 11, 13, 15, 17.

The second column is labeled frequency with entries 1, 2, 3, 4, 3, 2, 1.

We have given,

Violet creates two spinners for a game.

Each spinner is spun once, and the sum is recorded.

The table represents the sums of the spinners and the frequency of each sum.

A 2-column table with 7 rows.

What is the sum ?

The sum is the forword counting of the numbers.

The first column is labeled sum with entries 5, 7, 9, 11, 13, 15, 17.

The second column is labeled frequency with entries 1, 2, 3, 4, 3, 2, 1.

The follow me to get 50 points.

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cooper got 60% off a pair of shoes. if the sale price of the shoes was $19.75 before tax, what was the original

Answers

Answer:

It would be (rounded up) 32.92.   (not rounded up) 32.91666667

Step-by-step explanation: