1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ierofanga [76]
3 years ago
7

A circle has a radius of \blue{3}3start color #6495ed, 3, end color #6495ed. An arc in this circle has a central angle of 20^\ci

rc20 ∘ 20, degrees.
Mathematics
1 answer:
zepelin [54]3 years ago
3 0

Answer: The complete question is "A circle has a radius of \blue{3}3start color #6495ed, 3, end color #6495ed. An arc in this circle has a central angle of 20^\circ20 ∘ 20, degrees. What is the length of the arc?"

The length of the arc is 1.06667 units.

Step-by-step explanation:

According to the question the radius of the circle R=3 \, units and central angle of arc is \Theta =20^{o}

As we know that the length of the arc is given as: L=R\Theta

Where R is radius of the circle, L is the length of the arc and  \Theta is central angle in radian.

Now, \Theta =20^{o}\times \frac{\Pi }{180}=\frac{\Pi }{9} \, rad

Therefore, length of the arc is

L=3\times \frac{\Pi }{9}=\frac{\Pi }{3} =\frac{3.14}{3}=1.0466667 \, units

You might be interested in
On an island where knaves never tell the truth and knights always tell the truth, you meet 3 of the island's inhabitants: Fred,
marin [14]

Answer:

There is one knave

Step-by-step explanation:

Let's analyze the two possible scenarios, from the unheard Fred's answer

<u><em>- SCENARIO 1: Fred is a knave.</em></u>

If Fred is a Knave, he must have told to the other natives that he wasn't, <u>remember that Knaves will never tell the truth.</u> In that sense, George said that Fred denied being a knave, he would be telling the truth (Fred is a knight) and Quincy said that Fred is a knave, which would also be true (Quincy is a knight too).

<em><u>-SCENARIO 2: Fred is a knight</u></em>

If Fred is a knight, he must have told to the other natives that he wasn't a knave, he would be telling the truth. In this case, George would also be telling the truth by ensuring that Fred denied being a knave (Fred is a knight). However, Quincy would be lying to ensure that Fred is a knave. In this scenario Quincy is the knave

In conclusion, in both scenarios, there is only one knave.

7 0
3 years ago
A coach surveyed a random sample of 200 college athletes about their height.
JulijaS [17]

Answer:

i. A bar graph is an appropriate display.

ii. A bar graph is appropriate because the frequencies are given.

Step-by-step explanation:

A bar graph is a graphical method that can be used to present an information from a sample of data. It requires drawing of bars of equal width and distance with respect to the information given.

While a pie chart is a method that requires presenting information in a circular chart with respect to each data in sectors of different central angles.

For the given question, the most appropriate method to use is the bar graph with respect to the given information. Thus, the statements that are correct about the data in the table are:

i. A bar graph is an appropriate display.

ii. A bar graph is appropriate because the frequencies are given.

4 0
2 years ago
Use quadratic regression to find a
fredd [130]

Answer:

1x² + 1x -3

Step-by-step explanation:

A quadratic regression is the process of finding the equation of the parabola that best fits a set of data. As a result, we get an equation of the form: y=ax^2+bx+c \text{ where } a\ne0 .

To compute manually the values of a, b and c is a rather complicated process using a technique known as least squares method.

However, we can use a scientific calculator to compute the three values and arrive at the quadratic equation

Using the points provided, the values are:

a = 1, b = 1, c = -3

The function is 1x² + 1x -3

Note that this is a best-fit function it does not necessarily pass through all 3 points but approximates. The attached graph shows that the function does indeed pass through 2 of the 3 points

6 0
2 years ago
You are considering adding a new food product to your store for resale. You are certain that, in a month, the minimum demand for
kolbaska11 [484]

Answer:

Using EMV analysis, the number of units of the new product should be purchased for resale = Purchase 7.

The maximum EMV of profit you can make is 270.

Explanation:

We can use the following method to solve the given problem

Solution:

Using EMV analysis,

EMV (Purchase 6 for resale)= 6(40)(0.1) + 6(40)(0.4) + 6(40)(0.5)=240

EMV (Purchase 7 for resale) = [6(40)-60](0.1) +7(40)(0.4) + 7 (40)(0.5) = 270

EMV (Purchase 8 for resale) = [6(40)-2(60)] (0.1) + [7 (40) - 60] (0.4) + 8(40)(0.5)= 260

Largest EMV= 270; Choose to purchase 7 units for resale.

Step-by-step explanation:

Hopefully this helps :)

6 0
2 years ago
What is a good estimate for the solution to the equation x3 = 95 how do you come up with your estimate
Murrr4er [49]

Answer:

3x = 95

95 ÷ 3 = 31.6666......

I used bus stop method to work this out

Therefore the estimate would be:

x = 32 or 31.7 depending on how accurate it needs to be.

You could alternatively change 95 to 96 and calculate it easily like that

7 0
3 years ago
Other questions:
  • A previous analysis of paper boxes showed that the the standard deviation of their lengths is 9 millimeters. a packer wishes to
    13·1 answer
  • Which table represents the graph below?
    12·2 answers
  • Which decimal is between 4.1 and 4.3?
    10·2 answers
  • A shirt and a tie together cost $48 the shirt costs $22 more than the tie what is the cost of the shirt
    9·2 answers
  • Four-ninths of those who rode the giant's gyro at the fair were delirious. All the rest were dazed. What fraction of those who r
    11·1 answer
  • Find the distance between the points (2,10) and (-6,-7)
    13·1 answer
  • The process of completing the square will always work.<br>O True<br>O False<br>​
    15·1 answer
  • HELP!!! Find the lengths of the diagonals of this trapezoid.
    15·1 answer
  • A candy maker has 12 feet of taffy. How many 4/10 inch pieces can he make
    13·1 answer
  • 6 is 4% of what number?​
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!