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
Delicious77 [7]
3 years ago
8

How is the formula for the circumference of a circle derived? Drag and drop the correct word into each box to complete the expla

nation.

Mathematics
2 answers:
n200080 [17]3 years ago
4 0

Answer:

diameter

circumference

\pi

diameter

Step-by-step explanation:

First, find the length of the diameter (d) and the length of the circumference of the circle (c).

Next, divide the length of the circumference c by the length of the diameter d and set up an equation

\dfrac{c}{d}=\pi

where the ratio equals to \mathbf{\pi } (the definition of \pi)

Then, solve the equation for the circumference c:

c=\pi d

Finally, substitute 2 times the radius for the diameter

c=\pi \cdot 2r=2\pi r

SVETLANKA909090 [29]3 years ago
3 0

Answer:

Step-by-step explanation:

You might be interested in
What is the value of x?<br> 32<br> 36<br> 37<br> 40
hammer [34]
X+4x-20=180
5x-20=180
5x=200
x=40
5 0
3 years ago
Janet surveyed a class or students she recorded the number of hours that each student volunteered this line plot shows the resul
maks197457 [2]

Answer:

Part A: 20 students

Part B: 4 hours

Step-by-step explanation:

Part A:

To find the number of students surveyed, we count the number of x there are in the graph.

students = 1 + 2 + 3 + 5 + 1 + 1 + 3 + 2 + 2 = 20

Part B:

To find the mean, we need to find the total number of hours volunteered first.

hours = 1x0 + 2x1 + 3x3 + 5x3 + 1x4 + 1x5 + 3x6 + 2x7 + 2x8 = 80

Now, we can find the mean. We divide the total number of hours volunteered by the number of students.

Mean = 80 ÷ 20 = 4

7 0
3 years ago
14. Max wants to buy some shorts that are
zheka24 [161]

Answer:

A. ($39)+(8)+(8)+(8)+(8)=71

Therfore he can buy 4 pairs of shorts.

B. No, if he wanted to buy 6 pairs of shorts it would be $87.00 with the sneakers. If he wanted to buy the shorts by themselves then it would only be $48.00 WITHOUT the sneakers.

C. The most amount of shorts he can buy would be 4 WITH the sneakers.

Step-by-step explanation:

Hope this helps. Not sure if right or not but when i was typing it out it made sense. Goodluck! brainliest?

3 0
3 years ago
Ms. Burkhard wants to trim the border below to get rid of the part that is torn. After
motikmotik
What is there to zoom inn?
3 0
2 years ago
Work out the area of abcd.<br><br> please ensure you give workings out too.
ipn [44]

Answer:

\displaystyle A_{\text{Total}}\approx45.0861\approx45.1

Step-by-step explanation:

We can use the trigonometric formula for the area of a triangle:

\displaystyle A=\frac{1}{2}ab\sin(C)

Where a and b are the side lengths, and C is the angle <em>between</em> the two side lengths.

As demonstrated by the line, ABCD is the sum of the areas of two triangles: a right triangle ABD and a scalene triangle CDB.

We will determine the area of each triangle individually and then sum their values.

Right Triangle ABD:

We can use the above area formula if we know the angle between two sides.

Looking at our triangle, we know that ∠ADB is 55 DB is 10.

So, if we can find AD, we can apply the formula.

Notice that AD is the adjacent side to ∠ADB. Also, DB is the hypotenuse.

Since this is a right triangle, we can utilize the trig ratios.

In this case, we will use cosine. Remember that cosine is the ratio of the adjacent side to the hypotenuse.

Therefore:

\displaystyle \cos(55)=\frac{AD}{10}

Solve for AD:

AD=10\cos(55)

Now, we can use the formula. We have:

\displaystyle A=\frac{1}{2}ab\sin(C)

Substituting AD for a, 10 for b, and 55 for C, we get:

\displaystyle A=\frac{1}{2}(10\cos(55))(10)\sin(55)

Simplify. Therefore, the area of the right triangle is:

A=50\cos(55)\sin(55)

We will not evaluate this, as we do not want inaccuracies in our final answer.

Scalene Triangle CDB:

We will use the same tactic as above.

We see that if we can determine CD, we can use our area formula.

First, we can determine ∠C. Since the interior angles sum to 180 in a triangle, this means that:

\begin{aligned}m \angle C+44+38&=180 \\m\angle C+82&=180 \\ m\angle C&=98\end{aligned}

Notice that we know the angle opposite to CD.

And, ∠C is opposite to BD, which measures 10.

Therefore, we can use the Law of Sines to determine CD:

\displaystyle \frac{\sin(A)}{a}=\frac{\sin(B)}{b}

Where A and B are the angles opposite to its respective sides.

So, we can substitute 98 for A, 10 for a, 38 for B, and CD for b. Therefore:

\displaystyle \frac{\sin(98)}{10}=\frac{\sin(38)}{CD}

Solve for CD. Cross-multiply:

CD\sin(98)=10\sin(38)

Divide both sides by sin(98). Hence:

\displaystyle CD=\frac{10\sin(38)}{\sin(98)}

Therefore, we can now use our area formula:

\displaystyle A=\frac{1}{2}ab\sin(C)

We will substitute 10 for a, CD for b, and 44 for C. Hence:

\displaystyle A=\frac{1}{2}(10)(\frac{10\sin(38)}{\sin(98)})\sin(44)

Simplify. So, the area of the scalene triangle is:

\displaystyle A=\frac{50\sin(38)\sin(44)}{\sin(98)}

Therefore, our total area will be given by:

\displaystyle A_{\text{Total}}=50\cos(55)\sin(55)+\frac{50\sin(38)\sin(44)}{\sin(98)}

Approximate. Use a calculator. Thus:

\displaystyle A_{\text{Total}}\approx45.0861\approx45.1

8 0
3 years ago
Other questions:
  • A painter earns 15$ per hour. What is the minimum number of hours he must work to earn at least 200$. Write an inequality to rep
    9·1 answer
  • You bike 4 miles the first day of your​ training, 4.2 miles the second​ day, 4.6 miles the third​ day, and 5.4 miles the fourth
    6·1 answer
  • What is the value represented by the letter A on the box plot of the data?
    14·1 answer
  • How to put 5.5÷5 in a model
    8·1 answer
  • What is the greatest common factor 10 and 20 have in common?
    8·1 answer
  • Can a math guru help me out
    11·1 answer
  • Given: m = 1/2 and b = 4
    6·1 answer
  • the area of a rectangle with the width x-5 and the length x-12 is 44 square feet. what are the dimensions
    15·1 answer
  • 2.5 x 10⁻⁴<br> Give an explanation on how to do the answer and subject please for brainliest
    11·2 answers
  • Solve 3x+9 so it has no solution.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!