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andrew-mc [135]
2 years ago
9

Use the arc length formula and the given information to find θ. s = 4 m, r = 13 m; θ = ?

Mathematics
2 answers:
solong [7]2 years ago
7 0
C=2πr and the circumference is measured at 360°

So if we were to set up a proportion we could say:

s/(2πr)=α/360

α=180s/(πr)

We are given that s=4m and r=13m so:

α=180(4)/(13π)

α=720/(13π) m  which is approximately:

α≈17.63°

Which is why radians are often used, because in radians...

α=[720/(13π)](π/180)

α=4/13 rads

Or the arc length in radians is simply expressed as:

s=rα

α=s/r  (which is much neater :P) then it is plain to see that:

α=4/13  rads


Airida [17]2 years ago
5 0

Answer:

best guess is it's 4/13 rad

Step-by-step explanation:

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You select a card at random from the cards that make up the word "replacement". Without replacing the card, you choose a second
lutik1710 [3]

Answer:

The probability is 14/55

Step-by-step explanation:

The word replacement contains 11 letters.

In which 4 letters are vowel = e,a,e,e

And 7 letters are not vowel = r,p,l,c,m,n,t

The probability of getting the vowel in the first try = 4/11

The probability of getting something that is not a vowel = 7/10.

The denominator is one less because the vowel card is not replaced, meaning there is one less card to choose from.

Multiply the values:

=4/11 * 7/10

=28/110

=14/55

The probability is 14/55....

5 0
2 years ago
An___ graph consists of distinct, isolated points
Bess [88]

Answer:

I believe the answer is a Discrete graph.

Step-by-step explanation:

Hope my answer has helped you and if not then I am sorry.

4 0
3 years ago
If f(x) = 3x^2 +1 and g(x) = 1-x, what is the value of (f-g)(2)
aleksley [76]

Answer:

14

Step-by-step explanation:

Let's find (f-g)(x)

3x^{2} + 1 - (1-x)\\3x^{2} + 1 -1 + x\\3x^{2} + x

Now let's plug in x=2, so to find (f-g)(2)

3(2)^{2} + 2\\12 + 2 = 14

8 0
3 years ago
Could someone help me on this
allochka39001 [22]

Answer:

13.) 314.2 in²

15.) 181.5 ft²

Step-by-step explanation:

The area of a circle is found using the equation:

A = πr²

In this equation, "π" represents the number pi (3.14....) and "r" represents the radius (half the diameter).

For 13.), you have been given the radius. Thus, you can substitute it into the equation and solve for "A".

A = πr²

A = π(10)²

A = π x (100)

A = 314.2 in²

For 15.), you have been given the diameter. To find the radius, you need to divide this value by 2. Once you find the radius, you can plug it into the equation and simplify like above.

diameter = 15.2 ft
radius = 7.6 ft

A = πr²

A = π(7.6)²

A = π x (57.76)

A = 181.5 ft²

8 0
1 year ago
Select all the possible ways to transform the letter V in a single transformation so that its point is up rather than down.
Alika [10]
I think that would be B,C....
6 0
3 years ago
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