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andrew-mc [135]
3 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]3 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]3 years ago
5 0

Answer:

best guess is it's 4/13 rad

Step-by-step explanation:

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David cast a shadow 42" long at the same place and time in Emma cast a shadow 28" long. David is 66" tall. What is Emma's height
Nikolay [14]

ANSWER

Emma is 44" tall

EXPLANATION

We have that David cast a shadow 42 inches long and he is 66 inches tall.

At that same place and time, Emma cast a shadow of 28 inches.

Since they are at the same spot and time, we can conclude that the ratio of their height to shadow must be the same.

Let Emma's height be x.

The ratio of David's shadow to height is:

42 : 66 or 42 / 66

For Emma, it is:

28 : x or 28 / x

That means that:

\begin{gathered} \frac{42}{66}\text{ = }\frac{28}{x} \\ \text{Solve for x by cross-multiplying:} \\ 42\cdot\text{ x = 66 }\cdot\text{ 28} \\ x\text{ = }\frac{66\cdot\text{ 28}}{42} \\ x\text{ = 44 inches} \end{gathered}

So, Emma is 44" tall.

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11 months ago
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LUCKY_DIMON [66]

The answer is B. 15 cm

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In the figure below AB is a diameter of circle P. What is the arc measure of minor arc AC in degrees? ​
arlik [135]

Answer:

P = 139

Step-by-step explanation:

See attachment for complete question

Required

Determine measure of Arc length AC

The interpretation of this question is to find P

If AB is the diameter, then

P + 41 = 180

P + 41 - 41= 180 - 41

P = 139

<em>Hence, the measure is 139 degrees</em>

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