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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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How many times smaller will a number become if is it decreased by 20%?
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Step-by-step explanation:

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Simora [160]
Surface area is just the area of all these 4 triangles plus the rectangle.

First we can find the area of the rectangle.

\sf A=lw

Half of the length is 28 cm, so the full length must be 28 * 2 = 56 cm.

\sf A=(56)(27)

\sf A=1512cm^2

The base for the left and right triangles are 27. The heights would be the net length minus half the length of the rectangle:

\sf 82.8-28=54.8\? cm

Calculate the area:

\sf A=\dfrac{1}{2}bh

\sf A=\dfrac{1}{2}(27)(54.8)

\sf A=739.8\?cm^2

We have two of these triangles.

\sf 739.8\times 2=1479.6\? cm^2

Now do the other two pair of triangles. The bases for them are 28 + 28 = 56 cm. The heights would be the net width minus the width of the rectangle:

\sf 81.2-27=54.2\?cm

Now find the area:

\sf A=\dfrac{1}{2}bh

\sf A=\dfrac{1}{2}(56)(54.2)

\sf A=1517.6\? cm^2

We have two of these triangles.

\sf 1517.6\times 2=3035.2\?cm^2

Add all the areas together:

\sf 1512+1479.6+3035.2=\boxed{\sf 6026.80\? cm^2}
7 0
3 years ago
I want to know what is 600 minutes to days
Damm [24]

Answer:

Not even a whole day. To be exact, it is .416667 of a day

Step-by-step explanation:

Since 60 minutes are in 1 hour, than 600 minutes would be 10 hours.

24 hours in a day, so you are 14 hours short, about 840 minutes.

6 0
3 years ago
Read 2 more answers
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