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eduard
3 years ago
15

What is the length of arc ab?

Mathematics
2 answers:
Anika [276]3 years ago
6 0

6 pie cm

Step-by-step explanation:

7nadin3 [17]3 years ago
4 0
Before we do anything we must convert radians to degrees using a table. pi/3 radians equals 60 degrees, meaning the central angle of this arc is 60 degrees. This also tells us that the length of the arc is 1/6 of the whole circumference. All we have to do now is calculate the circumference which is diameter x pi.

arc = 1/6 pi x 36
arc = 6pi cm

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A cube with 40-cm-long sides is sitting on the bottom of an aquarium in which the water is one meter deep. (Round your answers t
Molodets [167]

Answer:

940.8 N

1254.4 N

Step-by-step explanation:

I would think the questions would be to calculate the forces at the top of the cube and at the sides. Thus:

On the top:

F = pressure * area

P = density * gravity * height

the height would be:

1m - 0.4m = 0.6m

replacing:

P = 1000 * 9.8 * 0.6 = 5880

A = (0.4) ^ 2 = 0.16

F = 5880 * 0.16

F = 940.8 N

On the sides:

dF = d * g * h * dA

dA = 0.4 * dh replacing

dF = 1000 * 9.8 * h * 0.4 * dh

dF = 3920 * h * dh

We integrate both sides and we have:

F = 3920 * (h ^ 2/2), h = 0.6 up to h = 1

F = (3920/2) * (1 ^ 2 - 0.6 ^ 2)

F = 1254.4 N

3 0
3 years ago
FIND PR.PLS HELP BRAINLIEST...
slega [8]

Answer:

6.2 units.

Step-by-step explanation:

We are given two angles and an opposite corresponding side. To solve for an unknown side, we can use the law of sines.

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Cross multiplying and solving will get you this:

x=\frac{8(sin(51))}{sin(90}

Which can simplify to:

x=8(sin(51))

Which putting into a calculator gets you:

x=6.2

So the line PR is 6.2 units long.

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Answer:

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Step-by-step explanation:

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8 0
3 years ago
How do do I find how many times faster is the cheetah over a human? Number 15
levacccp [35]
I thinks it is b .i hope this help you      
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3 years ago
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