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bazaltina [42]
3 years ago
6

Write 3 1/8 as a decimal.

Mathematics
2 answers:
Alenkinab [10]3 years ago
5 0
No it is not. It is a fraction
VladimirAG [237]3 years ago
3 0
The answer is 3.125
That's correct...
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Use the information given in the diagrams to show that
Vlad1618 [11]

Answer:

  d = k·sin(2θ)·sin(α)/(sin(θ)·sin(β))

Step-by-step explanation:

The Law of Sines tells us that sides of a triangle are proportional to the sine of the opposite angle. This can be used along with a trig identity to demonstrate the required relation.

__

<h3>top triangle</h3>

The law of sines applied to the top triangle is ...

  BC/sin(A) = AC/sin(θ)

Triangle ABC is isosceles, so the base angles at B and C are congruent. Then the angle at vertex A is ...

  ∠A = 180° -θ -θ = 180° -2θ

A trig identity tells us the sine of an angle is equal to the sine of its supplement. That means the sine of angle A is ...

  sin(A) = sin(180° -2θ) = sin(2θ)

and our above Law of Sines equation tells us ...

  BC = sin(A)/sin(θ)·AC = k·sin(2θ)/sin(θ)

__

<h3>bottom triangle</h3>

The law of sines applied to the bottom triangle is ...

  DC/sin(B) = BC/sin(D)

  d/sin(α) = BC/sin(β)

Multiplying by sin(α) we have ...

  d = BC·sin(α)/sin(β)

__

Using our expression for BC gives the desired relation:

  d = k·sin(2θ)·sin(α)/(sin(θ)·sin(β))

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The formula is pi*r^2*h/3
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