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Nady [450]
2 years ago
11

Solve A = a+b/2 for b

Mathematics
2 answers:
jeka942 years ago
6 0

Answer:

Step-by-step explanation:

I'm not sure if the right side is \frac{a + b}{2} or a + \frac{b}{2}, so I'll provide an answer for both:

A = \frac{a + b}{2}

2A = a + b

2A - a = b

A = a + \frac{b}{2}

A - a = \frac{b}{2}

2(A - a) = b

2A - 2a = b

Brums [2.3K]2 years ago
3 0
A = a +b/2
A -a =b/2
2(A-a) = b
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Measure of ∠FGE is 40.2°.

Step-by-step explanation:

Refer to the attachment.

Consider ΔFGE. Given that ∠FEG = 90° and ∠FGE is x°.

To find the value of ∠FGE use trigonometric ratios.

Use sine ratio to find the value of ∠FGE.

\sin \theta=\dfrac{opposite\:side}{hypotenuse\:side}

Rewriting it in terms of x° as follows,

\sin x=\dfrac{opposite\:side}{hypotenuse\:side}

Now find the opposite and hypotenuse side of the angle ∠FGE.

So opposite side of ∠FGE is FE and hypotenuse side of ∠FGE is FG.

Substituting the values,

\sin x=\dfrac{FE}{FG}

Given that length of FE is 12 inch and FG is 18.6 inch.

Substituting the value,

\sin x=\dfrac{12}{18.6}

To find the value of x, taking inverse sin.

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Calculating the value,

x=40.17

Rounding to nearest tenth the value of angle is 40.2

Therefore measure of ∠FGE is 40.2° .

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