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Vinvika [58]
3 years ago
10

I have no idea what the answer is to this, I've tried everything Math is definitely my weakest subject.

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
5 0
After t years, 0.5^(t/29) of the original amount remains. 
<span>500·0.5^(58/29) = 500·0.5² = 500·0.25 = 125 g</span>
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Triangle F G E is shown. Angle F E G is a right angle. The length of hypotenuse F G is 18.6 inches and the length of F E is 12 i
Gala2k [10]

Answer:

Measure of ∠FGE is 40.2°.

Step-by-step explanation:

Refer to the attachment.

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

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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.

x=\arcsin \left(\dfrac{12}{18.6}\right)

Calculating the value,

x=40.17

Rounding to nearest tenth the value of angle is 40.2

Therefore measure of ∠FGE is 40.2° .

6 0
4 years ago
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