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kupik [55]
2 years ago
12

Need help with number 20

Mathematics
1 answer:
olga2289 [7]2 years ago
5 0
4^4x = 8 
since 4 = 2^2  & 8= 2^3
so we can write the equation as 
(2^2)^4x = 2^3 
2^8x =2^3 
sp ,, 8x = 3 
then x = 3/8 
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Answer:

Shortest distance from the mountain is 3.17 miles.

Step-by-step explanation:

From the figure attached,

Let a mountain is located at point A.

Angle between the mountain and point B (∠B) = 53°

Angle between the mountain and point C (∠C) = 78°

Distance between these points = 3 miles

Since, m∠A + m∠B + m∠C = 180°

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By applying sine rule in triangle ABC,

\frac{\text{sin}(49)}{BC}=\frac{\text{sin}(53)}{AC}= \frac{\text{sin}(78)}{AB}

\frac{\text{sin}(49)}{3}=\frac{\text{sin}(53)}{AC}= \frac{\text{sin}(78)}{AB}

\frac{\text{sin}(49)}{3}=\frac{\text{sin}(53)}{AC}

AC = \frac{3\text{sin}(53)}{\text{sin}(49)}

AC = 3.17 miles

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AB = \frac{3\text{sin}(78)}{\text{sin}(49)}

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Answer:

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Step-by-step explanation:

As given

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