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labwork [276]
3 years ago
14

What is the lcm of 24​

Mathematics
2 answers:
7nadin3 [17]3 years ago
7 0

Answer:

The lcm of 24 would be 24

Step-by-step explanation:

Vesnalui [34]3 years ago
5 0
24 would be the lcm of 26!!’
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Tara wants to fix the location of a mountain by taking measurements from two positions 3 miles apart. From the first position, t
Black_prince [1.1K]

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°

m∠A + 53° + 78° = 180°

m∠A = 180°- 131° = 49°

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

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

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

AB = 3.89 miles

Therefore, shortest distance from the mountain is 3.17 miles.

7 0
2 years ago
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