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,



AC = 
AC = 3.17 miles

AB = 
AB = 3.89 miles
Therefore, shortest distance from the mountain is 3.17 miles.
Answer:
5
Step-by-step explanation:
7.5/3= 2.5
2.5 x 2 = 5
Step-by-step explanation:
135 = 5m
5m = 135
m = 135/5
m = 27
One company charges:
$376 + $12*h
Other company charges:
$280 + $15*h
They will both charge the same when:
$376 + $12*h = $280 + $15*h
96 = 3*h
hours = 32
Cost will be $760
Double Check
$376 + $12 * 32 hours = $760
$280 + $15 * 32 hours = $760
Answer:
You would have 750 whole cakes
OR 1500 half cakes
Step-by-step explanation:
Have a great day! :)