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: C, 4 gallons per minute.
Step-by-step explanation: To find the unit rate of the faucet, we must make the units an even gallons/minute. Thus, we multiply each rate by 5 to get 4 gallons/minute.
Answer:
49:28
Step-by-step explanation:
7+4=11
77/11=7
7*7=49
4*7=28
P(Al hits bottle first time) = 1/3
P(Al misses the first shot but hits on his second shot) =
P( Al misses and bill misses and Al hits) = 2/3 * 3/4 * 1/3 = 1/6
So required probability = 1/3 + 1/6 = 1/2
Answer: The price of system at extreme electronics is $570 and the price of system at ultra electronics is $395.
Step-by-step explanation:
Let the price of the system at the ultra electronics be u
Let the price of the system at extreme electronics be e
According to question, we have
Now, using the substitution method, we will solve the above system of equations.
Now, put the value of u in the first equation :
Now, we put the value of u in the equation which is given by:
Hence, the price of system at extreme electronics is $570 and the price of system at ultra electronics is $395.
