So the plane of Olivia travels from west to east with an elevation of 6.3 km. To summarize everything and to get the speed of the plane, I used the Angle Side Angle Triangle Theorem and also the law of sine and the formula would be the following:
First is to get the distance traveled by the plane within the range of 3 minutes. To get that distance you must get the following variable.
total distance = distance travel from west to Todds position + distance traveled from Todds position to the reach of the elevation
Dt = D1 + D2
first is getting the D1
D1 = sin41 (6.3) / sin 49
(by following the law of sine and the angles is based on the triangle)
D1 = 5.477 km
then get D2,
D2 = 6.3 sin 65 / sin 25
D2 = 13.510
After that get the total distance
Dt = D1 + D2
Dt = 18.987 km
To get the speed of the plane, you must divide the distance to the time (in minutes) then multiply it by 60 to make it as an hour.
Speed = 18.987 /3 * 60 = 379.74 km/hr
Answer:
The indefinite integral
= 
ˣ 
⁺ C
Step-by-step explanation:
x= 10sinθ
dx = 10cosθdθ
the step-to-step explanation is in the attachment
Answer: 
Step-by-step explanation:
Let be "x" the price per pound for grapefruit, "y" the price per pound for oranges.
We know that Steve buys 2 pounds of grapefruit and 3 of oranges for $7.20.
This means that the sum of the products of 
and 
is $7.20. Then, we can write this equation to represent it:
Kennedy buys 4 pounds of grapefruit and 2 pounds of oranges for $8.80.
This means that the sum of the products of 
and 
is $8.80. Then, we can write this equation to represent this:
Therefore, we get that the system of equations that models the situation is:
80/75 in simplest terms is 16/15
Divide both the numerator and denominator by 5
