For the first 5 hours of a trip, a plane averaged 120 kilometers per hour. for the remainder of the trip, the plane traveled an average speed of 180 kilometers per hour. if the average speed for the entire trip was 170 kilometers per hour, how many hours long was the entire trip? a. 15b. 20c. 25d. 30e. 35

Step-by-step explanation:

For the first 5 hours of a trip, a plane averaged 120 kilometers per hour.

Distance traveled in first 5 hours = 5 x 120 = 600 km

Let the remainder time be t hours.

For the remainder of the trip, the plane traveled an average speed of 180 kilometers per hour.

Distance traveled in remaining hours = 180 x t = 180t

Total distance traveled = 600 + 180t

Total time taken = 5 + t

Average speed of entire journey = 170 km/hr

We have

    Total distance traveled = Average speed of entire journey x Total time taken

    600 + 180t = 170 x (5+t)

    600 + 180t = 850 + 170t

    10t = 250

       t = 25 hours

Total time taken = 5 + 25 = 30 hours

Option D is the correct answer.

the expression (1.26)2t reveals the approximate rate of increases in the number of plants semiannually.

hope this : )

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).