Tom drives 200 miles in 4 hours, he drives the first 32 miles at an average speed of 64mph, work out his average speed for the rest of the journey.

Tom's average speed for the rest of the journey = 48mph

Step-by-step explanation:

Total distance driven = 200 miles

total time taken = 4hours

first 32 miles , he drove at an average speed of 64mph, To find the amount of time taken for the first 32 miles,

We Use the formulae

Speed = distance / time

Time = Distance / speed

=32/64 = 1/2 =0.5 hours

The remaining distance = Total distance covered - first 32 miles covered

= 200 -32= 168 miles

The remaining time for rest of journey = Total time taken - time covered in the first 32miles

4hours - 0.5 hours

=3.5 hours

Therefore Average speed for the rest of the journey = Distance for the remaining journey/  remaining time

168miles/ 3.5hours = 48mph

here you hope this .

step-by-step explanation:

hypotenuse = √(15² + 8²)

=  √(225 +64)

=  √(289) = 17

sin(x) = cos(y) = 8/17

they are identical so long as you are doing the sine of one angle and the cosine of the only other angle that isn't the right angle.

step-by-step explanation:

∆abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. formed with the point d(1, 2) as its third vertex, then ∆abd is triangle.