You ride your bike to campus a distance of 6 miles and return home on the same route. going to campus, you ride mostly downhill and average 5 miles per hour faster than on your return trip home. if the round trip takesnbsp two hours and nbsp10 minuteslong dashthat is, startfraction 13 over 6 endfraction hourslong dashwhat is your average rate on the return trip?

v=4 mph

Step-by-step explanation:

Given

Distance between school and home is 6 miles

let v be the speed during return trip in miles/hr

total time taken

During arrival

During Return

Total time

Thus velocity during return trip

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere