The value of pi is 3.1415926 the mathematician archimedes believes up i was between 3 1/7 and 3 at 10 over 71 was archimedes correct explain in detail

Step-by-step explanation:

3 1/7 = 3.142857

3 10/71 = 3.140845

Actual value of pi = 3.14159 to 5 decimal places.

The actual value of pi is larger than 3.140845

The actual value of pi is smaller than 3.142857.

Note the key word is between

3.1408 < pi < 3.142857

When I taught school, I tried to impress upon my students that the counting systems of the ancients was so crude that it was a miracle they could come up with any kind of estimate especially one like 3 and 10/71.

There is mention of pi in the Bible (somewhere in 2nd Kings). It gives a value of 3. You make think that is a pretty poor estimate. but if you knew how the counting system worked, you'd be impressed by how good the answer was.  The history of man is one of baby steps until now when we are making giant strides in almost every field that involves numbers. Any mysteries have multiplied by just as much.

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

10 glasses of juice could be made with 5 carrots, 1,500 orange juice, 2,000 papaya juice.