The sum of four times a number and fifteen is forty-seven. Find the number.

8 is the number

Step-by-step explanation:

I don't know why it took me so long to figure it out, 4 x 8 = 32 32 + 15 = 47

It probably took me a really long time because I am tired, and I am not using a calculator.

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: finding the extract measurements and knowing the points

step-by-step explanation: