You! you have 29 coins consisting of quarters and dimes. the number of dimes is 5 more than three times the number of quarters. how many dimes do you have? how many quarters do you have?

let x be the number of quarters, and y be the number of dimes.

we know that x + y = 29

then we are also given that

y = 5 + 3x

so we can solve for x and y:

plug y into the first equation:

x + 5 + 3x = 29

4x = 24

x = 6

and

y = 5 + 3*6 = 23

I have 6 quarters and 23 dimes

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