Jennifer stops at Tim Hortons before work to buy coffee and donuts for her and her co-workers. After buying 5.00 worth of donuts and all her coffees at 1.29 each, her total was 11.45. How many coffees did she purchase?

She purchased 5 coffees

Step-by-step explanation:

$5.00+$1.29c=$11.45

Subtract $5.00 on both sides:

$5.00-$5.00+$1.29c=$11.45-$5.00

$1.29c=$6.45

Divide 1.29 on both sides:

1.29c/1.29=6.45/1.29

c=5 coffees

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°

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step-by-step explanation: