Moises comes up to Juan and tells him, "I bet you $45 I can get more phone numbers than you!". Juan takes Moises up on that bet. If Moises gets 8 phone numbers that week, write an inequality that represents how many phone numbers Juan needs to not lose the bet.

Step-by-step explanation:

Given: Moises comes up to Juan and tells him, "I bet you $45 I can get more phone numbers than you!"

Moises gets 8 phone numbers that week

To find: an inequality that represents how many phone numbers Juan needs to not lose the bet.

Solution:

Amount of bet = $45

Number of calls that Moises get that week = 8

Moises wins a bet if he gets more phone numbers than Juan

Let denotes phone numbers that Juan get.

An inequality that represents how many phone numbers Juan needs to not lose the bet is

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