Emilio spent half of his savings to buy a video game. The video game cost $63.75. How much was Emilio’s savings? Define a variable and write an equation for this real-world problem. 6. In Austin, Texas, the State Capitol Building has a height of 308 feet. This is 274.4 feet higher than the Alamo located in San Antonio, Texas. What is the height of the Alamo? Define a variable and write an equation for this real-world problem.

1) Emilio's total saving - $127.5

2) 33.6ft

Step-by-step explanation:

1) $63.75 x 2 = $127.5

2) 308ft - 274.4ft = 33.6ft

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