Rafael is building a circular table with a diameter of 2.5 feet. The wood costs $32.50 per square foot. How much will it cost Rafael to make the table? Use 3.14 to approximate π. Enter your answer in the box.

If each square foot cost $32.50, then the wood will cost $32.50 * 4.90625 = $159.45 :)

159.45 dollars

Step-by-step explanation:

diamiter of table = 2.5 feet

radius of table = 2.5/2 = 1.25

area of the circular table = π r ²

= 3.14 x 1.25^2

= 4.9 feet²

Given rate of wood = $ 32.5 per square feet

rate of 4.9 square feet wood = 32.5 x 4.9

= $ 159.45

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

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step-by-step explanation: