The lid of a grand piano is propped open by a
supporting arm, as shown in the diagram at
right. Carson knows that the supporting arm
is 2 feet long and makes a 60° angle with the
piano. He also knows that the piano lid
makes a 23° angle with the piano. How wide
is the piano?

For f(x)=2x+3 and g(x)=x^2- 8 find (f+g) (x)

Acompany manufactures large valves, packed in boxes. a shipment consists of 1500 valves packed in 75 boxes. each box has the outer dimensions 1.2 x 0.8 x 1.6 m and the inner dimensions 1.19 x 0.79 x 1.59 m. the boxes are loaded on a vehicle (truck + trailer). the available capacity in the vehicle combination is 140 m3. each valve has a volume of 0.06 m3. - calculate the load factor on the box level (%). - calculate the load factor on the vehicle level (%). - calculate the overall load factor (%).

Akitchen is 12 ft. by 14 ft. with 10 ft. high walls. how much would it cost to put vinyl flooring in this room? $8.80 per ft