Liana needs to purchase at least 50 party decorations. the party palace charges $0.50 per decorative streamer and $0.25 per balloon, including tax. which combination of streamers and balloons can liana purchase with $15.00 at the party palace?
a) 26 streamers and 24 balloons
b) 10 streamers and 41 balloons
c) 11 streamers and 38 balloons
d) 8 streamers and 43 balloons

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 (%).

If value of cos330° is √3/2 then find tan165°.

The measures of the legs of a right triangle are 15m and 20m . what is the length of the hypotenuse