Write 4–6 sentences explaining why it is important to have precise definitions in mathematics. Choose five terms, some from geometry and some from other
areas of mathematics, and give a precise definition of each. Then change each
of those definitions so that it still describes the term but not precisely enough to
avoid ambiguity. Formulate counterexamples, with sketches when feasible, that
show how things could satisfy the less precise definitions but not match the
intended terms.

Write each fraction as an equivalent fraction with a denominator of 120then write the original fractions in order from samllest to largest

You are at a restaurant and owe $56.20 for your meal. you want to leave an 18% tip. approximately how much is your tip?

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 (%).