The first indianapolis 500 auto race took place in 1911. the winning car covered the 500 miles in 6.7 hours. what was the winning cars average rate of speed in miles per hour?

Can you me find the slope! (30 points)

If tan2a=cot(a+60), find the value of a, where 2a is an acute angle

Acompany manufactures three types of cabinets. it makes 110 cabinets each week. in the first week, the sum of the number of type-1 cabinets and twice the number of type-2 cabinets produced was 10 more than the number of type-3 cabinets produced. the next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week.