Lenny is planning to cut down a pine tree. he has parked his truck 90 feet away from the base of the tree and wants to make sure that the tree will not hit his truck when it falls. the angle of elevation from the base of the truck to the top of the tree is 50°. how tall is the tree to the nearest foot? should lenny move his truck?
a)
58 feet; no
b)
69 feet; no
c)
75 feet; no
d)
107 feet; yes

The ratios 3: 9, 4: 12, 5: 15, and 6: 18 are a pattern of equivalent ratios in the ratio table. which is another ratio in this pattern?

Select the graph of the solution. click until the correct graph appears. |x| = 3

Ascientist studied a population of workers to determine whether verbal praise and/or tangible rewards affect employee productivity. in the study, some workers were offered verbal praise, some were offered tangible rewards (gift cards, presents, and some were offered neither. the productivity of each participant was measured throughout the study by recording the number of daily tasks completed by each employee. which inference might the scientists make based on the given information? a.) the number of daily tasks completed by each employee may influence the dependent variable, which is whether the employee receives verbal praise, tangible rewards, or neither. b.) verbal praise and/or tangible rewards may influence the independent variable, which is the number of daily tasks completed by each employee. c.) verbal praise and/or tangible rewards may influence the dependent variable, which is the number of daily tasks completed by each employee. d.) the dependent variables, which are verbal praise and tangible rewards, may influence the number of daily tasks completed by each employee.