Answer:
The bird has to fly 7.5 m
Step-by-step explanation:
Please see diagram in attached image.
Notice that there is a right angle triangle that defines the situation, and you know two elements of such triangle;
1) one acute angle (
), and
2) the side opposite to that angle.
What you need to find is the side adjacent to the angle, which is what the bird needs to fly horizontally to be above the fish. We named that "x".
The trig function that relates such triangle elements is the tangent:

which rounded to the nearest tenth is: 7.5 m
6 weeks until she reaches 60 kilo
Answer:
height: 125m; distance: 500m
Step-by-step explanation:
x = 250
f(x) = x − 0.002x2
f(x) = 250 − 0.002(250 )2
= 250 − 0.002(62,500)
= 250 − 125
= 125
250 times 2 = 500
Answer:
Mean
Step-by-step explanation:
The most common measures of central tendency are mode, median and mean.
The mode of the data set is the value that is repeated the most. In this case, the mode is $6 (appears twice), which does not support the raise claim of the employee.
The median is the central value of the data set. In this case, the median is also $6 (third highest value), which does not support the raise claim of the employee.
The mean of the salaries is:

Since the mean is greater than the employee's current wage, it would best support his request to be paid more.