Two ways:
Step-by-step explanation:
1. First way. Using the trig unit circle.
tan (pi - x) = - tan x
2. Second way. Apply the identity:
tan(a-b)=tan a- tan b/ 1 - tan a×tan b
tan (π - x)= tan π - tanx/1 - tan(π)×tanx
Since tan (pi) = 0, therefor:
tan(π−x)=−tanx
Answer:
254 cubic feet.
Step-by-step explanation:
It is given that the a cylindrical tank is 6 feet across and 9 feet deep. It means
Diameter of cylinder = 6 feet
Radius of the cylinder = 6/2 = 3 feet
Height of the cylinder = 9 feet
The volume of a cylinder is

where, r is radius and h is height of the cylinder.
Substitute r=3 and h=9 in the above formula.



We need to find the maximum number of cubic feet. So approx the value to a whole number.

Therefore, the maximum number of cubic feet of paint the tank will hold is 254 cubic feet.
Answer:
Try using this calculator
Step-by-step explanation:
https://www.mathpapa.com/algebra-calculator.html
Answer:
The total weight is 5kg
Step-by-step explanation:
Given
See attachment for box plot
Required
Determine the total weight of the kitten
First, we represent the plot in the following table where the number of dots represent the frequency.
So, we have:






Multiply the weight by the frequency, then add up the result
So, we have:



Express as improper fraction

Take LCM



Total dogs 88
Total poodle = 33
P(Poodle, then Poodle) = (33/88)(33/88) = 9/64
Answer: 9/64