Evaluating the tangent function for the two values we obtain the following:
tan 135=tan(135+180)=tan 315=-1
next:
tan -135=tan(180-135)=tan 45=1
thus comparing the two we see that tan 135 is negative while tan -135 is positive
Answer: 44%
Step-by-step explanation:
For a circle of radius R, the area is written as:
A = pi*R^2
Where pi = 3.14
If we increase the radius by 20%, the new radius will be:
R´ = R + 0.20*R = 1.20*R
The new area will be:
A´ = pi*(1.20*R)^2 = (1.20)^2*pi*R^2
= 1.44*pi*R^2
And pi*R^2 = A, the original area, then_
A´ = 1.44*A = A + 0.44*A
This means that the percentage in which the area increased is:
0.44*100% = 44%
150 ÷ 20 = 7.5 minutes per 1 mile
7.5 x 6 = 45 minutes
7.5 + 7.5 = 15 minutes or 2 miles in 15
60 ÷ 7.5 = 8 mph
mpm = 7.5
90 ÷ 5 = $18 per hour
18 x 8 = $144
18 x 3 = 54 (close to $60)
Step-by-step explanation:
hope this helps
Answer and Step-by-step explanation:
Theoretical probability is expected probability of an occurrence hence the name theoretical. It is theoretical and not practical as it has not been experimented or actually become practical. Experimental probability on the other hand is probability that has been experimented- it is the result of test of probability on the actual population.
In the case above, the theoretical which is the expected probability that has not been experimented is 1/2 of getting Red cards. This probability is theoretical and therefore may change when tested. Hence the different result of 7 Red and 13 blacks with 20 cards picked when experimented
It would be 40% is an apple at first, the peach would be 66%.
