parallel lines r and s are cut by two transversals, parallel lines t and u. Which angles are corresponding angles with angle 8?
1 answer:
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Answer: (A) 30%
Step-by-step explanation:
Given : The probability that a bird will lay an egg =0.75
The probability that the egg will hatch =0.50
Now, the probability that the egg will lay an egg and hatch =
Also,The probability that the chick will be eaten by a snake before it fledges =0.20
Then, the probability that the chick will not be eaten by a snake before it fledges : 1-0.20=0.80
Now, the probability that a parent will have progeny that survive to adulthood will be :-
Hence, the probability that a parent will have progeny that survive to adulthood = 30%
X is in the second quadrant means that x/2 is in the first quadrant.
Consider the right triangle drawn in the figure. Let tan(x/2)=a.
Then, let the length of the opposite side to x/2 be a, the adjacent side be 1 and the hypotenuse be square root of a squared +1, as shown in the figure.
sin(x/2)=|opp side|/ |hypotenuse| =
cos (x/2) = |adj side|/ |hypotenuse| =
from the famous identity: sin(2a)=2sin(a)cos(a), we have:
2sin(x/2)cos (x/2)=sin(x)
thus
(3a-1)(a-3)=0
thus a=1/3 or a=3
thus tan(x/2)=1/3 or tan(x/2)=3
Answer: {1/3, 3}
Consider the right triangle drawn in the figure. Let tan(x/2)=a.
Then, let the length of the opposite side to x/2 be a, the adjacent side be 1 and the hypotenuse be square root of a squared +1, as shown in the figure.
sin(x/2)=|opp side|/ |hypotenuse| =
cos (x/2) = |adj side|/ |hypotenuse| =
from the famous identity: sin(2a)=2sin(a)cos(a), we have:
2sin(x/2)cos (x/2)=sin(x)
thus
(3a-1)(a-3)=0
thus a=1/3 or a=3
thus tan(x/2)=1/3 or tan(x/2)=3
Answer: {1/3, 3}