Answer:
Step-by-step explanation:
sin²β + sin²β×tan²β = tan²β
sin²β( 1 + tan²β ) = tan²β
~~~~~~~~~~~~~~~~
<u><em>sin²β + cos²β = 1 </em></u>
<u><em /></u>
+
=
⇒ tan²β + 1 = sec²β ⇔ 1 + tan²β = sec²β
~~~~~~~~~~~~~~
1 + tan²β =
L.H. = sin²β (
) = tan²β
R.H. = tan²β
Answer:
D
Step-by-step explanation:
2 5/6=2 10/12
7/4=1 3/4= 1 9/12
2 10/12+1 9/12= 4 7/12
you can just change the denominators to the same which is 12. Hope you appreciate it!
Slope of line passing through two points (x1,y1 ) and (x2 ,y2 ) is given by
m= y2-y1/x2 −x1
Since the line passes through (−2,5) and (6,4)
We have
Slope(m)= 4-5/6−(−2) =− 1/8
The probability that both items will be Harry Potter themed is 1/8.
<u>Step-by-step explanation:</u>
Total Number of pajama pants n(P) =8
Total number of slippers n(S)= 3
Number of Harry Potter themed Pajama pants n(H.P)=3
Number of Harry Potter themed slippers n(H.S)=1
We have to determine the probability of selecting pants and slippers that are both Harry Potter themed.
If two events A and B are independent, then the probability of A and B is given by
P(A and B)=P(A)*P(B)
Here the events selecting Harry potter themed pants and selecting harry Potter themed slippers are independent.





Hence probability of selecting Harry potter themed pants and Harry potter themed slippers is 1/8
Base salary = $400.00
Commission = 5% of $1650 = 0.05 x 1650 = $82.50
Total pay = $400 + $82.50 = $482.50
Answer: $482.50