Answer:
Step-by-step explanation:
Here we are given that the value of sinA is √3-1/2√2 , and we need to prove that the value of cos2A is √3/2 .
<u>Given</u><u> </u><u>:</u><u>-</u>
•
<u>To</u><u> </u><u>Prove</u><u> </u><u>:</u><u>-</u><u> </u>
•
<u>Proof </u><u>:</u><u>-</u><u> </u>
We know that ,
Therefore , here substituting the value of sinA , we have ,
Simplify the whole square ,
Add the numbers in numerator ,
Multiply it by 2 ,
Take out 2 common from the numerator ,
Simplify ,
Subtract the numbers ,
Simplify,
Hence Proved !
Answer:
The correct answer is C
Step-by-step explanation:
In order to find the y-intercept, you need to first solve the inequality for y.
5x - 3y ≤ 15
-3y ≤ -5x + 15
y ≥ 5/3x - 5
Now we look at the constant at the end. Since that constant is -5, we know C to be the answer.
<span>Kevin is 16
Timothy is 10
------------
check:
4 yrs ago Kevin was 12
4 yrs ago Timothy was 6
Kevin was twice his age
OK</span>
This problem is easier solved by finding the probability that she does NOT do her homework both Monday and Tuesday, which is obtained by the multiplication rule.
P(no HW on Monday) = 1-0.75 = 0.25
P(no HW on Tuesday) = 1-0.75 = 0.25
P(no HW on both Monday and Tuesday) = 0.25*0.25=0.0625
[by the multiplication rule]
This means that the rest of the time (1-0.0625=0.9375) Elsie does her homework either Monday, or Tuesday, or both days.
=>
P(HW either Monday, Tuesday, or both) = 0.9375
(note: in current English, Monday or Tuesday means "either Monday, Tuesday, or both days")
12!
= 12X11X10X9X8X7X6X5X4X3X2X1
479001600 I believe