<h3>
Answer: Choice H) 2</h3>
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Explanation:
Recall that the pythagorean trig identity is 
If we were to isolate sine, then,

We don't have to worry about the plus minus because sine is positive when 0 < x < pi/2.
Through similar calculations,
Cosine is also positive in this quadrant.
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So,

Therefore,

is an identity as long as 0 < x < pi/2
Answer:
H.A.=4
Step-by-step explanation:
If the bottom equation is factored, you get (x+1)(x-4)
If the V.A. is -1 ( gotten by putting [x+1] equal to zero I'm guessing) then the H.A. can be gotten by putting (x-4) equal to zero.
Also, I graphed it.
Answer:
25%
Step-by-step explanation:
This question is about conditional probability. Let's say that the probability of raining on Saturday is X=true and the probability of raining on Sunday is Y=true. There is a 15% it will rain on both Saturday and Sunday, to put into the equation it will be:
P(X= true ∩ Y = true) = P(X = true) * P(Y = true)= 0.15
There is a 60% chance of rain on Saturday, mean the equation is
P(X = true) = 0.6
The question is asking for the chance of rain on Sunday or P(Y = true). If we substitute the second equation to first, it will be:
P(X = true) * P(Y = true)= 0.15
0.6* P(Y = true)= 0.15
P(Y = true)= 0.15/0.6
P(Y = true)= 0.25 = 25%
Answer:
Step-by-step explanation:
2x - y = 8
<u> x + y = - 2 </u>
3x = 6
3x /3 = 6/3 Dividing bot sides by 3 to find x.
x = 2
Plug in the value of x to find y.
2 ( 2) - y = 8
4 - y = 8
-y = 8 - 4
- y = 4
y = -4
The solution: ( 2, -4)
5y-10=-25
5y=-25+10 addition property of equa
5y=-15 simplifying
Y=-15/5 dividing property
Y=-3