Answers:
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Explanation:
Recall that tangent is the ratio of opposite over adjacent
tan(angle) = opposite/adjacent
So for reference angle G, we say,
tan(G) = JH/GJ = 2/1 = 2
We'll treat tan(H) in a similar fashion, but the opposite and adjacent sides swap roles. That means we'll apply the reciprocal to the result above to get 1/2 for tan(H)
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So we have this interesting property where
tan(G)*tan(H) = 2*(1/2) = 1
In general,
tan(A)*tan(B) = 1 if and only if A+B = 90 degrees
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Side note: The side sqrt(5) isn't used at all.
Answer:
9.8x + 1.1y + 9.9z
Step-by-step explanation:
⇒ 5.5x + 6.2y + 4.3x + 8.3z + 1.6z - 5.1y
⇒ 9.8x + 1.1y + 9.9z
The formula is
A=p e^rt
A future value 1649
P present value 100
R interest rate?
T time 10 years
E constant
Solve the formula for r
R=[log (A/p)÷log (e)]÷t
R=(log(1,649÷100)÷log(e))÷10
R=0.28×100
R=28%
Answer:
x=1 y=19
Step-by-step explanation:
Let's solve your system by elimination.
−9x+y=10; 10x−y=−9
−9x+y=10
10x−y=−9
Add these equations to eliminate y:
x=1
Then solve x=1 for x:
x=1
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
−9x+y=10
Substitute1forxin−9x+y=10:
(−9)(1)+y=10
y−9=10(Simplify both sides of the equation)
y−9+9=10+9(Add 9 to both sides)
y=19
Hope this helps, I don't really get the answer choices though....
Answer:
D. Events E and B are independent.
Step-by-step explanation:
