Answer:
83746+4747+48484=3943848343
Step-by-step explanation:
Easy
Answer:
- sin(2x) = -4/5
- cos(2x) = 3/5
- tan(2x) = -4/3
Step-by-step explanation:
It may be easiest to start with tan(2x).
tan(2x) = 2tan(x)/(1 -tan(x)²)
tan(2x) = 2(-1/2)/(1 -(-1/2)²) = -1/(3/4)
tan(2x) = -4/3 . . . . . still a 4th-quadrant angle
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Then cosine can be found from ...
cos(2x) = 1/√(tan(2x)² +1) = 1/√((-4/3)²+1) = √(9/25)
cos(2x) = 3/5
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Sine can be found from these two:
sin(2x) = cos(2x)tan(2x) = (3/5)(-4/3)
sin(2x) = -4/5
<span>y= 2x-4
y= -x+5
so
</span><span>2x-4 = -x+5
2x +x = 5 +4
3x = 9
x =3
y = 2x-4
y =2(3) - 4
y = 6-4
y = 2
answer: (3,2)</span>
Answer:
The iron weighed 1/12 pound more than the aluminum.
Step-by-step explanation:
The weight of the aluminum is given as 1/2 pound. But that can also be written as 6/12 pound.
This is a subtraction problem (subtracting fractions...so also a common denominator problem)
In order to subtract fractions you have to get a common denominator.
7/12 - 1/2
= 7/12 - 6/12
= 1/12
The iron is 1/12 pound heavier than the aluminum.
