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
Answer:
Step-by-step explanation:
(6 - 0)/(2 - 4)= 6/-2 = -3
y - 0 = -3(x - 4)
y = -3(x - 4)
answer is C
Answer:
P = (13h+k+6m) cm
Step-by-step explanation:
Given that,
The side lengths of a triangle are :
(4h + 2k) cm, (9h + 4m) cm, and (2m - k) cm
We need to find the perimeter of the triangle.
We know that,
Perimeter = sum of all sides
So,
P = (4h + 2k)+(9h + 4m)+(2m - k)
= (4h+9h)+(2k-k)+(4m+2m)
= 13h+k+6m
Hence, the perimeter of the triangle is (13h+k+6m) cm.
First, convert the 20% to a real mathematical number. For percents, this is always done by dividing the 20% by 100%, or 20% / 100% = 0.200.
Second, find out what 20% of $600.25 is. This is the amount of the sale discount. This is always found by mulitplying 0.200 by the item's cost $600.25, like this:
0.200 x $600.25 = $120.05.
So for this sale, you'll save $120.05 on this item.
This means, the cost of the item to you is
$600.25 - $120.05 = $480.20.
Alternatively, you can think about it this way. The item is 20% off. This means you'll pay 80.000% of the total cost (100% - 20% = 80.000%).
Now what's 80.000% of the total cost?
0.800 x $600.25 = $480.20.
Just like the result above, the sale price on the item is $480.20.
Hope this helps you on your assignment! :)
