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Step-by-step explanation:
Answer:
230 - 151 + 180 + (43 - 12) = 290
Step-by-step explanation:
Use PEMDAS.
Evaluate the expression in the parentheses:
230 - 151 + 180 + (43 - 12)
43 - 12 = 31
230 - 151 + 180 + 31
Add and Subtract From Left to Right:
230 - 151 + 180 + 31
79 + 180 + 31
259 + 31
290
<em>None of the given options are correct. </em>
Answer:
x = 2.8
Step-by-step explanation:
17x+1+20x-14 = 90
Combine like terms.
37x-13 = 90
Add 13 on both sides.
37x-13 = 90
<u>+13 +13</u>
37x = 103
Divide both sides by 37.
37x = 103
<u>/37 /37</u>
x = 2.8
(I rounded up, but if you need a more specific number, just search up 103 divided by 37.)
Hopefully this helps you!! Have an amazing day c:
Since there are 22 participants all in all. The possible combinations of the two picked for practice first is,
22C2 = 231
The probability of picking one from each gender will be solved through the calculation below.
(10C1)x(12C1) / 231 = 40/77
In percentage, the answer would be approximately 52%. Thus, the answer is the first choice.
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
