1 + 3i, - sqrt 10 would be the other two answers
Answer:
less than 1 1/2 gallons
Step-by-step explanation:
1/3 + 1/6 = 1/2, so the sum of the three cans is more than 1 by the difference between 1/5 and 1/6. That difference is 1/30 gallon. The sum is 1 1/30 gallons, which is less than 1 1/2 gallons.
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A suitable common denominator is 2·3·5 = 30. Then the sum of the fractions is ...
1/3 + 1/5 + 1/2
= 10/30 + 6/30 + 15/30
= 31/30 = 1 1/30 . . . . . less than 1 1/2
In decimal, 1/3 ≈ 0.333, 1/5 = 0.200, 1/2 = 0.500, so the sum is ...
0.333 +0.200 +0.500 = 1.033
which is less than 1.5.
Answer:
x = -1
Step-by-step explanation:
8-2x=-8x+14
8-14=-8x+2x
-6/-6=x
x=-1
Given :
Let sin(45°)=0.7071.
To Find :
The angle measure (μ), in degrees for cos(μ)=−0.7071 and value equivalent to 360n + , where n is an integer .
Solution :
We know , value of sin x and cos x is same at x = 45° .
Now , cos (-x) = cos(90°+x)
Therefore , μ in given question is :
μ =90°+45°
μ=135°
So , for angle of type 360°n + :
μ = 360°n + 135° .
Hence , this is the required solution .
