Answer:
Sin (E) = √74/(2√23)
Step-by-step explanation:
Reference Angle = E
Hypotenuse = 2√23
Adjacent = 3√2
Opposite = DC = √(2√23)² - (3√2)²) = √(4*23 - 9*2) = √(92 - 18) = √74 (pythagorean theorem)
Recall SOHCAHTOA.
Thus,
Sin (E) = opp/hyp
Sin (E) = √74/(2√23)
Answer:
$176.3193692 or $176.32 (rounded to two decimal places)
Step-by-step explanation:
It is a compound interest, which means the interest accumulates on an initial amount each period.
The formula is A=P(1+R)^n
A= the total amount P=initial amount R=rate n=time (years)
P=$120 Rate= 8% or 0.08 (decimal) n=5 (years)
A=120 (1+0.08)^2
A=120 (1.469328077)
A= 176.3193692
Answer:
it must also have the root : - 6i
Step-by-step explanation:
If a polynomial is expressed with real coefficients (which must be the case if it is a function f(x) in the Real coordinate system), then if it has a complex root "a+bi", it must also have for root the conjugate of that complex root.
This is because in order to render a polynomial with Real coefficients, the binomial factor (x - (a+bi)) originated using the complex root would be able to eliminate the imaginary unit, only when multiplied by the binomial factor generated by its conjugate: (x - (a-bi)). This is shown below:
where the imaginary unit has disappeared, making the expression real.
So in our case, a+bi is -6i (real part a=0, and imaginary part b=-6)
Then, the conjugate of this root would be: +6i, giving us the other complex root that also may be present in the real polynomial we are dealing with.
Answer:
You can put them on a scale and compare them. Or you can figure out the weight of one individually. A ton of pillows won't suddenly increase in weight compared to the bowling balls.
Step-by-step explanation:
MARK BRAINLEIST
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