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2 answers:
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Option D: 3.47*10^-7 is the correct answer
Step-by-step explanation:
In order to determine the number written in standard scientific notation, first of all we have to understand how the scientific numbers are written
the scientific numbers are written in the form of:
Here
a is a number between 1 and 10 while the value of n can be only integer (positive or negative)
so,
In the given options:
Option A has a number larger than 10 in place of a so it is not in standard notation
Option B has a number less than 1 in place of a so it is also not in standard notation
Option C has a number larger than 10 in place of a so it is not in standard notation
Option D is in standard scientific notation as 1<3.47<10 and the power of 10 is integer
Hence,
Option D: 3.47*10^-7 is the correct answer
Keywords: Scientific notation, exponents
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Answer:
<u>Step-by-step explanation:</u>
It is given that θ is between 270° and 360°, which means that θ is located in Quadrant IV ⇒ (x > 0, y < 0). Furthermore, the half-angle will be between 135° and 180°, which means the half-angle is in Quadrant II ⇒
It is given that sin θ = ⇒ y = -7 & hyp = 25
Use Pythagorean Theorem to find "x":
x² + y² = hyp²
x² + (-7)² = 25²
x² + 49 = 625
x² = 576
x = 24
Use the "x" and "hyp" values to find cos θ:
Lastly, input cos θ into the half angle formula:
Reminder: We previously determined that the half-angle will be negative.
Answer:
Step-by-step explanation:
