Write the following decimals as fractions in simplest form
2 answers:
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Answer:
The answer is
Step-by-step explanation:
when writing scientific notation, there must be one number to the left of the decimal point.
To achieve this in this problem, you need to move the decimal point 3 times to the right.
because you are moving the point to the right, the exponent will be negative.
*rule of thumb: moving the decimal to the left will give you a positive exponent, moving to the right will give you a negative exponent*
therefore you answer should be written as:
hope this helps :)
<h3>Answer: Choice B</h3>
Explanation:
Cosine is positive in quadrants I and IV, but quadrant IV isn't shaded in so we can rule out choice A.
Sine is positive in quadrants I and II. So far it looks like choice B could work. In fact, it's the answer because sin(pi/6) = 1/2 and sin(5pi/6) = 1/2. So if 0 ≤ sin(x) < 1/2, then we'd shade the region between theta = 0 and theta = pi/6; as well as the region from theta = 5pi/6 to theta = pi.
Choice C is ruled out because tangent is positive in quadrants I and III, but quadrant III isn't shaded.
Choice D is ruled out for similar reasoning as choice A. Recall that
Answer:
Step-by-step explanation:
we know that
An <u><em>equilateral triangle</em></u> has three equal sides and three equal interior angles (each interior angle measure 60 degrees)
so
The perimeter is equal to
where
b is the length side of the equilateral triangle
we have
substitute
solve for b
Find the area
The formula of area applying the law of sines is equal to
substitute the value of b