Answer:27/343 or 0.0787172
Step-by-step explanation:
First you need to place the exponent on both the numerator and the demonimator to make 3 to the power of 3 over 7 to the power of 3
Next you evaluate the numerator so 3 to the power of 3 is 27
and 7 to the power of 3 is 343 so your answer in fraction form is 27/343
you can also change into a decimal if you divide the fraction if you need to
Hope this helps
A = 3 cubed = 27 cubic meters
B = 6 cubed = 216 cubic meters.
Cube B is 8 times larger than cube A.
5) it is a function because each x value only has one y value. Domain: (-infinity,infinity) range: [0,infinity)
6) it is a function. Domain: (-infinity, infinity) Range: [3,3]
7) it is a function. Domain: (-infinity, infinity) range: (-infinity, infinity)
8) it is a function. Domain: [0, infinity) range: [0, infinity)
Answer:
the angle between their paths is <em>100.8°</em>
Step-by-step explanation:
From the given information, you can construct a triangle, just like the one in the figure.
We will use the <em>Cosine Rule</em> which is:
c² = b² + a² - 2 b c cos(θ)
where
- c = 16 miles
- b = 8 miles
- a = 12 miles
Therefore,
2 b c cos(θ) = b² + a² - c²
cos(θ) = (b² + a² - c²) / 2 b c
θ = cos⁻¹( (b² + a² - c²) / (2 b c) )
θ = cos⁻¹( (8² + 12² - 16²) / 2(8)(16) )
<em>θ = 100.8°</em>
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Therefore, the angle between their paths is <em>100.8°</em>
Percent<span> simply means "per hundred" and the symbol used </span>to<span> express </span>percentage<span> is %. One </span>percent<span> (or 1%) is one hundredth of the total or whole and is therefore</span>calculated<span> by dividing the total or whole number by 100. </span>To calculate<span> the </span>percentage<span>difference between two numbers, the same basic calculations are used</span>
