The rate would be 40 questions per hour
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>
Answer:

Step-by-step explanation:
Notice when x increases 1, y is 4 times the previous one, so
the function is like 
To determine the constant C, put any pair of (x, y)
Use x = 0, y = 0.2, so
0.2 =
= C * 1 = C
then 
Answer: 72
Step-by-step explanation:
First plug in 7 for x
5(14)
Then multiply
70
Next plug 2 in for y
2(1)
Multiply
2
Lastly, add 70 and 2 together.
72.
Hope this helps.