Answer:
5 2/3
Step-by-step explanation:
So because it is a mixed number that means you want to have a whole plus a fraction. You keep the 5 as the whole and because 2/3=.666666. You add them together making 5 2/3.
Answer:
3
Step-by-step explanation:
<span>He has failed to consider the number 0, which is a whole number but not a natural number.</span>
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:
the graph that best corresponds to the function in the given interval is the down left graph.
Step-by-step explanation:
Given : f(x)= [x]-3 and graph .
To find : Which graph represents the function on the interval [-3 , 3] ?
Solution : Let's evaluate the extremes of the interval in given function f(x).
X= -3, f( -3 )= [ -3 ] - 3 .
f( -3 ) = -6 .
X= 3, f( 3 )= [ 3 ] - 3 .
f( 3 ) = 0.
Therefore, the graph that best corresponds to the function in the given interval is the down left graph.
