Answer:
Because of the range of the sine function.
Step-by-step explanation:
The reason why the value of the sine ratio for an acute angle
of a right triangle must always be a positive value less
than 1 has to do with the the range of the sine function.
The range of the sine function is

But in the first quadrant all y-values are positive and acute angles are less than 90°.
Therefore the range will now be 0≤y<1 for acute angles.
Step-by-step explanation:
for this we need to know the conversion rate between miles and kilometers :
1 mile = 1.60934 km
which means
1 km = 0.621371 miles
so,
70 m/h = 70×1.60934 km/h = 112.6538 km/h
compared to the 120 km/h limit in Canada, it is clear that the speed limit in Canada is higher.
the difference is
7.3462 km/h = 7.3462×0.621371 = 4.56471564 m/h
Considering that 160,000 is the y-intercept of the function, it's significance is given by:
the initial population at the time of the estimation.
<h3>What is the y-intercept of a function f(x)?</h3>
The y-intercept is f(0), that is, the value of y when x = 0, which is interpreted as the initial value of the function.
Researching this problem on the internet, it is found that f(0) = 160,000, hence the significance of 160,000 in the function is given by:
the initial population at the time of the estimation.
More can be learned about the y-intercept of a function at brainly.com/question/27979095
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Answer:
A: (-8, -1)
B: (2, -1)
C: (2, 5)
D: (-6, 5)
Step-by-step explanation:
If the trapezoid ABCD was able to translate 3 units to the left, we'll only need to calculate for all the input values!
Trapezoid in present:
A - -5
B - 5
C - 5
D - -3
Now move the units to the left!
Trapezoid in the future:
A - -8
B - 2
C - 2
D - -6
Then add the y values into the units
A: (-8, -1)
B: (2, -1)
C: (2, 5)
D: (-6, 5)
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Answer:
-2.6
Step-by-step explanation:
5x - 5 >/ - 18
5x >/ -13
x>/ -13/5
x>/ -2.6