The hours of daylight,y, in Utica in days, x, from January 1, 2013 can be modeled by the equation y=3.06sin(0.017x-1.40) + 12.23
2 answers:
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The correct answer is 
°.
To solve for
, you can start by finding the measures of the triangle's interior angles. Knowing that a straight line measures 
°, you can subtract the given values from ° to find the measures of the respective supplementary interior angles. That would give you 
° 
and 
° 
.
Now, knowing that the measure of all the interior angles of a triangle is also°, you can add the two interior angles you know 
and subtract those from °. Doing so would give you the measure of the missing third angle, which is 
°.
Finally, because angle is the supplementary angle of the missing angle from the previous step, simply subtract that angle's measure from ° to find °, which is 
or °.
To solve for
Now, knowing that the measure of all the interior angles of a triangle is also
Finally, because angle
The equation of the line that is parallel to the given line and passes through the point (-2,2) is:
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
When two lines are parallel, they have the same slope. In this problem, the given line passes through (-5,-4) and (0,-3), hence the slope is:
m = (-3 - (-4))/(0 - (-5)) = 1/5.
Hence the equation is:
When x = -2, y = 2, then:
Hence:
More can be learned about linear equations at brainly.com/question/24808124
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