The <em><u>correct answer</u></em> is:
$54.75.
Explanation:
We only receive the discount if the majority of our usage occurs between 7 pm to 9 am. However, in the month of March we used 450 KWH between these hours and 465 KWH between 9 am to 7 pm; this means we lose our discount.
The rate per KWH is $0.05432; this means we pay
450(0.05432) = 24.444 for the hours of 7 pm to 9 am.
We also pay $0.05432/kwh for the hours of 9 am to 7 pm, but we have an additional 20% premium for the usage between these hours; this means we pay
465(0.05432)(1.2) = 30.31056, for a total of
24.444+30.31056 = 54.75456 ≈ 54.75
(9)
<em>x</em> ° = 1/2 (130° - 30°) = 50°
(due to a theorem about intersecting secants/tangents)
(11) The labeled angle subtends a minor arc of meaure 120°, which means the larger arc has a measure of 360° - 120° = 240°. Then
<em>x</em> ° = 1/2 (240° - 120°) = 60°
(due to the same theorem)
(13) The labeling here is a bit confusing. I'm not sure what the 70° is referring to. It occurs to me that it might be info from a different exercise, so that <em>y </em>° is the measure of the angle made by the tangent to the circle with a vertex of the pentagon, and <em>x</em> ° is the measure of each arc that passes over an edge of the pentagon.
Each arc makes up 1/5 of the circle's circumferece, so
<em>x</em> ° = 360°/5 = 72°
The pentagon is regular, so each of its interior angles have the same measure of 108°. (Why 108°? Each exterior angle measures 360°/5 = 72°, since the exterior angles sum to 360°. Interior and exterior angles are supplementary, so the interior angles measure 180° - 72° = 108° each.)
The angles formed by the tangent to the circle are supplementary, so that
<em>y</em> ° + 108° + <em>y</em> ° = 180°
2<em>y</em> ° = 72°
<em>y</em> ° = 36°
Hey There!
win 10 lose 12
win 15 lose 18
5×2=10, 6×2=12
5×3=15, 6×3=18
Hope This Helps!!!
Yeah ur right that is the answer
Answer:
Step-by-step explanation:
Notice that with the provided information they are given you not ust the slope of the line (-2), but also the y-intercept (the point where the line crosses the y-axis which happens when x=0).
So you can directly write the equation of the line in slope-intercept form [
where "m" is the slope and "b" the y-value when x=0].
Such gives us:
