Answer:
r represents the rate the electric company charges per kilowatt-hour.
Step-by-step explanation:
r represents the rate the electric company charges per kilowatt-hour.
Total charged to Zhao was 63.25 out of which 3.50 is administrative charge (fixed).
- Total charge consists of "administrative charge" + "charge per kilowatt hours*hours used
- The equation is given as 63.24 = 3.5 + 800r
<u>Matching the "word equation" with "mathematical equation", we see that 800 is the hours used and r is the charge per kilowatt hour.</u>
Perimeter of quadrilateral ANCM = AN+NC+CM+MA
CM=AM = x in
Therefore, AN=NC = x in
In other words, all sides of the new quadrilateral are equal.
Perimeter (P) = 4x in
Now, Cos 45 = (x-6)/x =>0.7041 = (x-6)/x => 0.7041x=x-6 =>x= 6/(1-0.70741)
x= 20.5 in
Therefore, P=4*20.5 = 82 in
The equation of a circle:
(h, k) - center
r - radius
Look at the picture:
center: (4, -2) → h = 4, k = -2
radius: r= 5
Substitute:
9514 1404 393
Answer:
a) average rate = (total distance)/(total time)
b) Rave = 2·R1·R2/(R1 +R2)
c) cheetah's average rate ≈ 50.91 mph
Step-by-step explanation:
a) Let AB represent the distance from A to B. Let t1 and t2 represent the travel times (in hours) on leg1 and leg2 of the trip, respectively. Then the distances traveled are...
First leg distance: AB = 70·t1 ⇒ t1 = AB/70
Second leg distance: AB = 40·t2 ⇒ t2 = AB/40
The average rate is the ratio of total distance to total time:
average rate = (AB +AB)/(t1 +t2)
average rate = 2AB/(AB/70 +AB/40) = 2/(1/70 +1/40) = 2(40)(70)/(70+40)
average rate = 560/11 = 50 10/11 . . . mph
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No equations are given, so we cannot compare what we wrote with the given equations. In each step of the solution, we have used the rules of algebra and equality.
b) For two rates over the same distance (as above), the average is their harmonic mean:
average rate = 2r1·r2/(r1+r2)
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c) The cheetah's average rate was 50 10/11 mph ≈ 50.91 mph.
Answer:
C. 82.43
Step-by-step explanation:
acb's angle is 315 degrees because
360 - 45 = 315
arc length is in radians
arc length is radius times (angle times (pi÷180))
arc length is 15 times (315 times (pi÷180))
arc length is 82.43
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