Answer:
Its 40 degrees
Step-by-step explanation:
60+80=140
180-140=40 (a straight line is always 180 degrees)
Hope it helped
Answer:
c. 2.4 yards
Step-by-step explanation:
If x is the width of the walkway, then the total landscape area is ...
(4.5 +x)(7.5 +x) = 68.31
This quadratic equation can be rearranged to standard form and solved in any of the usual ways.
(x +4.5)(x +7.5) -68.31 = 0
x² +12x -34.56 = 0
Using the quadratic formula, we have ...
x = (-12 ±√(12² -4(1)(-34.56)))/2 = -6 ± √70.56 = -6 ± 8.4
The positive solution is x = 2.4.
The width of the walkway is 2.4 yards.
_____
A graphing calculator or spreadsheet solver can also find the solution for you.
Answer:
Z - score = 2.83
Step-by-step explanation:
Given the following :
Number of samples (N) = 60
Sample mean (x) = 41.9mg
Population mean (μ) = 40mg
Population standard deviation (sd) = 5.2
Using the relation :
Z = (x - μ) / (sd / √N)
Z = (41.9 - 40) / (5.2 / √60)
Z = 1.9 / (5.2 / 7.7459666)
Z = 1.9 / 0.6713171
Z = 2.8302570
Therefore, the z-score = 2.83
Answer:
36.50$
Step-by-step explanation:
The power of the light bulb in this problem is
P = 100 W = 0.1 kW
And the light bulb is operated for a time of
t = 10 hours
per day.
The light bulb is operated over 1 year (365 days), so the number of hours of operation is:

So the total energy consumed by the light bulb is

We know that the cost of operation is
p = 10 cents/kWh
Therefore, the total cost will be:

So, 3650 cents, or 36.50$.