Answer:
160
Step-by-step explanation:
The measure of an arc is always twice the degree of the corresponding angle inside the circle. For example, the measure of arc DC is just double the measure of angle DOC; angle DOC is 44 degrees, so arc DC must be 88 degrees.
Angle COB is 80 degrees, so arc CB is 160 degrees.
The function you seek to minimize is
()=3‾√4(3)2+(13−4)2
f
(
x
)
=
3
4
(
x
3
)
2
+
(
13
−
x
4
)
2
Then
′()=3‾√18−13−8=(3‾√18+18)−138
f
′
(
x
)
=
3
x
18
−
13
−
x
8
=
(
3
18
+
1
8
)
x
−
13
8
Note that ″()>0
f
″
(
x
)
>
0
so that the critical point at ′()=0
f
′
(
x
)
=
0
will be a minimum. The critical point is at
=1179+43‾√≈7.345m
x
=
117
9
+
4
3
≈
7.345
m
So that the amount used for the square will be 13−
13
−
x
, or
13−=524+33‾√≈5.655m
Answer:
1. The amount of time you keep your porch light on.
2. The temperature you keep your air conditioner at.
Step-by-step explanation:
<u>Porch Light Time Example: </u>
The light does not turn on or off based on the bill, thus its independent, but the bill is effected by the amount of time the light is on thus dependent.
You keep your porch light on for 24 hours a day for 1 month, that month your electricity bill is $50.
Next month you keep your porch light on for 12 hours a day and your electricity bill is $40.
<u>Air Conditioner Temp Example: </u>
The thermostat temperature is not effected by the bill, thus its independent, but the bill is effected by the thermostat, thus dependent.
You set your thermostat to 70 degrees for 1 month, that month your electricity bill is $50.
Next month you set your thermostat to 75 degrees for 1 month, that month your electricity bill is $40.
Since there are 6 possibilities, the probability of rolling either an X or V is:
2/6 or simplified 1/3 So, B. 1/3 is the correct answer!
Answer:D
Step-by-step explanation:
This is D because your dividing by 5 or each one and thats how you get Your output number