Answer:
180 degrees
Step-by-step explanation:
Given
Required
The measure of the major arc, 30 minutes after
First, we calculate the time after 30 minutes
At 5:30pm, the hour and the minute hand will be directly opposite each other.
In other words, the hands divide the time into two equal parts (180 degrees each)
At this point, there is no major or minor arc as both sides have the same measurement
<em>Hence, the measure of the arcs is 180 degrees</em>
Answer:
x = 2.13 × 10^11
Approximately 2.13 × 10^11 mails were processed in 2006
Completed question;
There were approximately 1.6 * 10^11 pieces of mall processed by the United States Postal
Service in 2012. This is about 75% of the number of pieces of mail processed in 2006.
Approximately how many pieces of mail were processed by the United States Postal Service in
2006
Step-by-step explanation:
Let x represent the number of mails processed in year 2006
Given;
Number of mails processed in 2012 N = 1.6 × 10^11
Number of mails processed in 2012 N is about 75% of the number of pieces of mail processed in 2006.
So;
N = 75% of x
N = 0.75x
x = N/0.75
x = (1.6 × 10^11)/0.75
x = 2.13 × 10^11
Approximately 2.13 × 10^11 mails were processed in 2006
Both systems will have the same value of x's.
If <em>x</em> + 1 is a factor of <em>p(x)</em> = <em>x</em>³ + <em>k</em> <em>x</em>² + <em>x</em> + 6, then by the remainder theorem, we have
<em>p</em> (-1) = (-1)³ + <em>k</em> (-1)² + (-1) + 6 = 0 → <em>k</em> = -4
So we have
<em>p(x)</em> = <em>x</em>³ - 4<em>x</em>² + <em>x</em> + 6
Dividing <em>p(x)</em> by <em>x</em> + 1 (using whatever method you prefer) gives
<em>p(x)</em> / (<em>x</em> + 1) = <em>x</em>² - 5<em>x</em> + 6
Synthetic division, for instance, might go like this:
-1 | 1 -4 1 6
... | -1 5 -6
----------------------------
... | 1 -5 6 0
Next, we have
<em>x</em>² - 5<em>x</em> + 6 = (<em>x</em> - 3) (<em>x</em> - 2)
so that, in addition to <em>x</em> = -1, the other two zeros of <em>p(x)</em> are <em>x</em> = 3 and <em>x</em> = 2
Answer:
30 miles
Step-by-step explanation:
average= sum of miles ÷ days to cover = 30
HOPE IT HELPS
