A students cost for last semester was 2000 dollars. She spent 200 dollars of it on that on the books. What percent of college co
2 answers:
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Answer:
The area of the sector is
Step-by-step explanation:
step 1
Find the area of complete circle
we have
substitute
step 2
Find the area of the sector
we know that
The area of complete circle subtends a central angle of 2π radians
so
using proportion
Find out the area of a sector by a central angle of 1/9 pi radians
The general rule is that if |x| < k, for some positive number k, then we can break that down into the compound inequality -k < x < k
In this case, k = 3 so if |x| < 3 then -3 < x < 3
To graph -3 < x < 3, we do the following:
Step 1) Draw out a number line. Make sure that key values -3 and 3 are present (along with others such as 0)
Step 2) Place open circles or holes at -3 and 3 on the graph.
Step 3) Shade between the two open circles
Following those steps and you'll get what you see attached, which is the first graph you posted (first on the left)
---------------------------------------------------------------
Side Note: Saying |x| < 3 means that the distance x is from zero, |x|, is less than 3 units. So anything within a 3 unit radius, so to speak, of 0 will be the solution set. We are NOT including the endpoints -3 or 3. This is shown through the use of open circles. They are gaps in the solution set.
If you want the answer in interval notation, then you would write (-3,3)
Which unfortunately looks identical to ordered pair notation, but its not. Instead it means we have an interval from -3 to 3. The parenthesis tell us to exclude the endpoints.
In this case, k = 3 so if |x| < 3 then -3 < x < 3
To graph -3 < x < 3, we do the following:
Step 1) Draw out a number line. Make sure that key values -3 and 3 are present (along with others such as 0)
Step 2) Place open circles or holes at -3 and 3 on the graph.
Step 3) Shade between the two open circles
Following those steps and you'll get what you see attached, which is the first graph you posted (first on the left)
---------------------------------------------------------------
Side Note: Saying |x| < 3 means that the distance x is from zero, |x|, is less than 3 units. So anything within a 3 unit radius, so to speak, of 0 will be the solution set. We are NOT including the endpoints -3 or 3. This is shown through the use of open circles. They are gaps in the solution set.
If you want the answer in interval notation, then you would write (-3,3)
Which unfortunately looks identical to ordered pair notation, but its not. Instead it means we have an interval from -3 to 3. The parenthesis tell us to exclude the endpoints.