Ast year, 3,120 students competed in a statewide athletic competition. If each participating school district sent 26 students to
2 answers:
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Answer:
FIRST EXPRESSION:
- If , the value of
is
- If , the value of
is
- If , the value of
is
SECOND EXPRESSION:
- If , the value of
is
- If , the value of
is
- If , the value of
is
Yes, for any value of "b" the value of the first expression is greater than the value of the second expression.
Step-by-step explanation:
Substitute the given values of "b" into each expression and evaluate.
- For the first expression , you get:
If →
If →
If →
- For the second expression , you get:
If →
If →
If →
You can observe that for any value of "b" the value of the first expression is greater than the value of the second expression.
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Find the central angle using a ratio in regards to angle and circumference.
The radius is 27 units, so use the following equation to calculate circumference:
C = 2rπ
Therefore:
C = 2(27)π = 54π
Since we have the total circumference, we can write the following proportion:
Cross multiply:
54πx = 6480π
Divide both sides by 54π to isolate for x:
x = 120°