What values must x have so that log (x) is greater than 2? justify your answer
1 answer:
Answer:
The value of x must be greater than 100.
Step-by-step explanation:
We need to find the value x for which the value of log(x) is greater than than 2.
According to the property of logarithm, if a is a real number.
Using the above property of logarithm, the given inequality can be rewritten as
We conclude that the value of log(x) is greater than 2 for real values of x which are greater than 100.
Therefore, the value of x must be greater than 100.
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Answer:
69.81 sq. m. (rounded to 2 decimal places)
Step-by-step explanation:
The sector of a circle is "part" or "portion" of a circle. The formula for the area of a sector is:
Where
is the central angle
r is the radius
Given the figure, the arc is given as 80 degrees, but not the central angle of the shaded sector. But from geometry we know that the central angle and the intercepted arc have the same measure. So we can say:
Also, the radius of the circle shown is 10 meters, so
r = 10
Now, we substitute in formula and find our answer:
Thus,
The area of the shaded sector is 69.81 sq. meters.