9a- 24 >48 what is the solution
2 answers:
Answer:
a > 8
Step-by-step explanation:
To solve this inequality, we have to get the variable, <em>a, </em>by itself on one side of the equation
24 is being subtracted from 9a. The inverse of subtraction is addition. Add 24 to both sides of the equation.
a is being multiplied by 9. The inverse of multiplication is division. Divide both sides of the equation by 9.
The solution to this inequality is a > 8
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Answer:
23 degrees
Step-by-step explanation:
If <ADC is the arc measure of the circle, by definition the center angle (<ABC) has the same measure as its intercepted arc.
The two parabolas intersect for
and so the base of each solid is the set
The side length of each cross section that coincides with B is equal to the vertical distance between the two parabolas, . But since -2 ≤ x ≤ 2, this reduces to
.
a. Square cross sections will contribute a volume of
where ∆x is the thickness of the section. Then the volume would be
where we take advantage of symmetry in the first line.
b. For a semicircle, the side length we found earlier corresponds to diameter. Each semicircular cross section will contribute a volume of
We end up with the same integral as before except for the leading constant:
Using the result of part (a), the volume is
c. An equilateral triangle with side length s has area √3/4 s², hence the volume of a given section is
and using the result of part (a) again, the volume is