Hector got 12 out of 20 words right in a spelling test what percentage did he get wrong
2 answers:
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Answer:
It costs $42.43
Step-by-step explanation:
Lets explain how to solve the problem
- The cost of kilogram of candy is $7.5
- We need to find the cost of kilogram
We can use the ratio to find the answer
======= Dollar : Kilogram
======= 7.5 :
======= c :
By using cross multiplication
∴ c × = 7.5 ×
∵ =
∴ =
∴ c × = 7.5 ×
∴ c × =
Divide both sides by
∴ c = ÷
Change the division sign to multiplication sign and reciprocal the
fraction after the division sign
∴ c = ×
∴ c = = 42.43 dollars
∵ c represents the cost of kg
∴ It costs $42.43
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