Express the area of the entire rectangle. Your answer should be a polynomial in standard form.
1 answer:
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Answer:
Step-by-step explanation:
If the first floor of the Willis Tower is 21 feet high. and each additional floor is 12 feet high, then the floor heights as we move from one floor to another we keep increasing by 12feets and forms an arithmetic progression as shown;
21, (21+12), (21+12+12), ...
<em>21, 33, 45...</em>
a) To write an equation for the nth floor of the tower, we will have to find the nth term of the sequence using the formula for finding the nth term of an arithmetic sequence.
The nth term of an arithmetic sequence is expressed as
a is the first term = 21
d is the common difference = 33-21 = 45-33 = 12
n is the number of terms
Substituting the given parameters into the formula;
<em>Hence the equation for the nth floor of the tower is expressed as </em><em></em>
<em></em>
b) To get the height of the 65th floor, we will substitute n = 65 into the formula arrived at in (a)
<em>Hence the height of the 65th floor is 789feets.</em>
Answer:
3515
Step-by-step explanation:
Data provided in the question:
Dimension of the container = 1.5 m x 18 cm x 28 cm
volume of the container = 150 cm × 18 cm × 28 cm = 75600 cm³
also,
1 L = 1000 cm³
thus,
volume of the container = = 75.6 L
Volume of the U.S pint = 0.4732 L
therefore,
Number of pint in the container =
=
= 159.76
Also it is given that
Number of Pacific oysters per pint = 10
Number of Atlantic oysters per pint = 32
Thus,
for 159.76 pint
Pacific oysters in container = 10 × 159.76 = 1597.6 ≈ 1598
Atlantic oysters in the container = 32 × 159.76 = 5112.42 ≈ 5113
hence,
order short of your anticipated count = 5113 - 1598 = 3515