Answer:
- <u>Surface Area = 399.4 m²</u>
- <u>Volume = 1675.5 m³</u>
Step-by-step explanation:
<u>Lateral Surface Area of the Cylindrical Part</u>
- 2πrh
- 2 x π x 5 x 8
- 80 x π
- 251.3 m²
<u>Slant height of cone</u>
- √r² + h²
- √25 + 64
- √89
- 9.43 m
<u>Surface Area of Conical Portion</u>
- πrl
- π x 5 x 9.43
- 47.15 x π
- 148.1 m²
<u>Total Surface Area</u> :
- 251.3 + 148.1
- <u>399.4 m²</u>
<u></u>
<u>Volume</u>
- V = πr²h + 1/3πr²h
- V = πr²h (1 + 1/3)
- V = π x 25 x 8 x (4/3)
- V = π x 1600/3
- V = <u>1675.5 m³</u>
Answer:
The answer is "was the first time the Constitution defined what a citizen is"
does this help?
Answer:
The partial fraction decomposition is .
Step-by-step explanation:
Partial-fraction decomposition is the process of starting with the simplified answer and taking it back apart, of "decomposing" the final expression into its initial polynomial fractions.
To find the partial fraction decomposition of :
First, the form of the partial fraction decomposition is
Write the right-hand side as a single fraction:
The denominators are equal, so we require the equality of the numerators:
Expand the right-hand side:
The coefficients near the like terms should be equal, so the following system is obtained:
Solving this system, we get that .
Therefore,
This is a number belonging to the set of Rational Numbers.
Examples are 2/3 . -4/9 and 8.
"Increasing" and "decreasing" are references to what the y-values do when the x-values increase.
Attached is a copy of all four tables, marked with whether the y-values increased or decreased on each step (and it also shows how much that increase or decrease was.
The only table that does this is the top right table in the attachment, which is your second table.