Answer:
case A.
case B.
case E.
Step-by-step explanation:
we have
we know that
<u>Verify each case</u>
case A)
therefore
is equivalent to
case B)
so
is equivalent to
case C)
therefore
is not equivalent to
case D)
so
is not equivalent to
case E)
therefore
is equivalent to
case F)
so
is not equivalent to
48. The surface area of a cylinder is given by
... A = 2πr² + 2πrh = 2πr(r+h)
For r = 13 mi and h = 7 mi, this becomes
... A = 2π(13 mi)(13 mi + 7 mi) = 520π mi²
The surface area of the cylinder is 520π mi² ≈ 1634 mi².
49. The surface area of a rectangular prism is
... A = 2(LW + H(L+W))
For L = 20 m, W = 10 m, H = 7 m, this becomes
... A = 2((20 m)(10 m) + (7 m)(20 m + 10 m)) = 2(200 m² + 210 m²) = 820 m²
The surface area of the prism is 820 m².
50. The formula is the same as for problem 48.
For r = 10 m and h = 13 m, this becomes
... A = 2π(10 m)(10 m + 13 m) = 460π m² ≈ 1445 m²
The surface area of the cylinder is 460π m² ≈ 1445 m².
_____
When calculations are repetitive, it is convenient to let a calculator or spreadsheet do them.
Answer:
67/5 = 13 2/5
Step-by-step explanation:
Step 1: <u>Define/explain.</u>
An easier way to solve this is by changing the mixed fractions to improper fractions.
To do this, multiply the whole number by the denominator, then add the product to the numerator; the denominator remains the same.
Mixed fraction - a fraction with a whole number.
Improper fraction - a fraction with a numerator larger than the denominator.
Step 2: <u>Solve.</u>
From here, add as usual.
Step 3: <u>Conclude.</u>
You can change the improper fraction to a mixed fraction if you'd like.
To do this, divide the numerator by the denominator.
The amount of times the numerator evenly goes into the denominator is the whole number.
The amount of remaining numbers in the denominator.
The numerator remains the same.
I, therefore, believe the answer to this is 13 2/5.