The Consumer Price Index is calculated through the equation,
CPI = (current period price/base period price) x 100
The base period is 1983. Solving the CPIs for 2000 and 2005
(2000)
CPI = ($28.94/$16.35) x 100 = 177
(2005)
CPI = ($32.54/$16.35) x 100 = 199
The difference between the CPIs of 2005 and 2000 is 199 - 177 = 22.
A sequence of transformations maps ABC to AA'B'C. The sequence of transformations that maps A’B’C’ is
- A (4,-4)
- B (2, -8); and
- C (6, -6)
followed by
- A' (-2, 4)
- B' (-2, 2)
- C' (0, 6).
<h3>What is Transformation?</h3>
A transformation is a broad phrase that encompasses four distinct methods for changing the shape and/or position of a point, a line, or a geometric figure.
Hence, the sequence of transformations maps ABC to AA'B'C. The sequence of transformations that maps A’B’C’ is
- A (4,-4)
- B (2, -8); and
- C (6, -6)
followed by
- A' (-2, 4)
- B' (-2, 2)
- C' (0, 6).
Learn more about transformation at:
brainly.com/question/2689696
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9514 1404 393
Answer:
252.8 cm²
Step-by-step explanation:
The missing side of the right triangle can be found from the Pythagorean theorem:
s² = 20² -16² = 400 -256 = 144
s = 12 . . . . cm
The area of a right triangle is more easily found using the traditional area formula:
A = 1/2bh
A = 1/2(12 cm)(16 cm) = 96 cm² (left-side triangle)
The area of the triangle on the right can be found from Heron's formula. The semiperimeter is ...
s = (16 +20 +23)/2 = 29.5
The area is ...
A = √(29.5(29.5 -16)(29.5 -20)(29.5 -23)) = √(29.5·13.5·9.5·6.5)
A = √24591.9375 ≈ 156.818 . . . . . cm² (right-side triangle)
Then the total area of the figure is ...
A = 96 cm² +156.818 cm² = 252.818 cm² . . . . total area
Answer:
Calculating the area of a shape or surface can be useful in everyday life
Step-by-step explanation:
