Which statement accurately explains whether a reflection over the x-axis and a 180° rotation would map figure ACB onto itself?
2 answers:
Answer:
A
Step-by-step explanation:
Triangle ABC has vertices A(1,1), B(5,1) and C(3,4).
Reflectio across the x-axis has the rule:
(x,y)→(x,-y),
so
- A(1,1)→A'(1,-1)
- B(5,1)→B'(5,-1)
- C(3,4)→C'(3,-4)
Rptation by 180° has the rule
(x,y)→(-x,-y),
so
- A'(1,-1)→A''(-1,1)
- B'(5,-1)→B''(-5,1)
- C'(3,-4)→C''(-3,4)
These points A'', B'', C'' differ from original vertices, so the image triangle is not the same as the pre-image triangle.
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Answer:
The amount of heat required to raise the temperature of liquid water is 9605 kilo joule .
Step-by-step explanation:
Given as :
The mass of liquid water = 50 g
The initial temperature = = 15°c
The final temperature = = 100°c
The latent heat of vaporization of water = 2260.0 J/g
Let The amount of heat required to raise temperature = Q Joule
Now, From method
Heat = mass × latent heat × change in temperature
Or, Q = m × s × ΔT
or, Q = m × s × ( -
)
So, Q = 50 g × 2260.0 J/g × ( 100°c - 15°c )
Or, Q = 50 g × 2260.0 J/g × 85°c
∴ Q = 9,605,000 joule
Or, Q = 9,605 × 10³ joule
Or, Q = 9605 kilo joule
Hence The amount of heat required to raise the temperature of liquid water is 9605 kilo joule . Answer
After 20 minutes Clint is on page = 151
After 45 minutes Clint is on page = 181
Time slot = minutes
Difference in pages in 25 minutes = pages.
Lets suppose Clint is reading each page at same pace.
So , In 25 minutes, he can read = 30 pages
In 1 minute he can read = pages
Initial time is 20 minutes, so he can read the number of pages in 20 minutes =
So, number of pages Clint read prior to study hall were =
pages.