Use a calculator to find the angle measure to the nearest degree for cos-1 (0.5) 45 Pts!
2 answers:
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Answer:
Options (1), (3), and (4)
Step-by-step explanation:
Since, slope of a line passing through two points and
is given by,
m =
Therefore, slope of a line passing through (0, 5) and (2, 8) will be,
m = = 1.5
Equation of line passing through (x', y') and slope 'm' is,
y - y' = m(x - x')
Therefore, equation of a line passing through (0, 5) and slope = 1.5,
y - 5 = 1.5(x - 0)
y = 1.5x + 5
Since, all the points which lie on this line will satisfy this equation.
For (4, 11),
11 = 1.5(4) + 5
11 = 11
Point (4, 11) lies on this line.
Point (5, 10)
10 = 1.5(5) + 5
10 = 7.5 + 5
10 = 12.5
But 10 ≠ 12.5
Therefore, (5, 10) doesn't line on the line.
Point (6, 14)
14 = 1.5(6) + 5
14 = 14
True.
Therefore, (6, 14) lies on the line.
Point (30, 50)
50 = 1.5(30) + 5
50 = 50
True.
Therefore, (30, 50) lies on the line.
Point (40, 60)
60 = 1.5(40) + 5
60 = 65
But 60 ≠ 65
Therefore, (40, 60) doesn't lie on the line.
Options (1), (3) and (4) and the correct options.
Answer:
It will take her 3 hours to read 120 pages.
Step-by-step explanation:
The number of pages read(y) after x hour can be modeled by a linear function in the following format:
In which a is the number of pages read per hour and b is the initial number of pages read.
A straight line goes through (0, 0)
This means that when
So
(0.5, 20)
When
So
The function in:
According to the graph, which statement must be true?
It will take her 2 hours to read 60 pages.
Less than 2 hours for 60 pages, so this is false.
It will take her 3 hours to read 120 pages.
This statement is true.
It will take her 4 hours to read 180 pages.
More than 4 hours to read 180 pages. So false.
It will take her 5 hours to read 210 pages.
More than 5 hours to read 210 pages. So false.