Answer:
Area = π r 2
C
360
where:
C is the central angle in degrees
r is the radius of the circle of which the sector is part.
π is Pi, approximately 3.142
Step-by-step explanation:
Answer:
-8a^12b^6
Step-by-step explanation:
multiply each term with the power
Answer:
- Library 2 charges more for each book loaned.
- Library 1 has a cheaper subscription fee.
Step-by-step explanation:
Based on the table, we can write the equation for the cost of borrowing from Library 2 using the two-point form of the equation of a line:
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
for (x1, y1) = (2, 15.50) and (x2, y2) = (8, 26) this equation becomes ...
y = (26 -15.50)/(8 -2)(x -2) +15.50 . . . . . fill in the values
y = (10.50/6)(x -2) +15.50 . . . . . . . . . . . . simplify a bit
y = 1.75x -3.50 +15.50 . . . . . . simplify more
In the above, we have x = number of books; y = cost. We can use "n" and "C" for those, respectively, as in the equation for Library 1. Then the monthly cost for Library 2 is ...
C = 12 + 1.75n . . . . . . . arranged to the same form as for Library 1
_____
Now, we can answer the questions.
Library 2 charges more for each book loaned. (1.75 vs 1.50 for Library 1)
Library 1 has a cheaper subscription fee. (10 vs 12 for Library 2)
_____
The numbers in the cost equations are ...
C = (subscription fee) + (cost per book loaned)·n
Answer:
The third statement is true reason.
Step-by-step explanation:
See the diagram given with this question.
The conclusion is that lines l₁ and line l₂ intersect only at point P.
A line contains at least two points - is not the reason for this conclusion.
Through any two different points, exactly one line exists - is also not the reason for the above conclusion because we are concerned about only P point here.
If two lines intersect, then exactly one plane contains both lines - is not the actual reason as there is no mention of a plane in the conclusion.
If two lines intersect, then their intersection is exactly one point - this gives the actual reason for the conclusion above and the only point of intersection of two lines l₁ and l₂ is point P only. (Answer)
Answer:
285 ft
Step-by-step explanation:
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