Answer
given,
side of rectangle, AB = CD = 32
BC = DA = 24
rectangle is rotated 90° clockwise about C.
then rotated 90° clockwise about D.
Path traveled by the point A for first rotation will be in circle with radius AC.
AC = 40
θ₁ = 90°
D₁ = 1256.64
For the second rotation Point A will move in circular path with radius of AD
AD = 24
θ₁ = 90°
D₂ = 452.39
total path traveled by the point A
D = D₁ + D₂
D = 1256.64 + 452.39
D = 1709.03
The value of x is more 90 because the angle is an obtuse and an obtuse is more than 90 degrees.
Answer:
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this is 100% correct
Given parameters:
Equation of the line is y = -
+ 8
Unknown:
Slope of line parallel to this line = ?
Slope of line perpendicular = ?
Solution:
A line parallel to this line will have the same slope with it.
A line perpendicular will have the negative inverse of this slope;
Slope of line = - 
Slope of line parallel to this line = 
Slope of line perpendicular = negative inverse = -( -(
)) = 2
So, the slope of line parallel to this line is - 1/2 and that perpendicular is 2
The way you work this out is by thinking about the odds of each singular event, then finding the overall odds based on the individual odds.
The number of different books Mrs. Reid can choose is 9, so the first number is 9.
Mrs. Reid has picked one book so far, so now she has (1 - 9) = 8 books to choose from.
The of different books Mrs. Reid can choose now is 8, so your second number is 8.
Mrs. Reid has picked 2 book thus far, so now there are (2 - 9) = 7 books to choose from.
The of different books Mrs. Reid can choose now is 7, so your second number is
7.
To get the total number of different choices, multiply all the singular events together:
