Refer to the figure given below while reading the solution.
Suppose the dog reaches position A when traveled 10 m diagonally towards the opposite side.
And then position B when traveled 5 m towards the right turning 90°.
We can observe that APC is a right triangle with legs of equal length AC. And the coordinates of the point A is (AC, AC).
Also we can observe that APB is a right triangle with legs of equal length AD. Then the coordinates of the point D is (AC, AC-AD).
Hence, the coordinates of B will be (AC+AD, AC-AD).
Now, we since we have the coordinates we can calculate the shortest distances of B from each of the sides.
- The shortest distance of B from PQ = AC-AD
- The shortest distance of B from SR = 44-(AC-AD)
- The shortest distance of B from SP = AC+AD
- The shortest distance of B from RQ = 44-(AC+AD)
So, the average of the shortest distances of B from each side is 
Hence, the average of the shortest distance of B from each side is 22 m
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Total Value =$23,000
Time = 10 february to 10 august = 6 months
And
Rate of discount = 9% =0.09
Now we have to find the discount on the note
So we multiply the amount , time and rate
but time should be in years
So 6 months = 6/12 years = 0.5 years
So
Discount = 23,000 * 0.5 * 0.09 = 1035
Hence total Discount = $1035
Answer:
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
(-4,0) and (3,2)
m1=(2-0)/(3+4)=2/7
y=2/7x+b1, using point (-4,0) to find b1 (substitute x=-4 and y=0 in the form)
0=2/7*(-4)+b1 ⇒ b1= 8/7
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(-3,2) and (4,0)
m2=(0-2)/(4+3)= -2/7
y= -2/7x+b2, using point (4,0) to find b2 (substitute x=4 and y=0 in the form)
0= -2/7*4+b2 ⇒ b2=8/7
----
m1b2+m2b1= 2/7*8/7 -2/7*8/7=0
z° = 80° (Being corresponding angles)
y° + 80° = 180° (Being linear pair of angles)
=> y° = 180° - 80°
=> y° = 100°
x° = y° (Being interior opposite angles)
=> x° = 100°