All the transformation performed on a pentagon does not affect on its size or its length
It is not stretched or shrunk
So,
The original and transformed images are congruent
Answer:
The answer is $5450 per month
Answer:
-8748
Step-by-step explanation:
(6^2)(-3^5)
(6 x 6)(-3 x-3 x-3 x -3 x -3)
(36)(-243)
36 x -243
-8748
1) Considering that those points (2,k) and (k,32) determines one same line, within the plane. Therefore we can say that
2) Considering that since they pass through the origin then their x -coordinate is equal to zero, and their y coordinate as well so
3) We can state that as a matter of fact (2, k) and (K, 32) can be rewritten as (2,0) and (0,32)
k=0
Answer:
<em>908360.67 lb-ft</em>
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Step-by-step explanation:
height of tank= 6 ft
diameter of the tank = 4 ft
density of water p = 62.4 lbs/ft
A is the cross sectional area of the tank
A = 
where r = diameter/2 = 4/2 = 2 ft
A = 3.142 x
= 12.568 ft^2
work done = force x distance through which force is moved
work = F x d
Force due to the water = pgAh
where g = acceleration due to gravity = 32.174 ft/s^2
Force = 62.4 x 32.174 x 12.568 x 6 = 151393.44 lb
work done = force x distance moved
work = 151393.44 x 6 = <em>908360.67 lb-ft</em>