Answer:
Step-by-step explanation:
<u>Assume a solution</u>
Assume that 60 is the length. The width is then 1/4 less, or 60 -60/4 = 45.
The diagonal of this rectangle is found using the Pythagorean theorem:
d = √(60² +45²) = √5625 = 75
<u>Make the adjustment</u>
This is a factor of 75/40 larger than the actual diagonal, so the actual dimensions must be 40/75 = 8/15 times those we assumed.
length = (8/15)×60 = 32
width = (8/15)×45 = 24
The length and width of the rectangle are 32 and 24, respectively.
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<em>Comment on this solution method</em>
This method is suitable for problems where variables are linearly related. If we were concerned with the area, for example, instead of the diagonal, we would have to adjust the linear dimensions by the <em>square root</em> of the ratio of desired area to "false" area.
Answer: The top of the ladder is moving down at a rate of 0.303 feet / second
Step-by-step explanation: Please see the attachments below
Answer:
7 point four hunnid(hundred) and eighty-two
Answer:
100
Step-by-step explanation:
f(x) = 1/x
So,
f(0.01) = 1/0.01
=> f(0.01) = 100
Answer:
y=-x+2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-5-1)/(7-1)
m=-6/6
m=-1
y-y1=m(x-x1)
y-1=-1(x-1)
y-1=-x+1
y=-x+1+1
y=-x+2
