the ratio of one side of abc to the corresponding side of similar def is 5:8. if the perimeter of def is 96 inches, what is the
1 answer:
Answer:
Perimeter of abc is 60 inches.
Step-by-step explanation:
The ratio of one side of triangle abc to the corresponding side of similar triangle def is 5:8.
Now we are given that the perimeter of def is 96 inches.
since the perimeter is the sum of all the sides of a triangle.
<em>" If two similar triangles have a scale factor of a : b, then the ratio of their perimeters is a : b" .</em>
Here we have a=5 and b=8.
Hence by the above statement we could say that:
Let Perimeter of abc be denoted by "P"
Perimeter of abc : Perimeter of def=5:8
⇒
Hence the Perimeter of abc is 60 inches.
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Work Shown:
I'm going to use the following rules
Rule 1: log(x)+log(y) = log(x*y)
Rule 2: log(x)-log(y) = log(x/y)
Rule 3: y*log(x) = log(x^y)
Rule 4: x^(1/2) = sqrt(x) ... where 'sqrt' stands for 'square root'
Using those rules, we get...
4*log(x)+log(y) - (1/2)*log(z)
log(x^4)+log(y) - log(z^(1/2)) <<-- using rule 3
log(x^4)+log(y) - log(sqrt(z)) <<-- using rule 4
log(x^4*y) - log(sqrt(z)) <<-- using rule 1
log[ (x^4*y)/(sqrt(z)) ] <<-- using rule 2
(if this font is too small then try zooming in, or you can check out the attached image which shows the answer in bigger font)
---------------------------------
Work Shown:
I'm going to use the following rules
Rule 1: log(x)+log(y) = log(x*y)
Rule 2: log(x)-log(y) = log(x/y)
Rule 3: y*log(x) = log(x^y)
Rule 4: x^(1/2) = sqrt(x) ... where 'sqrt' stands for 'square root'
Using those rules, we get...
4*log(x)+log(y) - (1/2)*log(z)
log(x^4)+log(y) - log(z^(1/2)) <<-- using rule 3
log(x^4)+log(y) - log(sqrt(z)) <<-- using rule 4
log(x^4*y) - log(sqrt(z)) <<-- using rule 1
log[ (x^4*y)/(sqrt(z)) ] <<-- using rule 2