4b2 + 5b - 27
1 answer:
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Answer:
26.6 m
Step-by-step explanation:
Given the figures are similar
linear ratio = a : b
area ratio = a² : b²
here
area ratio = 16 : 25, then
linear ratio = 4 : 5 ( square root of both area ratio parts )
let the perimeter of the larger figure be x, then by proportion
=
( cross- multiply )
4x = 106.5 ( divide both sides by 4 )
x ≈ 26.6
Hence perimeter of larger figure is approximately 26.6 m
Answer:
The first choice is the one you want
Step-by-step explanation:
Use geometric means to solve for a first. The formula is
and 64 = 15a and a = 64/15
That one was quite easy. Finding b is a bit more difficult.
The formula for finding b is
Solving for b:
Filling in we have
and
and
so b = 136/15
Let's call the original price and the sale price
. Given the information in the problem, we can say:
(The sale price subtracted from the original price is the sale on the product, which we know is 125.)
We know the value of , which is 875. If we substitute this into the equation we found, we can find
, as shown below:
- Original equation
- Substitute in 875 for
- Add 875 to both sides of the equation
The original price is $1,000.