The base of a circular fountain has a radius of 3.5 feet. What is the approximate circumference of the base of the fountain?
1 answer:
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Answer:
Step-by-step explanation:
(x+6)(x+3)=9+(x+1)
= x^2+3x+6x+18
=x^2+9x+18=9(x+1)
=x^2+9x+18=9x+9
tbs = to both sides
(-9x tbs)= 9x-9x=0 so x^2+18=9
(-18tbs) = x^2=9-18 becomes x^2=-9
x=
Answer:
x = 5
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 9² = 16²
x² + 81 = 256 ( subtract 81 from both sides )
x² = 175 ( take the square root of both sides )
x = = 5
≈ 13.23 units ( to 2 dec. places )