To find this answer you need to find the area of the whole cake and divide it by 8. To find area of a circle, you need the formula (pi)*r^2. The radius is the diameter divided by two. Your final formula would be (pi)*8^2. This is approx. 201.06 in^2. Divide this number by 8, and you have your answer. I got 25.13 in^2.
Answer:
x = 3.6
Step-by-step explanation:
- By the property of intersecting chords, we have:
( x² - 1 ) / ( x² + 5 x + 4 ) < 0
x² + 5 x + 4 = x² + 4 x + x + 4 = x ( x + 4 ) + ( x + 4 ) = ( x + 4 ) ( x + 1 )
Therefore:
( x - 1 ) ( x + 1 ) / ( x + 4 ) ( x + 1 ) < 0
( x -1 ) / ( x + 4 ) < 0
1.
x - 1 > 0 and x + 4 < 0
x > 1 and x < - 4 ( not possible )
2.
x - 1 < 0 and x + 4 > 0
x < 1 and x > - 4
Answer: x ∈ ( - 4, 1 ).
