Answer:
15.7 inches
Step-by-step breakdown:
A slice of a round pie is a sector of a circle.
The perimeter of a slice equals the arc length s plus two times the radius r.
P = s + 2r
s = rθ = r(16/360) = r/22.5. Therefore,
16 = (r/22.5) + 2r = (r + 45r)/22.5 = 46r/22.5
16 × 22.5 = 46r
360 = 46r
r = 7.826
D = 2r = 2 × 7.826 = 15.7 inches
Thus, the diameter of the cake should be 15.7 inches.
Verification:
It is accurate.
Answer:
The correct statements are options 1 (E F + F G > E G), 2 (E G + F G > E F), and 5 (E G + E F < F G).
Step-by-step explanation:
We have triangle EFG.
For any triangle with sides a, b, and c, these inequalities hold:
Specifically for triangle EFG:
Thus, the true statements are options 1, 2, and 5.
Statements 3 and 4 are incorrect.
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