Rachel is making nachos for a party. The recipe calls for 2/3 cup of cheese for each plate of nachos. Part A: How many full plat
1 answer:
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Answer:
The angle between [A_F] and the base of the cone = 68.2°
The area of the base of the cone ≈ 12.57 m²
Step-by-step explanation:
The given parameters are;
The height of the cone = 5 m
The base radius of the cone = 2 m
The angle which the AC = 120°
Therefore, we have;
The angle between [A_F] and the base of the cone = The angle between [CF] and the base of the cone
The angle between [CF] and the base of the cone = tan⁻¹(5/2) = tan⁻¹(2.5) ≈ 68.2°
∴ The angle between [A_F] and the base of the cone = The angle between [CF] and the base of the cone = 68.2°
The angle between [A_F] and the base of the cone = 68.2°
The area of the base of the cone = π × r² = π × 2² = 4·π ≈ 12.57
The area of the base of the cone ≈ 12.57 m².
Answer:
x = 9
Step-by-step explanation:
A line segment parallel to a side of a triangle and intersecting the other 2 sides divides the 2 sides in proportion, that is
=
=
( cross- multiply )
8(3x - 20) = 56
24x - 160 = 56 ( add 160 to both sides )
24x = 216 ( divide both sides by 24 )
x = 9