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 A
C = 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:
∠ G = 26°, ∠ F = 154°
Step-by-step explanation:
Express ∠ F in terms of ∠ G, that is
F = 6G - 2
and since the angles are supplementary, then
G + 6G - 2 = 180, that is
7G - 2 = 180 ( add 2 to both sides )
7G = 182 ( divide both sides by 7 )
G = 26
Thus
∠ G = 26° and ∠ F = 6(26) - 2 = 156 - 2 = 154°
Answer: 3/4
Step-by-step explanation:
Number of students in Jacob's homeroom = 20.
Number of students who bring their lunch to school = 5
Since the rest eat lunch in the cafeteria, the number of those who eats in the cafeteria will be:
= 20 - 5
= 15
Fraction that eats in the cafeteria will be: = 15/20 = 3/4
Answer:
50 + 20 = 70
70 + 25 = 95
150 + 95 = 245
In conclusion, 150 + 20 + 25 equals to a total amount of 215.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Answer:
x= -5
x= 9
Step-by-step explanation:
