Answer:
49.33
Step-by-step explanation:
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.
For any kite, we have two pairs of congruent adjacent sides. In general, the kite would have sides of x, x, y , y. In this case, x = 19 is known while y is unknown.
The four sides add up to 52, so
x+x+y+y = perimeter
19+19+y+y = 52
38+2y = 52
2y+38-38 = 52-38 .... subtract 38 from both sides
2y = 14
2y/2 = 14/2 ... divide both sides by 2
y = 7
Therefore the opposite side of the 19 meter side is 7 meters
<h3>Answer: B) 7 meters</h3>
It is a ratio problem...
2 dogs need 144 feet = 2 : 144
Simplify the ratio = 1 : 72
Multiply both sides by 8 (8 dogs) = 1*8 :144*8
Simplify the ratio = 8 : 1152
8 dogs need 1152 feet of fencing
Hope this helps!