Solution:
Let x be the distance in miles from the house to the theater.
Total time taken for the trip 
Then average speed 
Terrence walks at a speed of 2 miles per hour to the theater and returns home at 40 miles per hour.
Thus, Average Speed 
mi/hr
Both average speeds must be equivalent. Hence, we can express this as:
Consequently, the distance from home is 13.125 miles.
Answer:
Step-by-step explanation:
Andrew's preferred vegetables include cucumbers, green beans, and red peppers.
Samantha had a wide range of musical tastes; such as jazz, classical, hip hop, country, and heavy metal.
Please correct me if I'm mistaken.
9514 1404 393
Answer:
∛(2500π)√37 m² ≈ 120.911 m²
Step-by-step explanation:
If the height of the cone is three times the diameter, that means it is six times the radius. Hence, the volume is computed as...
V = 1/3πr²h
V = 1/3πr²(6r) = 2πr³
To find the radius for a volume of 100 m³, solve...
100 m³ = 2πr³
r = ∛(50/π) m
To calculate the lateral area, the slant height must be found using the Pythagorean theorem:
s² = r² +(6r)² = 37r²
s = r√37
Thus, the lateral area is calculated as...
LA = πrs
LA = π(∛(50/π) m)(∛(50/π) m)√37
LA = ∛(2500π)√37 m² ≈ 120.911 m²
