Answer:
40
Step-by-step explanation:
The number of gift baskets Nikki can make varies directly with the amount of time she spends making the baskets .
Let n be the number of baskets and let t be the mount of time it takes to make the basket. This means that:
n α t
=> n = kt
where k = constant of proportionality
She can make 4 baskets in every 1/2 hour.
This means that:
4 = k * 1/2
=> k = 4 * 2 = 8 baskets per hour
The time is now 5 hours (t = 5). Therefore:
n = 8 * 5 = 40 baskets
She can make 40 baskets in 5 hours.
Answer:
37.35 in
Step-by-step explanation:
The volume of a cone is given by the formula ...
V = (π/3)r²h
where r is the radius of the base and h is the height. We want to find the diameter of the base, so we can rewrite this in terms of diameter and solve for d. Please note that the height is given in millimeters, not inches, so a conversion is necessary.
V = (π/3)(d/2)²h
12V/(πh) = d²
d = 2√(3V/(πh)) = 2√(3(2.2×10^4 in^3)/(π·1530 mm/(25.4 mm/in))
= 2√(1.6764×10^6/(π·1.53×10^3) in^2)
d ≈ 37.35 in
The base diameter of the cone is about 37.35 inches.
Answer:
130 feet or 39.6m
Step-by-step explanation:
for Marely's first rectangular park, L=54 and B= 38
Total perimeter of distance walked in first rectangular park is 2(L+B), which is 2(54+38) =184 feet
For Marely's second rectangular park, L= 32 and B=22
Total perimeter of second distance 2(L+B), which is 2(32+22) = 108 feet
Total perimeter covered by Marely = (P1+P2) 184+108 = 292 feet
Marely's brother = 2(L+B)
2(48+33) = 162 feet
Hence, difference is 292-162 = 130 feet or 39.6m
Angle between 16 and 18 = 90 + 55 = 145°
