Answer:
which is choice C
=====================================================
Explanation:
This is a 30-60-90 triangle. The short leg is 5, as it's opposite the smallest angle. The long leg is
times that of the short leg.
Answer: 46.90mins
Step-by-step explanation:
The given data:
The diameter of the balloon = 55 feet
The rate of increase of the radius of the balloon when inflated = 1.5 feet/min.
Solution:
dr/dt = 1.5 feet per minute = 1.5 ft/min
V = 4/3·π·r³
The maximum volume of the balloon
= 4/3 × 3.14 × 55³
= 696556.67 ft³
When the volume 2/3 the maximum volume
= 2/3 × 696556.67 ft³
= 464371.11 ft³
The radius, r₂ at the point is
= 4/3·π·r₂³
= 464371.11 ft³
r₂³ = 464371.11 ft³ × 3/4
= 348278.33 ft³
348278.333333
r₂ = ∛(348278.33 ft³) ≈ 70.36 ft
The time for the radius to increase to the above length = Length/(Rate of increase of length of the radius)
The time for the radius to increase to the
above length
Time taken for the radius to increase the length.
= is 70.369 ft/(1.5 ft/min)
= 46.90 minutes
46.90mins is the time taken to inflate the balloon.
Answer:
<u>36</u>
Step-by-step explanation:
You multiply 40% by 90. Or make 40% 0.4 and multiply that by 90.
150 minutes : 3 1/2 hours
3 1/2 hours = 3.5 hours = 3.5 * 60 = 210 minutes
150 minutes : 3 1/2 hours = <span>150 minutes : 210 minutes
</span>
= 150:210
= 15 : 21
= 5 : 7
Answer:
12
Step-by-step explanation: