Answer:
40 mm
Step-by-step explanation:
The rectangular prism of a rectangular box. The volume is given by the formula:
<u>Volume of Rectangular Prism</u> = length * width * height
Given Volume = 3200
Length = 10
Width = 8
We need to find height. So we plug in the given information and find the height, in mm. Shown below:
Volume = Length * Width * Height
3200 = 10 * 8 * Height
3200 = 80 * Height
Height = 3200/80
Height = 40 mm
The height (h) = 40 mm
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:
If Krystal goes with plan A, She will save 120 dollars.
Step-by-step explanation:
Plan A costs 419.88 dollars per year (34.99*12= 419.88)
Plan B costs 539.88 dollars per year (134.97 * 4 = 539.88)
(Sounds desperate but can I get the Brainliest?)
Answer: 9 students
Step-by-step explanation:
15+8+3=26
35-26= 9
5/9 and 11/21
LCM of the denominators is 63
changing their denominators to all have a common denominator of 63:
5(7)/63 = 35/63
11(3)/63 = 33/63
from the above;
5/9 > 11/21.
