Answer:
The answer is C (46)
Step-by-step explanation:
Since the measurement of the triangle is 180 then you must subtract 180 by 88 to create 92 and divided that 92 by 2 to get 46.
Answer:
It's closer to 1
Step-by-step explanation:
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.
I think that the Equivalent fraction is 6/8
Answer:
$3743.43
Step-by-step explanation:
The amount is given by the formula ...
A = Pe^(rt)
where P is the principal, r is the annual rate compounded continuously, and t is the number of years. Filling in the values, we get ...
A = $1600·e^(0.0425·20) = $1600·e^0.85
≈ $1600·2.33964685 ≈ $3743.43
The amount in the account will be $3743.43.
