Answer:
Step-by-step explanation:
2 * L + 2 * W = 68
2*L = 2* 9x = 9x + 9x
2*W = 2*8x = 8x + 8x
Since the perimeter is 68
9x + 9x + 8x + 8x = 68
Answer:
A) A(t) = 4500*π - 1600*t
B) A(4) = 7730 in³
C) t = 8,8 sec
Step-by-step explanation:
The volume of the sphere is:
d max = 30 r max = 15 in
V(s) = (4/3)*π*r³ V(s) = (4/3)*π* (15)³
V(s) = 4500*π
A) Amount of air needed to fill the ball A(t)
A(t) = Total max. volume of the sphere - rate of flux of air * time
A(t) = 4500*π - 1600*t in³
B) After 4 minutes
A(4) = 4500*π - 6400
A(4) = 14130 - 6400
A(4) = 7730 in³
C) A(t) = 4500*π - 1600*t
when A(t) = 0 the ball got its maximum volume then:
4500*π - 1600*t = 0
t = 14130/1600
t = 8,8 sec
Area of triangle = 1/2 (6)(5) = 15
Area of semicircle = 1/2(3.14)(3^2) = 14.13
Area of figure = 15 + 14.13 = 29.13
Answer
29.13 square units
Answer:
Step-by-step explanation:
The function that could model this periodic phenomenon will be of the form
The tide varies between 3ft and 9ft, which means its amplitude 
is
and its midline 
is
.
Furthermore, since at 
the tide is at its lowest ( 3 feet ), we know that the trigonometric function we must use is 
.
The period of the full cycle is 14 hours, which means
giving us
With all of the values of the variables in place, the function modeling the situation now becomes
Answer:
27
Step-by-step explanation:
If you have an exponent that is a fraction, you need to make a radical with the index from the denominator and an exponent of the radicand from the numerator.
(243)^3/5=(![\sqrt[5]{243}^3](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B243%7D%5E3)
)
This would come out as ![\sqrt[5]{14348907^}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B14348907%5E%7D)
. this further simplifies down to the final answer of 27
