(a) She spends 5/12 of the day awake at home
(b) She spends 10 hours awake at home
Its C because it equals 120 minutes which is 20 times 6 and you have to add because 12 ounces is .75 lbs and 75% of 20 minutes is 15 and you add 15 minutes to the time which it will be 6:35
A^2 + b^2 = c^2
8^2 + b^2 = 11^2
64 + b^2 = 121
b^2 = 121 - 64
b^2 = 57
b = sqrt 57
b = 7.54 rounds to 7.5 ft <==
Answer:
The following two equations model this relationship.
Step-by-step explanation:
We know that when 'y' varies inversely with 'x', we get the equation
y ∝ 1/x
y = k / x
k = yx
where 'k' is called the 'constant of proportionality'.
In our case, it is given that the cube root of 'r' varies inversely with the square of 's', then
∝ 
![\:\sqrt[3]{r}=\:\frac{k}{s^2}](https://tex.z-dn.net/?f=%5C%3A%5Csqrt%5B3%5D%7Br%7D%3D%5C%3A%5Cfrac%7Bk%7D%7Bs%5E2%7D)
or
∵ ![\sqrt[3]{r}=r^{\frac{1}{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Br%7D%3Dr%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D)
Therefore, the following two equations model this relationship.