Sin(x)=cos(90-x); therefore x=68º
Answer:
the woman has to live 1 mile from work to minimize the expenses
Step-by-step explanation:
Given the data in the question;
the distance within 9 miles ⇒ 0 < x > 9
Total costs Q = cx + 4c/( x + 1)
costs should be minimum ⇒ dQ/dx = 0
⇒ d/dx [ cx + 4c/( x + 1) ] = 0
⇒ ( x + 1)² = 4
take square root of both side
√[ ( x + 1)² ] = √4
x + 1 = 2
x = 2 - 1
x = 1
Therefore, the woman has to live 1 mile from work to minimize the expenses
Should we simplify or solve for m...?
Answer:
This is physics. By the way look the explanation.
Step-by-step explanation:
The formula of Potential Energy is E=mgh, where m is the mass of the object, g the gravitational, and h the height of the object. Given that the potential energy of the object is 150 Joules at 3 meters height, Represent m=E/(g*h), considering g=9.8 m/s^2(Because this value was used for the first object), we get m=150/9.8/3=5.102
Rounding to 2 decimals` 5.10 kg
Answer: 12 ÷ 1 3/5
The problem is asking us to find how many days food would last. Since the food shelter uses 1 3/5 each day, the 12 bags of food would be split into 1 3/5 they use each day.