Answer:
The skaters are 2.5 feet apart
Step-by-step explanation:
Firstly, please check attachment for diagrammatic representation.
To calculate the distance apart, this is same as the length PJ
To calculate this length, we can use the cosine rule as follows;
O^2 = P^2 + J^2 -2(P)(J)Cos 15
O^2 = 7^2 + 5^2 -2(7)(5)Cos 15
O^2 = 49 + 25 - 70Cos15
O^2 = 74 - 67.61
O^2 = 6.39
O = √6.39
O = 2.53
O = 2.5 feet to the nearest tenth of a foot
Answer:
Thus, the equation hat correctly represents the number of ounces of beef stock, , that the chef initially prepares.
⇒
The total number of ounces of beef stock = 126
Step-by-step explanation:
Given:
Total ounces of beef stock =
The chef divided the beef stock evenly into 3 smaller pans.
The chef then uses 8 ounces from one of the smaller pans.
Ounces of beef stock left in the smaller pan = 34
Solution:
Total ounces of beef stock =
Ounces of beef stock in each smaller pan =
Ounces of beef stock used by the chef from the smaller pan = 8.
The ounces of beef stock left in the smaller pan will be given as:
⇒
Ounces of beef stock remaining in smaller pan = 34
Thus, the equation hat correctly represents the number of ounces of beef stock, , that the chef initially prepares.
⇒
Solving for .
Adding 8 both sides.
⇒
⇒
Multiplying both sides by 3.
⇒
∴
Thus, total number of ounces of beef stock = 126
