Answer:
181.8 yd
Step-by-step explanation:
The law of cosines is good for this. It tells you for triangle sides 'a' and 'b' and included angle C, the length of 'c' is given by ...
c^2 = a^2 +b^2 -2ab·cos(C)
For the given geometry, this is ...
c^2 = 400^2 +240^2 -2(400)(240)cos(16°) ≈ 33,037.75
c ≈ √33037.75 ≈ 181.8 . . . yards
Marsha's ball is about 181.8 yards from the hole.
Answer:
7 quarts = 28 cups
10 cups = 2.5 quarts
Step-by-step explanation:
In order to solve the two different questions in the problem, starting with a ratio of the number of quarts to the number of cups would be helpful:
So, for every 1 quart of milk, she can pour 4 cups. Using this ratio, we can set up equivalent ratios, or proportions, to solve for the missing value. For the first question, we need to know that amount of cups in 7 quarts:
We can solve for 'x' by multiplying the numerator and denominator by the same factor, in this case '7'. So, 4 x 7 = 28 cups.
Next, we need to solve for the amount of quarts needed for 10 cups:
4 x 2.5 = 10, so we need to multiply the numerator by 2.5: 1 x 2.5 = 2.5 quarts.