Answer:
√7 ≈ 2.646
Step-by-step explanation:
The law of cosines is applicable. It tells you ...
c² = a² + b² - 2ab·cos(C) . . . . . where a, b, c are triangle side lengths, and angle C is opposite side c.
Filling in the given information, you have ...
c² = 2² + 3² - 2·2·3·cos(60°) = 4 + 9 - 12·(1/2) = 7
c = √7 ≈ 2.646
The length of the third side is √7, about 2.646 units.
Answer
Find out the how many women were there .
To prove
Let us assume that the x is the scalar multiple of men and women.
As given
The ratio of men to women was 3 : 2.
Than
The total number of men = 3x
The total number of women = 2x
As given
If 120 men used the gym.
thus
120 = 3x
x = 40
The total number of women = 2 × 40
= 80
Therefore 80 women were there in the gym .
Solution:
Step 1:
We will calculate the volume of ice cream in the single scoop
The volume of the ice cream will be
By substituting the values, we will have
Step 2:
We will use the formula below to calculate the volume of the two scoops of ic cream
Step 3:
We will use the formula below to calculate the volume of the three scoops of ic cream
For the first ice cream with one scoop
For the second ice cream with two scoops
For the third ice cream with three scoops
Hence,
The final answer is
The triple sold at $5.50 has the best value because it has the lowest price of $0.21 per cubic inch of the ice cream