The square root of 128/5 is 5.059644
Hope this helped!
Answer:
AB ≈ 14.3
Step-by-step explanation:
We're given <em>two sides </em>(BC and CA) and an <em>angle </em>(C)<em> between them</em>; the <em>law of cosines </em>is a good tool for calculating the third side of the triangle here. To remind you, the law of cosines tells us the relationship between the sides of a triangle with side lengths a, b, and c:

Where C is the angle between sides a and b. c is typically the side we're trying to find, so on our triangle, we have

Substituting these values into the law of cosines:

9514 1404 393
Answer:
18 in
Step-by-step explanation:
The volume of each container is the product of its dimensions:
V = LWH
We can let h represent the unknown height of Container 2. The volumes are equal when ...
32·18·12 = 24·16·h
(32·12·18)/(16·24) = h =18 . . . . . divide by the coefficient of h, simplify
The missing height of Container 2 is 18 inches.
Answer:4/3x²+8x−20
Step-by-step explanation:Combine Like Terms:
=x+
4
3
x2+7x+−20
=(
4
3
x2)+(x+7x)+(−20)
=
4
3
x2+8x+−20
Answer:
26 years
Step-by-step explanation:
Given:
The mean age of 9 women = 27 years old
The mean age of 7 men = 25 years old
Question asked:
What is the mean age (nearest year) of all the people in the office?
solution:
By using, mean = sum of observations divided by number of entities
The mean age of 9 women = 27 years old
= 

The mean age of 7 men = 25 years old
= 

Total sum of ages of men and women in the office = 243 + 175
= 418 years
Total number of people in the office = 9 women + 7 men = 16
The mean age of all the people in the office = Total sum of ages of men and women in the office divided by Total number of people in the office
= 
Therefore, the mean age (nearest year) of all the people in the office = 26 years