Answer:
Side CA = 7.8
Step-by-step explanation:
<u>Given:</u>
Acute angled
.

AB = 10
BC = 12
We can use cosine rule here to find the side AC = b
<em>Formula for cosine rule:
</em>

Where
a is the side opposite to 
b is the side opposite to 
c is the side opposite to 

To the nearest tenth <em>b = 7.8</em>
The amount of space left with the snakd container inside the wastebasket=
=(volume of the wastebasket) - (volume of the sanak container)
Volume (cylinder)=area of the circle * height
1) We calculate the volume of a wastebasket:
area of the circle=πr²=π(5 in)²=25π in²
heigth=20 in.
Volume=25π in² * 20 in=500π in³.
2) we calculate the volume of the snack container:
area of the circle=πr²=π(4 in)²=16π in²
heigth=6 in.
Volume=16π in² * 6 in=96π in³
3) we calculate the amount of space left with the sanak container inside the wastebasket.
amount of space left=500π in³ - 96π in³=404π in³
404π in³=404 * 3.141592654...in³≈1269.2 in³
Answer: 404π in³ or ≈1269.2 in³
Ask your teacher he or she will know
1. Any exponent that is 0 is always 1