The length of side c would be 8.
Step-by-step explanation:
Given that,
a = 4
b = 6
cosC = -1/4
If we are given two sides and angle, the law of Cosines can be used to find the third side:

By inserting the values in the formula, we get



c = 8.
Therefore, the length of side c would be 8.
Answer:
x=2
Step-by-step explanation:
x6−7=5
x6=7+5
x6=12|:6
x=2
Answer:
sorry but the words are very blurry
Answer:
The annual federal tax deduction is $2705.04 .
Step-by-step explanation:
As given deduction in a week
Federal Tax $52.02
As there are 52 weeks in a week.
Thus
Annual Federal Tax deduction = Total number of weeks in a year × Federal Tax deduction in week
= 52 × 52.02
= $ 2705.04
Therefore the annual federal tax deduction is $2705.04 .
The volume of the cylinder is equal to the sum of all spheres
the volume of 1 sphere is V1=4/3×pi×(1/2 x)³
simplified V1=1/6×pi×x²
we conclude that the volume of the cylinder is V2=270V1
V2=45×pi×x³
also the V2 can be calculated from the cylinder
V2= base(circle)×height
V2=(3x)²×pi×h=9x²×h
so we have
9x²×pi×h=45×pi×x³
simplified h=5x