Answer:
176 cm^3
Step-by-step explanation:
The volume of prism is given by:
V = w * h * l = width * height * length
V1 = 2 * 8 * 2 = 32 cm^3
V2 = 3 * 6 * 8 = 144 cm^3
V_t = V1 + V2 = 32 + 144 = 176 cm^3
Answer:
The value of k is greater than or equal to 0, i.e. k≥7.
Step-by-step explanation:
The given equation is
The value of k must be a positive integer because k! is defined for k≥0, where k∈Z.
Subtract 48 from both the sides.
Using , we get
Divide both sides by 48k.
Note: The value of m can be 0 or 1.
The value of k is positive integer, so the right hand side of the above equation must be a positive integer.
Since RHS of the equation is positive integer, therefore (k-1)! is completely divisible by 48.
Add 1 on both sides.
Therefore the value of k is greater than or equal to 0.
36) <span>5(2 + 7k)(-2 + 7k)
39) </span><span>8(5 + b)(5 + b)</span>