Area of the base = 8^2 = 64
area of 1 traingle = 1/2 * 8 * 5.4 = 21.6
there are 4 triangular sides so their area = 4 * 21.6 = 86.4
Total surface area = 64 + 86.4 = 150.4 cm2
D
Let any integer be represented by x.
Then, the consecutive integer (the number that follows) should be x+1.
The statement wants us to prove;
(x+1)²-x²=x+(x+1) <-- solve left hand side
x²+x+x+1²-x²
2x+1 (solution for left hand side)
Now solve for right hand side.
x+(x+1)= 2x+1
As noticed, the LHS=RHS (left hand side= right hand side), therefore, the difference of squared consecutive numbers subtracted is equal to the sum of the two integers.
Hope I helped :)
Answer:
1) (D)
2) (B)
3) (C)
Step-by-step explanation:
1) Amount borrowed = $1380 (P)
APR =13% or 0.13 (R)
Time = 15 months (T) = 15/12
Interest amount = 
= 
= $224.25
Total amount = 1380+224.25
= $1604.25
Monthly payment = 1604.25/15 = $106.95 (D)
2) Amount borrowed = $2240
APR = 15% or 0.15
Time = 18 months
Interest =
= 
= $504 (B)
3) Amount borrowed = $5500
APR = 11.5% or 0.115
Time = 5 years
n= 12 (compounded monthly)
M = 
= 
= $120.95 (C)
30,080,801
18,499,343,571
Step-by-step explanation:
The real number has to be 0