Answer:
68.8 sq. inches.
Step-by-step explanation:
The triangular surfaces have sides 2 in by 3 in by 4 in.
So, half perimeter, s = 
So, the area of the triangular face is 
sq. inches.
Now, the total surface area of the right triangular prism will be (2.9 × 2) + 7(2 + 3 + 4) = 68.8 sq. inches. (Answer)
Answer: (0,4)
Step-by-step explanation:
Answer:
-6i
Step-by-step explanation:
Complex roots always come in pairs, and those pairs are made up of a positive and a negative version. If 6i is a root, then its negative value, -6i, is also a root.
If you want to know the reasoning, it's along these lines: to even get a complex/imaginary root, we take the square root of a negative value. When you take the square root of any value, your answer is always "plus or minus" whatever the value is. The same thing holds for complex roots. In this case, the polynomial function likely factored to f(x) = (x+8)(x-1)(x^2+36). To solve that equation, you set every factor equal to zero and solve for the x's.
x + 8 = 0
x = -8
x - 1 = 0
x = 1
x^2 + 36 = 0
x^2 = -36 ... take the square root of both sides to get x alone
x = √-36 ... square root of an imaginary number produces the usual square root and an "i"
x = ±6i
Answer:
111101011 subscript 2
Step-by-step explanation:
491 / 2 = 245 , 1 remainder
245 / 2 = 122 , 1 remainder
122 / 2 = 61 , 0 remainder
61 / 2 = 30 , 1 remainder
30 / 2 = 15 , 0 remainder
15 / 2 = 7 , 1 remainder
7 / 2 = 3 , 1 remainder
3 / 2 = 1 , 1 remainder
1 / 2 = 0 , 1 remainder
Now, we're going to put the remainders together in reverse order to get the final answer.
111101011 ---> this is the final solution
See the image below for how you would write 111101011 subcript 2.
