1. The diagonal is the hypotenuse so,
√[12² + 12²] = 16.97
2. The same process is done
51.96
3. Again, use the Pythagorean theorem
35.78
4. The perimeter is 44, so the length of a side is 11, the diagonal is
15.57
5. The diagonal is 20, the formula is
d =s√2
where d is the diagonal and s is the side
s = 14.14
Answer:
C.
Step-by-step explanation:
We have been given a diagram of an oblique prism and we are asked to choose the expression that represents the volume of the prism.
Since we know that an oblique prism is a prism in which the bases are parallel, but the faces are not directly one over the other.
The volume of an oblique prism is base area multiplied by the height.
We can see from our diagram that our prism has an square base as each side of base equals x units.
We can also see from our given diagram that it has a height of (x-2) units and slant height of (x+1) units.
Since volume of oblique prism is base area times by the height (not slant height). So upon substituting the height and base area of our given prism in volume formula we will get,
Therefore, the volume of our given prism is and option C is the correct choice.
Answer:
B
Step-by-step explanation:
5x + 2(x-3) = -2(x - 1)
1. Distribute 2 through the parentheses:
5x + 2x - 6 = -2 (x - 1)
2. Distribute -2 through the parentheses:
5x + 2x - 6 = -2x + 2
3. Collect like terms:
7x - 6 = -2x + 2