Answer:
3/125
Step-by-step explanation:
2 2/5 divided by 100
12/5 divided by 100
equals 3/125
Perfect squares follow this pattern:
So, two terms must be perfect squares of two certain roots. If so, the remaining term must be twice their product. Let's analyse the trinomials one by one:
1) x^2 is the square of x. -64 is not a perfect square. So, the trinomial is not a perfect square.
2) 4x^2 is the square of 2x. 9 is the square of 3. The remaining term, 12x, is indeed twice their product. So, we have
3) x^2 is the square of x. 100 is the square of 10. The remaining term, 20x, is indeed twice their product. So, we have
4) x^2 is the square of x. 16 is the square of 4. The remaining term, 4x, is not twice their product (it's only the product of 4 and x, so it should be doubled). So, this trinomial is not a perfect square.
Answer:
The correct answer is first option. 270 m³
Step-by-step explanation:
Formula:
Volume of prism = Base area * Height
Area of triangle = bh/2 where b - base and h - height
From the figure we can see that height of prism = 36 m
Base is a right angled triangle with base 5 m and height = 3 m
<u>To find the Base area</u>
Area of triangle = bh/2 = (3 * 5)/2 = 15/2 = 7.5
<u>To find the volume of prism</u>
Volume = Base area * height = 7.5 * 36 = 270 m³
Therefore the correct answer is first option . 270 m³
Answer: 45/53
Step-by-step explanation:
CAH is Adjacent over Hypotenuse
Step-by-step explanation:
We can see that the function crosses the x-axis at 3 different places, we have x = 1, x = 4 and x = 6 as our roots.
(Note: x = 6 has a repeated root)
There could be complex roots if we know more about the function, but there must be 3 distinct roots.
The best answer here is option A.