Answer: Choice D)
S(x) = 6x^2 - 20x
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Explanation:
x = side length of base
x*x = x^2 = area of base
The top also has an area of x^2 since the base and top are both congruent squares. The total base area is x^2+x^2 = 2x^2
The height h is 5 inches shorter than the base, so
h = (base length) - 5
h = x-5
Each lateral side is of area h*x = (x-5)*x = x^2-5x
There are 4 lateral sides
Total lateral area = 4*(area of one lateral side)
Total lateral area = 4*(x^2-5x)
Total lateral area = 4*x^2-4*5x
Total lateral area = 4*x^2-20x
Add the total lateral area (4x^2-20x) to the total base area (2x^2)
Doing so gets us
S(x) = Total Surface Area
S(x) = (Area of bases) + (area of lateral sides)
S(x) = (2x^2) + (4x^2-20x)
S(x) = (2x^2+4x^2) - 20x
S(x) = 6x^2 - 20x
which is why the answer is choice D
We can use triangle inequality to prove it. What this rule is, it's basically if u add up 2 sides of the triangle, the length must be longer than the third side, check all 3 sides, and if all sides matches with the rule, a triangle is possible.
Answer:
81
Step-by-step explanation:
Since the question states that the only difference would be the length of the neighbor's pool then this is basically a ratio problem. Therefore, since the question provides 3 values and one variable we can solve this using the Rule of Three which takes the diagonal values multiplies them together, and divides by the last sole value to get calculate the variable like so...
243 volume <=====> 9 m length
x volume <=====> 3 m length
(3* 243) / 9 = 81
Therefore, the volume of the neighbors pool will be 81
Answer:
The radio would be 3:8 or 3/8
Step-by-step explanation:
One way to do it to divide 18 by 48. If you get a fraction of your calculator, convert it into a fraction. A fraction and a ratio are the man the same thing but are written in different ways.
