Answer:
200
Step-by-step explanation:
Answer:
384mm
Step-by-step explanation:
Answer:
90 possible outcomes.
Step-by-step explanation:
In order to find the total number of combinations possible you simply need to multiply the total number of each options with one another. For example, the number of options in each category are the following
types: 5
toppings: 6
size: 3 (small, medium, large)
Now we simply need to multiply all three of these numbers together to find the total number of possible outcomes.
5 * 6 * 3 = 90 possible outcomes.
Answer:
1250 m²
Step-by-step explanation:
Let x and y denote the sides of the rectangular research plot.
Thus, area is;
A = xy
Now, we are told that end of the plot already has an erected wall. This means we are left with 3 sides to work with.
Thus, if y is the erected wall, and we are using 100m wire for the remaining sides, it means;
2x + y = 100
Thus, y = 100 - 2x
Since A = xy
We have; A = x(100 - 2x)
A = 100x - 2x²
At maximum area, dA/dx = 0.thus;
dA/dx = 100 - 4x
-4x + 100 = 0
4x = 100
x = 100/4
x = 25
Let's confirm if it is maximum from d²A/dx²
d²A/dx² = -4. This is less than 0 and thus it's maximum.
Let's plug in 25 for x in the area equation;
A_max = 25(100 - 2(25))
A_max = 1250 m²