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
Answer:
x = 33
Step-by-step explanation:
Two angles are complementary as the sum of two angles is 90
x + 24 + x = 90 {Combine like terms}
2x + 24 = 90 {Subtract 24 from both sides}
2x = 90 - 24
2x = 66
x = 66/2
x = 33
Answer:
Your answers are correct.
Step-by-step explanation:
The "<" sign means less than and the ">" sign means greater than. It is clear that you have a handle on them.
1.) If Steve has no more that 28 toys, then the less than sign would represent the fact that Steve can have a maximum of 28 toys, and no more.
2.) If the temperature is more that 28 degrees Fahrenheit, then the greater than sign is appropriate in order to imply that the variable represents a higher temperature.
3.) If tony is younger than 29 years old, then the less than sign fits to show that the variable represents an age that is smaller than 29.
4.) If the table is greater than 29 kilograms, then the greater than sign is needed. It shows that the table has a greater weight than 29 kilograms.
Hope this helps! :D
Answer:
sec theta = (sqrt24/5) cos theta = -2/5 tan theta = (-[sqrt 21]/2) sec theta = 5/2 csc theta = (5sqrt21)/21 cot theta = (-2sqrt21)/21
Step-by-step explanation:
During the problem, secx = -5/2, we can assume that as cos = -2/5. -2 = x. 5 = r. find for Y with: x^2+y^2=r^2. After that, plug in for the variables and you get all the answers. Rationalize the square roots, don't forget.
Answer:
the amount after 3 weeks is $37.33
Step-by-step explanation:
Given that
His balance is -$48.82 i.e. overdraft
Now in order to get the positive balance, he plans to deposit the money of $28.55 per week
We need to find out the amount after 3 weeks
So,
= -$48.32 + $28.55 + $28.55 + $28.55
= $37.33
hence, the amount after 3 weeks is $37.33
