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:
0.471
Step-by-step explanation:
The mnemoic SOH CAH TOA reminds you that ...
... Sin = Opposite/Hypotenuse
... sin(S) = 32/68 ≈ 0.471
Given:
Sum of interior angle
To find:
Number of sides of a polygon
Solution:
Using sum of interior angles formula:
where "S" is the sum of interior angels and "n" is the number of sides of a polygon.
Divide by 180° on both sides.
Cancel common factor 180°.
Add 2 on both sides.
Switch the sides.
Therefore number of sides of a polygon is 
.
Complete the recursive formula of the geometric sequence -0.56\,,-5.6\,,-56\,,-560,...−0.56,−5.6,−56,−560,...Minus, 0, point, 56
pentagon [3]
Answer:
The recursive formula is:
Cn = 10C(n-1)
Step-by-step explanation:
Given the geometric sequence.
-0.56, -5.6, -56, -560, ...
The common ratio is
-5.6/-0.56 = -56/-5.6 = -560/-56 = ... = 10
The recursive formula is easily
Cn = C(n-1) × 10
That is a number is ten times the preceding number.
