AC = c over 3
BD = 4 - c
Answer:
400 ft^2
Step-by-step explanation:
It can be shown that a square area is the most efficient way in which to use fencing. If the area is not square, the area will inevitably be smaller.
Calculus is the tool most often used in higher math to solve optimization problems.
But the same goal can be achieved in this problem by working with constraints:
If x and y are the length and width respectively, then
2x + 2y = 80 ft, or x + y = 40, or x = 40 - y. This is one constraint.
The other constraint involves the area: A = x*y, or A = (40 - y)*y. To maximize this, we need to rewrite (40 - y)*y in standard form:
A = 40y - y^2, or, finally, A = -y^2 + 40 y. The coefficients of this quadratic are -1, 40 and 0; the axis of symmetry is thus
x = -b/ [2a], or, in this case, x = -40/[2*(-1)], or x = 20.
Thus, If x = 20, y = 20 also, proving that the shape of the enclosed yard is that of a square.
Then Mrs. L' 80 feet of fencing is sufficient to construct a 20 ft by 20 ft space, which comes out to a maximum area of 400 ft^2.
40 -
Answer:
675= 3.14× r²
r²= 675/ 3.14
r²=214.968
radius=14.66 meters
diameter= 2× radius
diameter= 2× 14.66
diameter = 29.32 meters
A. 84
B. 48
C. –84
D. –48
7 × (-3) ×(-2)2 =
7 × -3 × -4 = (you have to eliminate all parenthesis in the equation.)
7 × -12 = -84
so your answer would be: C
Answer:
The sum of the exterior angles in a convex 50-gon polygon is 360°⇒ A
Step-by-step explanation:
In the question
∵ The polygon has 50 sides
→ By using the 3rd rule above
∵ The sum of the exterior angles of any polygon (n-gon) is 360°
∴ The sum of the exterior angles in a convex 50-gon polygon is 360°
Answer:
3948 members
Step-by-step explanation:
SInce a is the initial amount, a = 2000. b represents growth factor, and the amount increases by 12% every year, so b = 1.12. Since you want to find the value in 6 years, x= 6. Therefore your equation is y = 2000 • 1.12 ^ 6. Plug it into your calculator and you get y = 3947.64, and since they are people you round up to 3948 members.