The diagonal line is the hypotenuse of a triangle whose sides are both 50 yds, so you can use Pythagoras (a^2 + b^2 = c^2) to find the answer. 50 × 50 = 2500, and 2500 + 2500 = 5000. Because 5000 is c^2, the answer is D) √5000. I hope this helps!
L = building side
W = non-building side
P = 2W + L = 42 (note only one L because the other L is the building itself)
Solve for L:
L = 42 - 2W
Area = l*w
Area = (42-2W)W = 42W - 2W2
Let area be y, so y = -2W2 +42W
Note this is a parabola pointing down because the coefficient of the W2 is negative. That makes the vertex the maximum for which we are searching.
Vertex of this parabola is at W=-b/2a, if the quadratic is aW2 + bW + c = 0
a = -2
b = 42
W = -42/(2*-2) = -42/-4 = 10.5
W = 10.5
L = 42-2(10.5) = 42-21 = 21
Area = L*W = 21 * 10.5
A = 220.5 ft2
Answer:
t=19188.2 y
Step-by-step explanation:
The exponential decay equation is:
(1)
But, A is 10% of A₀, it means that A=0.10A₀.
If we put it into equation (1), we will have:
(2)
Now, we just need to solve (2) for t.
I hope it helps you!
Answer:
-35/3
Step-by-step explanation:
-2(3x-2) + 3x + 3 = 34
-6x-4+3x+3=34
-3x-1=34
-3x=35
x=-35/3
The size of Angle L should be the same as Angle C if the triangles are congruent (or at least similar) Since Angle C = 69o, then Angle L also = 69o. You should be very careful in accepting this assumption because looks can deceive. However if the assumption of congruency is not true, there is no way to solve the problem. L = 69o.
