Hi,
Let assume a the west side,
b the length of the north wall (i suppose the answer is smaller then the barn.
Cost of the fence= a*6+a*12+b*12=3000 $.
So 3a+2b=500==>b=(500-3a)/2
Area =a*b=a(500-3a)/2= 250a-3/2a²
Derivate the area ==> 250-3a=0
==> a=250/3 and b=(500-3*250/3)/2=125
Width=125 (feet)
Length=250/3=83.333 (feet)
x° = 43°
Solution:
The lines AD, BE and CF are intersecting lines.
Given m∠AGF = 47°, m∠BGC = 90°, m∠DGE = x°.
To find the value of x°:
Line BE and line CF intersect at the vertex G.
∠BGC and ∠FGE are vertical angles.
<u>Vertical angle theorem:</u>
If two angles are vertically opposite then they are congruent.
By vertical angle theorem, ∠BGC ≅ ∠FGE
⇒ m∠FGE = 90°
Sum of the angles in a straight line = 180°
In line AD,
m∠AGF + m∠FGE + m∠DGE = 180°
⇒ 47° + 90° + m∠DGE = 180°
⇒ 137° + m∠DGE = 180°
⇒ m∠DGE = 180° – 137°
⇒ m∠DGE = 43°
⇒ x° = 43°
Hence the value of x° is 43°.
(h/5)^2 = (h/5)*(h/5) = (h*h)/(5*5) = (h^2)/25 or was you've put it
"<span>fraction numerator h squared over denominator 25 end fraction</span>"
Answer:
5 L
Step-by-step explanation:
21 cups/ 4.2L per cup =5 L total
Answer:
4.32 = k
Step-by-step explanation:
8/k = 5/2.7
We can solve using cross products
8* 2.7 = 5k
21.6 = 5k
Divide each side by 5
21.6/5 = k
4.32 = k