If the sides of the rectangle are a and b,
Area=ab=3200^2
If the side with a ft cost $2/ft and side with bft costs $2/ft
Then,
Cost = 2*2*a+2*1*b=4a+2b
At minimum cost (or critical point), the derivative of cost =0
From area, b=3200/a
Using cost equation
C=4a+2*3200/a=4a+6400/a
First derivative with respect to a;
C'(a)=4-6400/a^2=0
Then, a=+/-40 The negative value is rejected. Therefore, a=40 ft and b=3200/40= 80 ft.
Therefore, a=40 ft and b=80 ft to minimize the fencing cost.
0.65 is the correct one if not up there try 0.45 other possible one
Step-by-step explanation:
A rational number is defined as any number which can be expressed in fractional p/q of two integers, where 'p' is the numerator and 'q' is the denominator. 'q' can never be zero. A rational number can also be expressed as a terminating decimal. So, when 0.25 is added in 0.45 it becomes 0.65 which is rational.
A = 2h(l + w)
A = 2hl + 2hw
A = h(2l + 2w)
÷ (2l + 2w)
A/(2l + 2w) = h
I hope this helps! Let me know if you want me to explain it :)
Answer:
The correct answer is option A. 25°
Step-by-step explanation:
From the figure we can see an isosceles triangle. FGE
<G = 65° (given)
m<G = m<E = 65°
<u>To find the value of m<HFE</u>
Consider the triangle FHE in the figure we get,
m<E + m<HFE + m<FHE = 180
m<HFE = 180 - (m<E + m<FHE)
= 180 - (65 + 90) = 25°
Therefore m<HFE = 25°
The correct answer is option A. 25°
First find out what 40% of 200 is
200 times .4 is 80
then find out what 1/3 of 150 is
divide 150 by three, which is 50
if it was 2/3 instead of 1/3, you would multiply 50 by 2
40% of 200 is greater