Suppose the length of the triangle is x, if the perimeter of the rectangle is 100 ft, the width of the rectangle will be (50-x) ft.
Area of rectangle will be:
A=length*width
A=x(50-x)
A=50x-x^2
at maximum area, dA/dx=0
thus
dA/dx=50-2x=0
solving for x we get
2x=50
x=25
thus for maximum area length=25 ft
the size of the width will be
50-x=50-25=25 ft
thus the maximum area will be:
25*25=625 sq. feet
Answer:
Step-by-step explanation:
We can create equivalent ratios by multiplying or dividing both the numerator and denominator of a given ratio by the same number
You can also write ratios 3 different ways:
____ to ____
____ : ____
___/___
Multiply both sides by 10.
2b=990
divide both sides by 2
b= 495
Answer:50%
Step-by-step explanation: It doesn't matter how many questions there are because for each question, you have a 50% chance of getting it right. So, the probability is 50%.
5.38 in expanded form is 5 + 0.3 + 0.08
Expanded form means you have to break it apart into addition.
