Answer:
60ft
Step-by-step explanation:
Let's x, y be the width and length of the surrounding rectangle. Since the area is 450 sq feet, this means xy = 450 or y = 450/x
The perimeter of this rectangle is (since there are 3 sides only)
f(x,y) = 2x + y
This is something we need to minimize. We can start by substituting y = 450/x
f(x) = 2x + 450/x
Let's take the first derivative of this function and set it to 0
y = 450 / 15 = 30ft
so the minimum perimeter that needs taping over is
f(x,y) = 2x + y = 2*15 + 30 = 60ft
Answer:
A. The probability that you make a second free throw given that you made the first free throw.
Step-by-step explanation:
Step 1
The first step is to use the definition of conditional probability. Conditional probability is the probability that one event happens given that another even has happened.
Step 2
Explain why statement A is the correct example of conditional probability.
The statement "The probability that you make a second free throw given that you made the first free throw" is correct because it implies that the first event influences the occurrence of the second event. This makes the probability distribution conditional in this case.
To get the answer we can use proportion. We know that 4$ its 100% and 4.32 its 100% + taxes.
4$ ---------- 100%
4.32 -------- x
crossmultiply now
4x=4.32*100%
4x=432% /:4
x=108%
We know that 4.32 its 100% + taxes=108% so to get taxes we have to subtract 108-100.
108%-100%=8% - its the answer.
The answer is (B).
Draw any triangle ABC. Reflect this triangle across the line AB, creating triangle A'B'C' for which A'=A and B'=B. By definition of a reflection, sides B'C and B'C' are congruent. In addition, sides A'C and A'C' are congruent. The quadrilateral CA'C'B' has two pairs of consecutive sides that are congruent and no congruent opposite sides. By definition, this is a kite.
You can fit 3 in there 13 whole times. After you do that,
the 40 is not quite full yet, but it only has room for 1 more,
so you cannot stuff the whole 3 in there again.