A company makes glass paperweights in the shape of a square pyramid. The base of

Mathematics

1 answer:

Serhud [2]1 year ago

3 0

Step-by-step explanation:

D) 12 in3

How to get the volume

length x width x height

in this case it be

base x height

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A square platter has sides that are 15 inches long. What is the platters perimeter?

BaLLatris [955]

The perimeter is 60 in

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2 years ago

ABC city residents vote on construction of a new playground. The number of votes in favor of playground was 3500

zubka84 [21]

Answer:

70% in favor of building a new playground

3500 (in favor) + 1500 (against it) = 5000 (total number votes)

3500 (in favor) 1500 (against it)

------------------- = 0.7 / 70% ------------------- =0.3 / 30%

5000 (total) 5000 (total)

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2 years ago

Find a formula for the described function. A rectangle has perimeter 16 m. Express the area A of the rectangle as a function of

Alex17521 [72]

Part A:

Let the length of one of the sides of the rectangle be L, then the length of the other side is obtained as follow.

Let the length of the other side be x, then

$2(L+x)=16 \\ \\ \Rightarrow L+x=8 \\ \\ \Rightarrow x=8-L$

Thus, if the length of one of the side is x, the length of the other side is 8 - L.

Hence, the area of the rectangle in terms of L is given by

$L(8 - L) = 8L-L^2$

Part B:

To find the domain of A

Recall that the domain of a function is the set of values which can be assumed by the independent variable. In this case, the domain is the set of values that L can take.

Notice that the length of a side of a rectangle cannot be negative or 0, thus L cannot be 8 as 8 - 8 = 0 or any number greater than 8.

Hence the domain of the area are the set of values between 0 and 8 not inclusive.

Therefore,

$dom(Area)=0\ \textless \ L\ \textless \ 8 \ or \ (0, 8)$