Which number is greatest? 0.099, 0.292, 0.381, 0.413?

Mathematics

2 answers:

Sedaia [141]4 years ago

8 0

Answer:

The greatest number is 0.413.

Step-by-step explanation:

The given numbers are

0.099, 0.292, 0.381, 0.413

We know that the decimal point lies between Ones and Tenths.

The digit at once place is same, i.e., 0. So we have to compare that digit of tenth place.

The digit on the tenth place of 0.099 is 0.

The digit on the tenth place of 0.292 is 2.

The digit on the tenth place of 0.381 is 3.

The digit on the tenth place of 0.413 is 4.

Since 0<2<3<4, therefore 0.099 < 0.292 < 0.381 < 0.413.

Therefore the greatest number is 0.413.

Degger [83]4 years ago

4 0

0.099
0.292
0.381
0.413

0.413 is the greatest.

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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,

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