Answer:
The dimension of this rectangle = 2mm by 21mm
Where 2 mm = Width of the rectangle
21 mm = Length of the rectangle.
Step-by-step explanation:
The formula for the perimeter of a rectangle = 2(L + W)
= 2L + 2W
The perimeter = 46 mm
L = 3x + 3
W = x - 4
P = 2L + 2W
46mm = 2(3x + 3) + 2(x - 4)
46 = 6x + 6 + 2x - 8
Collect like terms
46 +8 -6 = 6x + 2x
48 = 8x
x = 48/8
x = 6
Since the Length = 3x + 3
= 3(6) + 3
= 18 + 3
= 21mm
Since the Width = x - 4
= 6 - 4
= 2mm
Therefore, the dimension of this rectangle = 2mm by 21mm
Where 2 mm = Width of the rectangle
21 mm = Length of the rectangle.
Answer:

Step-by-step explanation:
can be represented as
and
can be represented as
. Therefore, the expression can be rewritten as:

The rule for multiplying two exponents with the same base is you add the exponents. For example: 
We can use the same property to get:

which is just
after you add the fractions
Answer:
0.75,1,1.25
Step-by-step explanation:
increase in .25 every time.
3/4 is greater than 2/5. 2/5 is .4 and 3/4 is .75
Correct Answer:Second option
Solution:The given sequence is:
2.2, 6.6, 11, ...
If we observe the sequence it is an Arithmetic Sequence as the difference between two consecutive terms is the same.
6.6 - 2.2 = 4.4
11 - 6.6 = 4.4
First we find the general term for this sequence.


first term = 2.2
d = 4.4
So,

This general term will be placed inside the summation sign with limits from 1 to 5 to give the sum of first 5 terms of the given sequence. So the correct answer is Second Option