Answer:
ln(108) = 3.58
Step-by-step explanation:
Data provided:
ln(2) ≈ 0.69
and
ln(3) ≈ 1.10
equation to be solved
ln(108)
now,
ln(108) = ln (2 × 54)
or
= ln( 2 × 2 × 27 )
or
= ln( 2 × 2 × 3 × 3 × 3 )
or
= ln( 2² × 3³ )
Now,
we have the property of log function as:
1) ln(AB) = ln(A) + ln(B)
and,
2) ln(xⁿ) = n × ln(x)
on applying the above properties , we get
ln( 2² × 3³ ) = ln(2²) + ln(3³) using property (1)
or
= 2ln(2) + 3ln(3) using property (2)
on substituting the values given in the question
we get
ln(108) = ( 2 × 0.69 ) + ( 2 × 1.10 )
= 1.38 + 2.20
= 3.58
The answer is 36 because you have to add the perimeter of each side
Answer:
84
Step-by-step explanation:
The average is found by adding all the scores together and dividing by the number of scores
Let the unknown score be x
(85+90+79+72+x) /5 = 82
Multiply each side by 5
(85+90+79+72+x) /5*5 = 82*5
(85+90+79+72+x) = 410
Combine like terms
326+x = 410
Subtract 326 from each side
326+x-326 = 410 -326
x =84
Answer: 8.3 feet
We know the area of 1 tile is:
(1)
We also know Jack used 103.75 tiles to cover the whole bathroom floor, which is a rectangle.
Remembering (1), we have that:
(2)
Which is also the area of the rectangle from which we only have the value of one of its sides, the width :
(3)
In addition, the area of a rectangle is given by the following equation:
(4)
Where is the length.
Substituting the value of the width written in (3) and the area (2) in equation (4):
(5)
We finally have the value of the length of the bathroom floor: