Step-by-step explanation:
Logarithm is basically the exponent - also called power - to which a base must be raised to produce a given number.
Mathematically, it can be displayed as:
is the logarithm of 
to the base 
, if 
, in which case we write
Lets take the first example,
as
Therefore, 4 is the logarithm of 16 to base 2.
Lets take the second example,
- Logarithmic functions are basically inverse of exponents.
Here is how they are related to each other:
Logarithm → Exponent
→ 
- Logarithms are helpful in displaying large number.
The answer is C make it half, you will always get the other half of the number
Answer: Mrs. Jefferson should plan to spend 119.1 on wallpaper
Step-by-step explanation:
She would like to wallpaper everything but the door. It means that the area to be covered by the wallpaper would be the area of the 4 walls of the room - the area of the door.
The room is 18ft in length and 12ft in width. Thea area of each side of the room is
18 × 12 = 216 square feet
Area of the 4 sides of the room is
216 × 4 = 864 square feet
The door is 7ft in width and 3 ft in length. Area of door is
7 × 3 = 21 square feet
Area to be covered is
864 - 21 = 843 square feet
Each roll of wallpaper covers approximately 160 square ft. Therefore, the number of rolls needed is
843/160 = 5.26
Since the rolls cannot be a fraction, then she needs 6 rolls
Since a roll costs 19.85, the cost of 6 rolls is
19.85 × 6 = 119.1
Answer:
1.6
Step-by-step explanation:
Question 1
cos(C) = adj/hyp
cos(C) = BC/AC
cos(C) = 15/17
Answer: Choice C) 15/17
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Question 2
sin(E) = opp/hyp
sin(E) = FD/DE
sin(E) = 24/25
So angle E is the answer
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Question 3
AC is the adjacent side to the given angle A = 33 degrees
AB = 14 is the hypotenuse
cos(angle) = adjacent/hypotenuse
cos(33) = x/14
14*cos(33) = x
x = 14*cos(33)
x = 11.741
x = 11.7
Answer: 11.7
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Question 4
x = length of board
cos(angle) = adj/hyp
cos(55) = 6/x
x*cos(55) = 6
x = 6/cos(55)
x = 10.46068
x = 10.5
Answer: 10.5
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Question 5
112 is the adjacent side to the given angle 62 degrees
x = height of building, which is the opposite leg
tan(angle) = opp/adj
tan(62) = x/112
112*tan(62) = x
x = 112*tan(62)
x = 210.641364
x = 210.6
Answer: 210.6
