QUESTION 1
The given logarithm is
We apply the power rule of logarithms;
We now apply the product rule of logarithm;
QUESTION 2
The given logarithm is
We apply the power rule of logarithm to get;
We apply the product to obtain;
We apply the quotient rule;
Answer:
Step-by-step explanation:
The attached diagram shows the triangle ABC formed by the ladder with the wall of the house.
Triangle ABC is a right angle triangle. It has a 90 degree angle. The length of the ladder forms the hypotenuse(AC)of the triangle. This length can be determined by applying Pythagoras theorem
Hypotenuse^2 = opposite ^2 + adjacent^2
AC^2 = 22^2 + 5^2
AC^2 = 484 + 25 = 509
AC = √509
AC = 22.56
The slope of the ladder is
(change in y)/(change in x)
Slope = 22/5 = 4.4
Answer: 34.54feet
Step-by-step explanation:
Thw circumference of the pool will be calculated by using the formula:
= 2πr
where
π = 3.14
r = 5.5
Therefore, circumference = 2πr
= 2 × 3.14 × 5.5
= 34.54feet
Therefore, the circumference of the pool to the nearest hundredth is 34.54feet.
64 divided by 16= 4
3x4=12
if Mckenzie uses 64 tea bags she will need to use 12 cups of sugar