Answer: (2α) = cos²(α) - sin²(α)
Step-by-step explanation:
The expression for cosine of the sum of two angles is:
cos (α + β) = cos(α)*cos(β) - sin(α)*sin(β)
in case α = β
cos ( α + α ) = cos (2α) = cos(α)*cos(α) - sin(α)*cos(α)
Hence cos (2α) = cos²(α) - sin²(α)
It will take Mary 6 1/4 hours to walk 25 miles at this rate.
Divide the total number of miles by the number of miles per hour.
25/4 hours
This fraction cannot be simplified, but it can become a mixed number.
6 1/4 hours
Answer:
d
Step-by-step explanation:
The probability of computers are 20%. Therefore to determine the amount that would break out of 10 we simply just multiply by 0.2.
Therefore at most two breaks down. The answer is d
Answer:
The exponential form of equation 
is (6)³ = 216
Step-by-step explanation:
The exponential equation of 
is 
, where b is the base, c is the exponent of b and a is the value of 
Ex: 
, its exponential function is 
Now let us solve the question
∵
∴ The base is 6
∴ The exponent is 3
∴ The answer is 216
∴ The exponential equation is (6)³ = 216
The exponential form of equation is (6)³ = 216
Answer:
the first recipe
Step-by-step explanation:
We can answer by finding the ratio of nuts to cereal. The one that has the higher ratio of nuts to cereal is the nuttier one.
Recipe 1: 2 1/2 cups of nut per 5 cups of cereal.
nuts to cereal ratio = 2 1/2 : 5 = 1 : 2
Recipe 2: 1 cups of nuts per 3 cups of cereal.
nuts to cereal ratio = 1 : 3
1 : 2 is a higher ratio than 1 : 3
Answer: the first recipe
