Answer:
Step-by-step explanation:
Given
Required
Use the expression to prove a trigonometry identity
The given expression is not complete until it is written as:
Going by the Pythagoras theorem, we can assume the following.
- a = Opposite
- b = Adjacent
- r = Hypothenuse
So, we have:
Having said that:
The expression can be further simplified as:
Substitute values for sin and cos
becomes
Answer:
25 / 676
Step-by-step explanation:
There are 5 vowels in the alphabets, and there are 26 alphabets in total as a whole.
The probability of drawing a vowel kb first trial is going to be
5 / 26, total number of vowels and total number of alphabets as a whole.
Again, we're told to replace the picked vowel, and pick another vowel, so that will once again be
5 / 26.
To get the final answer, we multiply both answers by each other
5 / 26 * 5 / 26 = 25 / 676.
Therefore, the probability has been found to be 25 / 676
Answer:
255
Step-by-step explanation:
(1-15%)a=300
a=255
The answer is 8. 40 / 31 = 1.29032258. Multiply that by 6 and you have 7.74193548. Round up because you can't buy 7.7 cans of dog food.
Answer:
see explanation
Step-by-step explanation:
let ∠BCE = x then ∠ECD = 5x - 6 and
∠BCE + ∠ECD = ∠BCD, substitute values
x + 5x - 6 = 162, that is
6x - 6 = 162 ( add 6 to both sides )
6x = 168 ( divide both sides by 6 )
x = 28
Hence
∠BCE = x = 28°
∠ECD = 5x - 6 = (5 × 28) - 6 = 140 - 6 = 134°
