cos a = 3/4
Step-by-step explanation:
Step 1: Given details are cos(a)^4 - sin(a)^4 = 1/8
Now, cos(a)^4 can also be written as (cos²a)² and sin(a)^4 can be written as (sin²a)²
⇒ (cos²a)² - (sin²a)² = 1/8
Step 2: Apply the formula for a² - b² = (a - b) (a + b). Here a = cos²a and b = sin²a
⇒ (cos²a)² - (sin²a)² = (cos²a - sin²a) (cos²a + sin²a) = 1/8
⇒ (cos²a - sin²a) = 1/8 since cos²a + sin²a = 1
⇒ cos²a - (1 - cos²a) = 1/8 since sin²a = 1 - cos²a
⇒ 2 cos²a - 1 = 1/8
⇒ 2 cos²a = 1 + 1/8 = 9/8
⇒ cos²a = 9/16
⇒ cos a = 3/4
Answer:
(9)(m)
Step-by-step explanation:
We can obtain the right answer to question as follow:
m – 9
We can not carryout the operation because m and 9 has nothing in common.
9 + m
We can not carry out the operation because 9 and m has nothing in common.
(9)(m)
Thus, (9)(m) can be written as
(9)(m) = 9 × m
We can carryout the operation since 9 can multiply the coefficient of m i.e 1 as shown below:
9 × m = 9 × 1m = 9m
Thus,
(9)(m) = 9m
From the above illustrations, we can see that (9)(m) is equivalent to 9m
Answer:
The answer is that Pat is right.
Step-by-step explanation:
x^2 + 7x +18
(x + 9)(x - 2)
Grace is wrong because of this. Both factors must have a + sign in order for her to be right.
Answer: 3300
Step-by-step explanation: Three years is 15%, 15% of 22,000 is 3,300
I think this is the answer, tell me if it works
Answer:
147,456
Step-by-step explanation:
