Answer:
see explanation
Step-by-step explanation:
(5)
Using the trigonometric identity
sin²x + cos²x = 1 ⇒ cos²x = 1 - sin²x
Given
3sin²Θ + 2cos²Θ - 2
= 3sin²Θ + 2(1 - sin²Θ) - 2
= 3sin²Θ + 2 - 2sin²Θ - 2
= sin²Θ
(6)
Using the trigonometric identity
secx = 
Consider the left side
= 
= = secx = right side ⇒ verified
(7)
Using the trigonometric identity
1 + cot²x = csc²x
Given
sin²x. cot²x + sin²x ← factor out sin²x from each term
= sin²x(cot²x + 1)
= sin²x. csc²x
= sin²x × 
= 1
We KNOW the perimeter is 38 & we KNOW the length on ONE side is 11, therefore 11 + 11 = 22 AND 38 - 22 = 16, THUS 16/2 = 8 feet THE ANSWER IS 8 feet
The answer would be be between 1 and 0.7
Answer:
10 miles less
Step-by-step explanation:
To get the direct distance first, we use the pythagorean theorem. Distance from Ferris to Butte directly would be the hypotenuse. By solving for the hypotenuse, we have 25 miles. Now the distance used previously is 35 mile. Hence, it (35 - 25 = 10 ) miles less.
Answer:
each month 3 employees were laid off.
Step-by-step explanation:
the company started with 65 employees 12 months ago, and now there are 29. 65 - 29 = 36. In 12 months, 36 employees were laid off. 36 employees divided by 12 months = 3 employees per month.
