Answer:
- x = arcsin(√20.5 -3√2) +2kπ . . . k any integer
- x = π - arcsin(√20.5 -3√2) +2kπ . . . k any integer
Step-by-step explanation:
Add √(82) -3sin(x) to both sides to get ...
2sin(x) = √82 -√72
Now, divide by 2 and find the arcsine:
sin(x) = (√82 -√72)/2
x = arcsin((√82 -√72)/2)
Of course, the supplement of this angle is also a solution, along with all the aliases of these angles.
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In degrees, the solutions are approximately 16.562° and 163.438° and integer multiples of 360° added to these.
Answer:
(5.9 , 1)
Step-by-step explanation:
(1 , 0) (1 , 2) length = 2
Third vertex ( x , y)
(x - 1)² + (y - 0)² = 5²
(x - 1)² + (y - 2)² = 5² isosceles triangle
(y - 2)² - y² = 0
-4y + 4 = 0
y = <u>1</u>
(x - 1)² + (1 - 0)² = 5²
(x - 1)² = 24
x - 1 = ± 2√6
x = 1 + 2√6 or x = 1 - 2√6
X in the 1st quadrant x = 1+2√6 = <u>5.9</u>
Answer: The path should be 8 feet wide
Explanation: 58’ x 78’ = 4524 sq feet
Base = 5
height = 12
Area = (5*12)/2 = 30 m²
