Answer:
1) 75
2) 63
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Step-by-step explanation:
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.
To find the surface area of the entire sculpture, you need to add up the surface area of each part of the sculpture. Overall, you see two triangles connected by two rectangles at the top, and the half of a cylinder at the bottom.
To find the area of one of the two triangles, you use the equation A = (1/2)bh, where b = the base of the triangle and h = the height. So, the area of one triangle is:
There are 162 tens but if you want to be exact, there are 162.7