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:
C. -3/2
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes.
We know that line <em>m </em>is perpendicular to line <em>l. </em>
Line <em>l </em>has a slope of 2/3. To find the slope of line <em>m, </em>find the negative reciprocal of 2/3.
Negative: switch the sign
2/3 --> -2/3
Reciprocal: switch the numerator (top number) and denominator (bottom number)
-2/3 --> -3/2
Line <em>m</em> has a slope of -3/2 and C is correct.
30.007
300/10=30
7/1000=.007
30+.007=30.007
Answer:90
Step-by-step explanation:
10,20,30,40,50,60,70,80,90,100
Counting in tens the same row as 83 is 90 .
Answer:
0.9 tons or 9 tons
Step-by-step explanation:
<u>For 1800 pounds</u>
1 ton = 0.0005 pounds
so
0.9 tons = 1800 pounds
<u>For 18000 pounds</u>
1 ton = 0.0005 pounds
so
9 tons = 18000 pounds
