Answer:
10ab²c √(2bc)
Step-by-step explanation:
Here in this question we have to simplify the following expression:
.
We can separate each of the terms and square root each term individually.
Now, √200=√(2×4×5×5) =2×5√2 =10√2
Now, √(a²) = a.
And, √(b⁵) =√(b×b×b×b×b) =b²√b
And again, √(c³) = √(c×c×c) = c√c
Therefor, √(200a²b⁵c³) =( 10√2 )×( a )×( b²√b )×( c√c ) = 10ab²c √(2bc) (Answer)
Assuming angle A is opposite to side a, B is the opposite to side b, and angle C is the opposite to side c.
Answer:
The right triangle has the following angles:
A = 48.31º, B = 41.69º and C = 90º.
The sides are:
,
and c = 49.9.
Step-by-step explanation:
The inner sum of a triangle = 180º.
A=48.31º,
C=90º
A + B + C = 180º
48.31º+ B + 90º = 180º
B = 180º - 90º - 48.31º
B = 41.69º
We can apply the Law of Sines to solve for unknown sides:
We know that sin(90º) = 1.
Then, <em>a</em> is:
Thus, b is: