Answer:
512x⁴y¹²
Step-by-step explanation:
its a cube so length x width x height
8xy⁴ times 8xy⁴ times 8xy⁴ is 512x³y¹²
Answer:
54
Step-by-step explanation:
Multiply:
<em>37x37=72</em>
<em>Subtract:</em>
<em>180-72=108</em>
<em>Divide:</em>
<em>108/2=54</em>
Answer:
Minimum number of calls = 10
Step-by-step explanation:
Lets name the five people as A,B,C,D and E.
<u>On the night before ,each person talks to every other person atleast once that means A would talk to B,C,D and E atleast once.</u>
Lets start with A. He would talk to other 4 people which means there would be 4 phone calls made.
Now lets take B. He can talk to A,C,D and E. But A has already talked to C therefore to get minimum number of phone calls , B need not call A again. So he calls only C,D and E.
In case of C using similar logic he need to talk to only D and E.
For D , he talks to E alone.
E does not have to talk to anyone as he has already talked to everyone atleast once.
Total calls = 4 + 3 + 2 + 1
= 10
You have to expand the expression so that it becomes
3m+3n
Answer:
Step-by-step explanation:
Let , we proceed to transform the expression into an equivalent form of sines and cosines by means of the following trigonometrical identity:
(1)
(2)
Now we perform the operations:
(3)
By the quadratic formula, we find the following solutions:
and
Since sine is a bounded function between -1 and 1, the only solution that is mathematically reasonable is:
By means of inverse trigonometrical function, we get the value associate of the function in sexagesimal degrees:
Then, the values of the cosine associated with that angle is:
Now, we have that , we proceed to transform the expression into an equivalent form with sines and cosines. The following trignometrical identities are used:
(4)
(5)
If we know that and , then the value of the function is: