Answer:

Step-by-step explanation:
We have to simplify the trigonometric expression 
Let us multiply the numerator and denominator by 

In the denominator apply the formula for difference of squares

Thus, the denominator will become

Thus, the expression is

Using the relation 

We can rewrite this expression as

Finally, the simplified expression is

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Answer:
You will have 128 orange marbles
Step-by-step explanation:
Set this up as an equation
Variable x = number of orange marbles
3/8 = 48/x
Cross multiply
3 × x = 8 × 48
3x = 384
Divide both sides by 3 to isolate the variable
3x ÷ 3 = 384 ÷ 3
1x = 128
x = 128
128 orange marbles
Check work:
Substitute the variable x for the answer
3/8 = 48/128
Cross multiply
3 × 128 = 8 × 48
384 = 384
If the numbers equal, the answer is correct
12/8=3/2 TIMES THE OPPOSITE <span />