Answer:
10 miles per second
Step-by-step explanation:
The computation of the fastage did it travel is shown below:
As per the question, it is mentioned that
1 full mile for just 1 by 10 of a second
Based on the above information
If 1 by 10 seconds is equivalent to one mile,
So, 10 by 10 (1) second would be equivalent to 10 miles per second.
hence, it could be fast by 10 miles per second
Your answer will be f(x) = 5 because, if we look at the table, no matter what x value we plug into the function, we will always get 5.
Answer:
Step-by-step explanation:
Recall some identities:
tan(x) = sin(x) / cos(x)
cos(x + y) = cos(x) cos(y) - sin(x) sin(y)
cos(x - y) = cos(x) cos(y) + sin(x) sin(y)
sin(x - y) = sin(x) cos(y) - cos(x) sin(y)
This means we have
• cos²(90° - x) = [cos(90°) cos(x) + sin(90°) sin(x)]²
… = sin²(x)
• tan(180° - x) = sin(180° - x) / cos(180° - x)
… = [sin(180°) cos(x) - cos(180°) sin(x)] / [cos(180°) cos(x) + sin(180°) sin(x)]
… = sin(x) / (-cos(x))
… = -tan(x)
(and we also get sin(180° - x) = sin(x))
• cos(180° + x) = cos(180°) cos(x) - sin(180°) sin(x)
… = -cos(x)
So, the given expression reduces to
sin²(x) (-tan(x)) (-cos(x)) / sin(x) = sin²(x)
since tan(x) and cos(x)/sin(x) = 1/tan(x) will cancel.
Answer:
Multiplying or dividing both sides by a negative number changes the direction of an inequality. So we cannot multiply or divide both sides by a variable unless we know that the variable is either always positive or always negative. This is not a concern when solving equalities.
When applying a decreasing function to both sides of an inequality, the direction of the inequality changes.
Swapping both sides of an inequality also changes the direction of an inequality. Again we don't have to worry about this with equalities.
