Answer:

Step-by-step explanation:
To write any decimal as a fraction you divide by 1 and multiply by a number (ranging from 10, 100, 1000 etc.) that will make 0.46 a whole number, this will explain:
Let x = 
10x = 
100x =
this is our perfect fraction, now we simplify later
100x - 10x = 
90x =
this is to confirm both fractions are equal
x is the same as
as
as
but here x =
because a fraction has to have no decimals.
So 0.46 is equal any of these values, as a fraction, on the other hand, it's improperly equal to
here I divided by 2 to bring down the proper fraction. (fraction at its simplest form)
72 % of 300 is 216
Divide 216 ( # of boxes unloaded ) by 30 (minutes they were unloading)
216 / 30 = 7.2
They unloaded 7.2 boxes each minute.
**DOUBLE CHECK:
Multiply 7.2 by 30
7.2*30 = 216
Answer : 7.2 boxes/minute
the domain of a function is the domain of its inverse -- This is False.
Answer:
Length of the side opposite to angle
is 31.49
Step-by-step explanation:
Included angle can be defined as the angle in between two sides of the triangle.
So angle
is in between sides 16 and 21.
Refer to the attachment for triangle diagram.
To find the length of opposite side, use cosine rule as follows

From the diagram, 
Substituting the values in the formula,

Simplifying,


Taking square root on both sides,


Therefore length of third side is 31.49
Answer:
b=-3
Step-by-step explanation:
4b+3=-9
-3 -3
subtract 3 from both sides like so. 3-3 cancels out. -9-3=-12.
4b=-12
youre left with 4b=12 so DIVIDE 4b by 4 and -12 by 4
4b/4=-12/4
4b divided by 4 is 1. -12 divided by 4 is -3
b=-3
plug -3 in for b to make sure its correct
4(-3)+3=-9
-12+3=-9
-9=-9