Answer:
48 cups
Step-by-step explanation:
4 gallons = 64 cups
1 gallon = 64 ÷ 4
1 gallon = 16 cups
3 gallons = 16 * 3 = 48 cups
Question:
Prove that:

Answer:
Proved
Step-by-step explanation:
Given

Required
Prove

Subtract tan(10) from both sides


Factorize the right hand size

Rewrite as:

Divide both sides by 


In trigonometry:

So:
can be expressed as: 
gives


In trigonometry:

So:

Because RHS = LHS
Then:
has been proven
Answer:
729 divided by x
Step-by-step explanation:
Solution of 8 x 4 - 4 divided by 2 +1 is 9.33
<h3><u>Solution:</u></h3>
Given that,
8 x 4 - 4 divided by 2 +1
We have to compute the above equation
Let us write the given sentence mathematically:

Let us BODMAS rule to solve the above expression
According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right.
So let us first perform multiplication of 8 and 4 in numerator

Now we can perform addition of 2 and 1 in denominator

Now we can perform subtraction of 4 from 32 in numerator

Now perform division of 28 by 3

Thus solution of 8 x 4 - 4 divided by 2 +1 is 9.33
We have been given the expression to be 
Since we need to find the tangent at a point, we will have to find the derivative of
as the slope of the tangent at a given point on the curve is always equal to value of the derivative at that point.
Thus, we have to find 
We will use the product rule of derivatives to find 
Thus,
(using the product rule which states that
)
Taking the common factors out we get:


Thus,
at
is given by:
=Slope of the tangent of y at x=4=
Thus, 
Now, the equation of the tangent line which passes through
and has slope m is given by:

Thus, the equation of the tangent line which passes through
and has the slope 185 is
Which can be simplified to 
Thus, 
This is the required equation of the tangent.