Answer:

Step-by-step explanation:
Given



Find the length of HG
First, it should be noted that the displayed figure is a trapezium
<em>The area of a trapezium is calculated by multiplying the sum of parallel sides by half its height;</em>
In this case;

Substitute the values of Area, HE and EF


Divide both sides by 4


Subtract 12 from both sides



<em>Hence, the length of HG is 5mm</em>
Answer:

Step-by-step explanation:
We want to find the equation of the line tangent to the graph of:

So, we will find the derivative of our equation first. Applying the chain rule, we acquire that:

Simplify:

We can factor out the denominator within the square root:

Simplify:

So, we can find the slope of the tangent line at <em>x</em> = 5/2. By substitution:

Evaluate:

We will also need the point at <em>x</em> = 5/2. Using our original equation, we acquire that:

So, a point is (5/2, π/6).
Finally, by using the point-slope form, we can write:

Distribute:

Isolate. Hence, our equation is:

The value of 3 in 546300 is 300 times the value of 3 in 3,456 is 3,000
300*3,000 is 900000