Answer: 5 inches
Step-by-step explanation:
Given: Volume of clay = 48 cubic inches
If we make a solid square right pyramid with a base edge a= 6 inches.
Then its base area = 
we know that volume of square right pyramid=
Therefore, volume of square right pyramid made by all of clay=
=48 cubic inches
![\Rightarrow\frac{1}{3}\times\ (36)\times\ h=48\\\Rightarrow12h=48\\\Rightarrow\ h=4\ inches.....\text{[Divide 12 on both sides]}](https://tex.z-dn.net/?f=%5CRightarrow%5Cfrac%7B1%7D%7B3%7D%5Ctimes%5C%20%2836%29%5Ctimes%5C%20h%3D48%5C%5C%5CRightarrow12h%3D48%5C%5C%5CRightarrow%5C%20h%3D4%5C%20inches.....%5Ctext%7B%5BDivide%2012%20on%20both%20sides%5D%7D)
Now, slant height 

The slant height of the pyramid if Helen uses all the clay=5 inches
<span>a. direct variation
A relationship between two variables in which one is a constant multiple of the other. </span>
She wants to use 3/4 of the recipe and 3/4 of a cup 4 times equals three cups. Three cups is 3/4 of 4 cups.
For each of these questions, you need to find the derivative
or
. The slope of the tangent to these curves at the point
is the value of
when
and
. It's also important to know that if the slope of a line is
, then the slope of any line normal/perpendicular to this line is
.
###

The derivative is


When
, we get a slope of

###

The derivative is

and so the tangent line at (1, 9) has slope

The line normal to this has slope
. The point-slope and slope-intercept forms of this line are

###

The derivative is

so the slope of any line tangent to the curve is 9. The line that passes through (3, 4) is
