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
Answer:
100.26
Step-by-step explanation:
You would find the area of the semi circles on either side of the rectangle by plugging the diameter into the formula for the area of a circle. Then you would add that to the are of the rectangle.
This is what that would look like:
1. Divide 6 (the diameter) by 2 because 
2. plug into the formula 
3. square the 3
4. multiply 9 by 3.14 (pi)
This means the area of both the semi circles added together would equal 28.26
Then you would use the formula 
to find the area of the rectangle
1. plug in the numbers given
· 
2. solve
Then add the area of the semicircles to the area of the rectangle
to get the area of the entire figure:
Answer:
Step-by-step explanation:
The first method is by plotting points and then dreaming a line through the points. The second is by using the y intercept and slope the third is applying transformation to the identity function. F(x)=x(x)=x
Answer: it is a direct variation.
Justification:
In a direct variation the variables are related by a proportionality constant in this way:
y = k x
Tthan means that the value of y is always the product of a constant times the value of x.
The situation discribed for the coal may be written as:
number of tons of coal burned: c
number of hours: h
⇒ c = k × h
Which is that you can calcualte the number of tons of coal burned at any time, once you know the proportionality constant k.
The workings to the answers are in the attachments below. Open them up in a new window to see them in full.
Lowest Point On The Graph:
(4.480878208, -61.32441280)
Highest Point On The Graph:
(1.155422854, 17.23818241)
2nd Lowest Point On The Graph:
(-0.3863010618, 7.23076164)
