Option B) Determine the volume of the cake V= πr²h and divide that amount by 18
<u>Step-by-step explanation:</u>
- It is given that, the birthday cake is in the shape of the cylinder.
- Therefore, to find the entire volume of the cake, the volume of the cylinder formula is used.
<u>The volume of the cylinder is given by,</u>
Volume of the birthday cake = πr²h
After that, it was asked to find the volume of each piece of the cake.
In this case, the birthday cake is cut into 18 pieces.
We already know the total volume of the birthday cake which is πr²h.
In order to find the volume of each piece of cut cake, the total volume must be divided by the number of parts it has been cut into pieces.
Here, the whole part of the cake is 1.
The number of parts it has been divided after it is made into pieces = 18 parts.
Therefore, the volume of the birthday cake must be divided by 18 to get the volume of each piece of cake.
Option B) Determine the volume of the cake V= πr²h and divide that amount by 18 is correct.
Answer:
The interpolating polynomial is 
.
Step-by-step explanation:
We want to find a quadratic polynomial 
such that 
, 
and 
. In order to do this let us write 
.
Now, evaluating the polynomial in the points -1, 1 and 2 we get
This relations give us a linear system of equations:
where the 
, 
and 
are the unknowns.
The augmented matrix of the system is
In this matrix it is easy to eliminate the 1's of the first column and get
From this matrix we can find the values of each unknown. Notice that the second row gives us 
that yields 
.
Then, the third row means 
that gives 
. So, 
.
Finally, the first row is 
and substituting is 
that yields 
.
Therefore, the interpolating polynomial is
.
We divide by 2 on both sides.
We get the final answer as
x = 5/2 = 2.5
13. To find the angle of WZY you would have to grab the angle of a straight line (180) and subtract it from the already shown angle of 105. 180 - 105 = 75. 75 is the measure of WZY
14. WZ has a measure of 24 since the parallel side is also 24 (not too sure about this one)
15. XYZ Has the same angle as its corresponding angle of 105. The angle is also 105
Answer:
1000+ 300+ 70+ 8=1378
Step-by-step explanation:
