The best estimate for the circumference of a 19.875 diameter barrel would be 5ft.
Answer: 5ft
~Lillyprince
Answer:
2 pieces
Step-by-step explanation:
Given
![Length = 1\frac{2}{3}m](https://tex.z-dn.net/?f=Length%20%3D%201%5Cfrac%7B2%7D%7B3%7Dm)
![Pieces = \frac{3}{4}m](https://tex.z-dn.net/?f=Pieces%20%3D%20%5Cfrac%7B3%7D%7B4%7Dm)
Required
Calculate the number of pieces
To do this, we have to divide the length of the wood by the length of each piece.
Represent this with x
![x= \frac{Length}{Pieces}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7BLength%7D%7BPieces%7D)
![x= 1\frac{2}{3}/\frac{3}{4}](https://tex.z-dn.net/?f=x%3D%201%5Cfrac%7B2%7D%7B3%7D%2F%5Cfrac%7B3%7D%7B4%7D)
Convert mixed numbers to improper fraction
![x= \frac{5}{3}/\frac{3}{4}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B5%7D%7B3%7D%2F%5Cfrac%7B3%7D%7B4%7D)
Change division to multiplication
![x= \frac{5}{3}*\frac{4}{3}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B5%7D%7B3%7D%2A%5Cfrac%7B4%7D%7B3%7D)
![x= \frac{20}{9}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B20%7D%7B9%7D)
![x = 2.22](https://tex.z-dn.net/?f=x%20%3D%202.22)
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Answer:
predicted GPA=9.21, residual= 1.36, a correct value of slope would be 0.09
Step-by-step explanation:
y=0.1x -3.49
y: GPA
x: IQ
y=0.1(127)-3.49
y= 9.21
Predicted GPA= 9.21
residual= 9.21- 7.85= 1.36
The equation doesn't model the exact relationship between GPA and IQ.
A better slope value could be
7.85= m(127)-3.49
m=0.09
We will use the angle bisector theorem here for
. ED being the angle bisector.
Thus, from the diagram we will have:
![\frac{HD}{DG} =\frac{EH}{EG}](https://tex.z-dn.net/?f=%20%5Cfrac%7BHD%7D%7BDG%7D%20%3D%5Cfrac%7BEH%7D%7BEG%7D%20%20)
We will now plug in the values given in the diagram.
![\frac{35}{x+4} =\frac{56}{44.8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B35%7D%7Bx%2B4%7D%20%3D%5Cfrac%7B56%7D%7B44.8%7D%20%20)
![x+4=\frac{35\times 44.8}{56}](https://tex.z-dn.net/?f=%20x%2B4%3D%5Cfrac%7B35%5Ctimes%2044.8%7D%7B56%7D%20%20)
![x+4=28](https://tex.z-dn.net/?f=%20x%2B4%3D28%20)
![x=24](https://tex.z-dn.net/?f=%20x%3D24%20)
Answer:
52 serves landed out
Explanation:
If you divide the number of serves in by 2 ( number that he lands in for every 6 serves) and then multiply by 4 ( number that land out for every 6 serves), you get 52 serves out.