Answer:
14 panels
Step-by-step explanation:
Area of four walls is given by 2*(length + width)*height
_______________________________________
Given dimension
Length = 16 feet
width = 12 feet
height = 8 feet
Thus, area of four walls of office = 2(16+12)8= 448
_____________________________________________
dimension of paneling sheets
length = 8 feet
width = 4 feet
area of paneling sheets = 8*4 = 32 sq. feet
Let the number of paneling sheets required by n
thus, total area of n paneling sheets = n*area of paneling sheets = 32n
This, area of paneling sheets (32n) should be same as 448 area of four walls
as given " I have 4 feet by 8 feet paneling sheets for the walls"
thus,
32n = 448
n = 448/32 = 14
Thus, 14 panels are needed.
Answer:
C. yes; k = 13; the cost of one ticket is $13; $182
Step-by-step explanation:
26/2 = 13
k = 13
Hope this helps!
Answer:
3 :5
Step-by-step explanation:
A deli orders ham and turkey.
The ratio of the number of ham slices to the number of turkey slices is 2:3.
Hence:
Ham slices: Turkey slices
2:3
Sum of proportion = 2 + 3 = 5
Ratio of turkey slices = 3
Ratio of the total of ham and turkey slices = sum of proportion = 5
Therefore, the ratio of the number of turkey slices to the total of ham and turkey slices is
3:5
Answer:
Part 1) ![RS=\sqrt{34}\ units](https://tex.z-dn.net/?f=RS%3D%5Csqrt%7B34%7D%5C%20units)
Part 2) ![CD=\sqrt{125}\ units](https://tex.z-dn.net/?f=CD%3D%5Csqrt%7B125%7D%5C%20units)
Part 3) The coordinates of endpoint C are (13,5)
Step-by-step explanation:
Part 1) The endpoints of line RS are R(1, -3) and S(4,2). Find RS
we now that
the formula to calculate the distance between two points is equal to
![d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28y2-y1%29%5E%7B2%7D%2B%28x2-x1%29%5E%7B2%7D%7D)
substitute the values
![RS=\sqrt{(2+3)^{2}+(4-1)^{2}}](https://tex.z-dn.net/?f=RS%3D%5Csqrt%7B%282%2B3%29%5E%7B2%7D%2B%284-1%29%5E%7B2%7D%7D)
![RS=\sqrt{(5)^{2}+(3)^{2}}](https://tex.z-dn.net/?f=RS%3D%5Csqrt%7B%285%29%5E%7B2%7D%2B%283%29%5E%7B2%7D%7D)
![RS=\sqrt{34}\ units](https://tex.z-dn.net/?f=RS%3D%5Csqrt%7B34%7D%5C%20units)
Part 2) The endpoints of line CD are C(-8,-1) and D(2,4). Find CD
we now that
the formula to calculate the distance between two points is equal to
![d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28y2-y1%29%5E%7B2%7D%2B%28x2-x1%29%5E%7B2%7D%7D)
substitute the values
![CD=\sqrt{(4+1)^{2}+(2+8)^{2}}](https://tex.z-dn.net/?f=CD%3D%5Csqrt%7B%284%2B1%29%5E%7B2%7D%2B%282%2B8%29%5E%7B2%7D%7D)
![CD=\sqrt{(5)^{2}+(10)^{2}}](https://tex.z-dn.net/?f=CD%3D%5Csqrt%7B%285%29%5E%7B2%7D%2B%2810%29%5E%7B2%7D%7D)
![CD=\sqrt{125}\ units](https://tex.z-dn.net/?f=CD%3D%5Csqrt%7B125%7D%5C%20units)
Part 3) The midpoint of line AC is M(5,6). One endpoint is A(-3,7). Find the coordinates of endpoint C
The formula to calculate the midpoint between two points is equal to
![M=(\frac{x1+x2}{2},\frac{y1+y2}{2})](https://tex.z-dn.net/?f=M%3D%28%5Cfrac%7Bx1%2Bx2%7D%7B2%7D%2C%5Cfrac%7By1%2By2%7D%7B2%7D%29)
Let
(x2,y2)-------> the coordinates of point C
(x1,y1) -------> the coordinates of point A
substitute the given values
![(5,6)=(\frac{-3+x2}{2},\frac{7+y2}{2})](https://tex.z-dn.net/?f=%285%2C6%29%3D%28%5Cfrac%7B-3%2Bx2%7D%7B2%7D%2C%5Cfrac%7B7%2By2%7D%7B2%7D%29)
write the equations
![\frac{-3+x2}{2}=5\\ \\-3+x2=10\\ \\ x2=10+3\\ \\x2=13](https://tex.z-dn.net/?f=%5Cfrac%7B-3%2Bx2%7D%7B2%7D%3D5%5C%5C%20%5C%5C-3%2Bx2%3D10%5C%5C%20%5C%5C%20x2%3D10%2B3%5C%5C%20%5C%5Cx2%3D13)
![\frac{7+y2}{2}=6\\\\ 7+y2=12\\ \\ y2=12-7\\ \\y2=5](https://tex.z-dn.net/?f=%5Cfrac%7B7%2By2%7D%7B2%7D%3D6%5C%5C%5C%5C%207%2By2%3D12%5C%5C%20%5C%5C%20y2%3D12-7%5C%5C%20%5C%5Cy2%3D5)
therefore
The coordinates of endpoint C are (13,5)
Hello,
y=2x+1
x=2y+1 exchange x and y
==>2y=x-1 solve for y
==>y=(x-1)/2
==>y=x/2-1/2
Answer A