Answer:
1,305 remainder 0
6 7 8 3 0
− 6
1 8
− 1 8
0 3
− 0
3 0
− 3 0
0
Step-by-step explanation:
Answer:
34
Step-by-step explanation:
3n + 7 = 5n -11 (because of SAS)
-2n = -18
n = 9
yZ = 3(9)+7 = 34
point 1 = ( -1 , 5 ) point 2 = ( 5 , -5 )
equation of a line: y = mx + b
Find Slope (m):
( 5 - (-5)) / (-1 - 5))
= 10 / -6
= -3 / 2
slope = -3/2
Find y-intercept (b):
y = mx + b
y = -3/2 * x + b
5 = -3/2 * -1 + b <-------------- use the x and y coordinate of one of the . points. I used point 1 ( -1 , 5 )
b = 7/2 or 3.5
Assemble:
y = -3/2 * x + 3.5
Answer:
10x -4
Step-by-step explanation:
3+2(5x)-7
Multiply
3 +10x -7
Combine like terms
10x -4
Answer: 3060 ft^2
Step-by-step explanation:
We will calculate the surface area of the rectangular prism and the triangular prism separately and then subtract off the face that isn't on the surface.
For the rectangular prism:
SA= Ph + 2B
P = 36+36+10+10
P = 92
B = 36*10 = 360
SA = 92*20+2*360
SA = 1840+720
SA = 2560
We subtract off the face on the right of the rectangular prism because it isn't on the surface so we get 2560-200 = 2360
Now for the triangular prism:
SA= Ph + 2B
P = 15+20+25
P = 60
B = 15*20/2
B = 150
SA = 60*10+2*150
SA = 600+300
SA = 900
Again we subtract off the face on the left bescause it's not on the surface so we get 900-200 = 700
Therefore, the total surface area = 2360+700 = 3060 ft^2
