Answer:
72 minutes!
Step-by-step explanation:
We can form the linear equation :
y = 0.06x + 8
y = 12.32
12.32 = 0.06x + 8
4.32 = 0.06 x
x = 72
tadah!
<h3>
Answer: 920</h3>
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Explanation:
The front face is a triangle with area of base*height/2 = 15*8/2 = 60 square feet.
The back face is identical to the front face, so we have another 60 square feet.
The left rectangular wall is 20 ft by 8 ft tall. Its area is 20*8 = 160 ft^2
The right slanted rectangular face is 20 ft by 17 ft. Its area is 20*17 = 340 ft^2
Lastly, the bottom rectangle floor is 15 ft by 20 ft to give an area of 15*20 = 300 ft^2
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To summarize so far
- Front face = 60 ft^2
- Back face = 60 ft^2
- Left face = 160 ft^2
- Right slanted face = 340 ft^2
- Bottom floor = 300 ft^2
Add up those areas to get the overall surface area.
60+60+160+340+300 = 920
Answer:
DOC = 70
BOC = 110
AOD = 110
Step-by-step explanation:
AOB is supplementary to BOC and AOD, which means together they equal 180. 180-70=110, so BOC and AOD are both 110.
AOB and DOC are vertical angles to each other, so are AOD and BOC. Vertical angles are always equal to each other. So since AOB is 70, so is DOC.
Hope this makes sense:)
The line to find: y = mx + b
the line perpendicular to y= 2/5x+6/6 so it has the slope m × 2/5 = -1
thus the slope m = -5/2
the line passes through the point (-2,6) so:
6 = (-5/2)×(-2) + b so b = 1
the equation of the line is y = -5/2x +1
Step-by-step explanation:
1. vertical angles. x = 5
2. supplementary x = 12
3. complementary x = 7
4 Supplementary x = 17
5. sQR = 118
RQT = 62
6 LNK = 47, JNM = 47
