The surface area would be all those areas combined. The shape has been split up into 6 smaller quadrilaterals, so we can easily solve from there. The leftmost one would be 3*4 = 12. The two rectangles beside it can be combined: 4*7 = 28, the one beside it would be: 3*4 = 12, and the last column would be 4*7 = 28. The last thing you need to do is add them together: 12+28+12+28 = 80.
The surface area of the rectangular prism is 80
I one is 8x<24 and -8≤2x-4
Hence x <24/8 =3 and -4≤2x: divide by positive 2 to get -2≤x
Hence solution is -2≤x<3
Therefore c is the correct matching for 1.
2) 5x-2>13 or -4x≥8
i.e. 5x>15 or x≤8/(-4) = -2 (since dividing by negative inequality reverses)
Or x>3 or x ≤-2
Hence solution is two regions to the right of 3 excluding 3 and left of -2 including -2.
Graph b is the correct match.
3) -25≤9x+2<20
Subtract 2
-27≤9x<18: Now divide by positive 9
-3≤x<2
Hence graph is the region between -3 and 2 including only -3.
Graph a is correct matching for question 3.
Answer:
e : g = 2 : 7
Step-by-step explanation:
e/f = 3/7
e = 3f/7
f/g = 2/3
g = 3f/2
e/g = (3f/7)/(3f/2) = 2/7
The answer is 1/1073741824 or about 9.313 * 10^-10
