Answer:
1 over 8
1
8
=0.125
Step-by-step explanation:
Angle is 90°
The sector is 1/4 th of circle
Area of sector
Triangle is right angled
Area
Area of unshaded region
- 4π-8
- 4(π-2)
- 4(3.14-2)
- 4(1.14)
- 4.56in²
If you have at least as many equations as your have unknown variables, the 'system' is solvable (unless the equations are copies of eachother).
In this case, isolate one letter and plug it in the other. I'm going for the 2a in the bottom one (it doesn't matter)
2a - 4b = 12 => (divide by two and move the b's to the other side)
a = 6 + 2b. (plug this one into the top equation)
4(6+2b) + 6b = 10 => 24+8b+6b = 10 => 24 + 14b = 10 => 14b = -14 => b=-1
a = 6 + -2 = 4.
So a=4 and b=-1.
First you have to find the area of the WHOLE BOX. So you multiply,
8×7=56
Then find the area of the small box,
5×4=20
It says take away the area of the small box from the whole box and you should do just that: 56-20=36
The area of the shaded region is 36cm²