Use the discriminant (b^2-4ac)
a=1, b=0, c=-7
0^2-4(1)(-7)
0-4(-7)
0+28
28
Since 28>1, there are 2 solutions.
Final answer: B
Diameter= 2*radius
=36*2
=72m
![\qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star](https://tex.z-dn.net/?f=%20%5Cqquad%20%5Cqquad%20%20%5Cbf%20%5Chuge%5Cstar%20%5C%3A%20%20%5C%3A%20%20%5Clarge%7B%20%20%5Cunderline%7BAnswer%7D%20%7D%20%20%5Chuge%20%5C%3A%20%20%5C%3A%20%5Cstar)
Area of shaded region = 34 cm²
![\textsf{ \underline{\underline{Steps to solve the problem} }:}](https://tex.z-dn.net/?f=%5Ctextsf%7B%20%20%5Cunderline%7B%5Cunderline%7BSteps%20to%20solve%20the%20problem%7D%20%7D%3A%7D)
Area of shaded region = Area of bigger rectangle - Area of smaller rectangle.
Area (big) :
![\qquad❖ \: \sf \:13 \times 6](https://tex.z-dn.net/?f=%20%5Cqquad%E2%9D%96%20%5C%3A%20%20%5Csf%20%5C%3A13%20%5Ctimes%206)
![\qquad❖ \: \sf \:78 \: \:c m {}^{2}](https://tex.z-dn.net/?f=%20%5Cqquad%E2%9D%96%20%5C%3A%20%20%5Csf%20%5C%3A78%20%5C%3A%20%20%5C%3Ac%20m%20%7B%7D%5E%7B2%7D%20)
Area (small) :
![\qquad❖ \: \sf \:11 \times 4](https://tex.z-dn.net/?f=%20%5Cqquad%E2%9D%96%20%5C%3A%20%20%5Csf%20%5C%3A11%20%5Ctimes%204)
![\qquad❖ \: \sf \:44 \: \: cm {}^{2}](https://tex.z-dn.net/?f=%20%5Cqquad%E2%9D%96%20%5C%3A%20%20%5Csf%20%5C%3A44%20%5C%3A%20%20%5C%3A%20cm%20%7B%7D%5E%7B2%7D%20)
Area of shaded region :
![\qquad❖ \: \sf \:78 - 44](https://tex.z-dn.net/?f=%20%5Cqquad%E2%9D%96%20%5C%3A%20%20%5Csf%20%5C%3A78%20-%2044)
![\qquad❖ \: \sf \:34 \: \: cm {}^{2}](https://tex.z-dn.net/?f=%20%5Cqquad%E2%9D%96%20%5C%3A%20%20%5Csf%20%5C%3A34%20%5C%3A%20%20%5C%3A%20cm%20%7B%7D%5E%7B2%7D%20)
![\qquad \large \sf {Conclusion} :](https://tex.z-dn.net/?f=%20%5Cqquad%20%5Clarge%20%5Csf%20%7BConclusion%7D%20%20%3A%20)
Area of shaded region = 34 cm²
C= cat d=dog
(7+c) + d =45
-7 -7
c+d= 38/2 = 19
so there are 19 dogs and 26 cats (19+7)
Divide then multiply by 100:
280 / 3500 = 0.08
0.08 x 100 = 8%
Answer: 8%