Answer is attached below.
Yes it could be simplified to 2 girls every 1 boy but what you have is correct and I agree because if you divide each side by the corresponding number so 24/4 and 12/2 the both equal 6 so I agree
If you meant to write
, then using a calculator in radian mode would show ![\cos^{-1}(0.75) \approx 0.722734](https://tex.z-dn.net/?f=%5Ccos%5E%7B-1%7D%280.75%29%20%5Capprox%200.722734)
Rounding to the nearest hundredth gets us ![\cos^{-1}(0.75) \approx 0.72](https://tex.z-dn.net/?f=%5Ccos%5E%7B-1%7D%280.75%29%20%5Capprox%200.72)
area of OAB = 72 = (1/2) sin (AOB) * OA * OB solve the above for sin(AOB) to find sin(AOB) = 1/2 area of ODC = 288 = (1/2) sin (DOC) * OD * OD Note that sin(DOC) = sin(AOB) = 1/2, OD = 18 + y and OC = 16 + x and substitute in the above to obtain the first equation in x and y 1152 = (18 + y)(16 + x)...
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