A^2+b^2= 15^2
b=a-3
Use substitution
a^2+(a-3)^2= 225
a^2+a^2-6a+9=225
2a^2-6a=-216
2a^2-6a+216=0
2(a^2-3a+108)
2(a-12)(a+9)
(a-12)=0
a=12
(a+9)=0
a=-9
A is -9 or 12, but since an object can't have a negative length or width, a must be 12.
Plug this value of a in.
b=(12)-3
b=9
Final answer: Length=9, width=12
Answer: she needs to babysit 4 more times.
Step-by-step explanation:
Answer:
75%
Step-by-step explanation:
The area of a parallelogram is base times height.
We can find the height by deriving a right triangle from the 60 degree angle and the 6 cm hypotenuse
sin(60°) = opp/hyp = x/6
√3/2 = x/6 Multiply both sides by 6
3√3 = x
x = 3√3
The height is 3 √3
Area = base x height
Area = 3√3 * 8
Area = 24 √3 cm²
Answer is C) 24 √3 cm²
