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tekilochka [14]
3 years ago
12

How do I work this out?

Mathematics
1 answer:
Viktor [21]3 years ago
8 0
Area of the shaded part is given by:
A=(area of the sector)-(area of triangle)
A=(θ/360πr²)-(1/2sinθab)
A=(120/360*π*6²)-(0.5*6²*sin120)
A=12π-15.59
A=22.1 cm²

Answer: A=22.1 cm²
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PLSSSS HELPPP&gt;&gt; Show work solve the sysytem- y=1/2x^2+4x+4 y=-4x+12 1/2
vekshin1

Answer:

The solution is (-17,80.5) and (1,8.5)

Step-by-step explanation:

Equation 1 : y=\frac{1}{2}x^2+4x+4

Equation 2: y = -4x+12.5

Substitute the value of y from equation 2 in equation 1

Equation 1 : y=\frac{1}{2}x^2+4x+4

After substitution :

-4x+12.5=\frac{1}{2}x^2+4x+4\\\frac{1}{2}x^2+8x+4-12.5=0\\\frac{1}{2}x^2+8x-8.5=0\\x^2+16x+17=0\\x=-17,2

Substitute the value of x = -17

y = -4x+12.5

y = -4(-17)+12.5

y=80.5

Substitute the value of x = 1

y = -4(1)+12.5

y=8.5

Hence the solution is (-17,80.5) and (1,8.5)

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