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Step2247 [10]
3 years ago
8

paul says that the area of a triangle with base 16 meters and height 5 meters is 80 square meters paula says that the area is 40

square meters who is correct
Mathematics
1 answer:
rosijanka [135]3 years ago
3 0

Paul forgot to divide by 2. The area of a triangle is A = 1/2 * b * h

Paul just multiplied the Base and height together. 5*16 = 80.

Paula used the formula correctly. The answer is 40 square meters.

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Assume z = x + iy, then find a complex number z satisfying the given equation. d. 2z8 – 2z4 + 1 = 0
kodGreya [7K]

Answer: complex equations has n number of solutions, been n the equation degree. In this case:

Z=\frac{\sqrt[8]{2} }{\sqrt[4]{2}} e^{i11,25°}

Z=\frac{\sqrt[8]{2} }{\sqrt[4]{2}} e^{i101,25°}

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Z=\frac{\sqrt[8]{2} }{\sqrt[4]{2}} e^{i348,75°}

Step-by-step explanation:

I start with a variable substitution:

Z^{4} = X

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Solving the quadratic equation:

X_{1} =\frac{2+\sqrt{4-4*2*1} }{2*2} \\X_{2} =\frac{2-\sqrt{4-4*2*1} }{2*2}

X=\left \{ {{0,5+0,5i} \atop {0,5-0,5i}} \right.

Replacing for the original variable:

Z=\sqrt[4]{0,5+0,5i}

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Solving for the modulus and the angle:

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The possible angle respond to:

RAng_{12...n} =\frac{Ang +360*(i-1)}{n}

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In this case n=4 with 2 different angles: Ang = 45º and Ang = 315º

Obtaining 8 different angles, therefore 8 different solutions.

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Step-by-step explanation:

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