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2 years ago

Triangle angle sum theorem

Mathematics

2 answers:

Gekata [30.6K]2 years ago

5 0

Z will be equal to 16. here’s my work

lubasha [3.4K]2 years ago

4 0

Answer:

z = 16°

Step-by-step explanation:

The sum of angles in a triangle is 180°

∠1 + ∠2 + ∠3 = 180°

(z + 29°) + 55° + 5z = 180°

Collect like terms;

6z + 84° = 180°

Subtract 84° from both sides;

6z = 96°

Divide both sides by 6;

z = 16°

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scZoUnD [109]

Answer:

The break-even sales amounts is 36 or 224.

Step-by-step explanation:

Consider the provided function.

$P= -5x^2 + 13x - 4$

Where x is the number of televisions sold (in hundreds) and P is the profit.

We need to calculate the break-even sales amounts.

the break-even sales amounts is the sales amounts that result in no profit or loss.

That means substitute P=0 and solve for x.

$-5x^2 + 13x - 4=0$

$5x^2-13x+4=0$

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Substitute a=4, b=-13 and c=4 in above formula.

$x_{1,\:2}=\frac{-\left(-13\right)\pm \sqrt{\left(-13\right)^2-4\cdot \:5\cdot \:4}}{2\cdot \:5}$

$x_{1,\:2}=\frac{13\pm\sqrt{169-80}}{10}$

$x_{1,\:2}=\frac{13\pm\sqrt{89}}{10}$

$x=\frac{13+\sqrt{89}}{10},\:x=\frac{13-\sqrt{89}}{10}\\x\approx2.243, \ or\ x\approx 0.357$

Therefore, the break-even sales amounts is 36 or 224.

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Diano4ka-milaya [45]

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