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Pachacha [2.7K]
3 years ago
5

Monica has a triangular piece of fabric. The height of the triangle is 19 inches and the triangle's base is 18 inches. Monica sa

ys that the area of the fabric is 342 in2. What error did Monica make? Explain your answer by entering the correct area of the fabric
Mathematics
1 answer:
Olenka [21]3 years ago
5 0
She used the area of a square formula instead of area of a rectangle. she should have done A =(1/2)(19)(18) and gotten 171 in^2
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Write the standard form of an equation of an ellipse subject to the given conditions.
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Answer:

The answer is below

Step-by-step explanation:

The standard form of the equation of an ellipse with major axis on the y axis is given as:

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Where (h, k) is the center of the ellipse, (h, k ± a) is the major axis, (h ± b, k) is the minor axis, (h, k ± c) is the foci and c² = a² - b²

Since the minor axis is at (37,0) and (-37,0), hence k = 0, h = 0 and b = 37

Also, the foci is at (0,5) and (0, -5), therefore c = 5

Using c² = a² - b²:

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a² = 37² + 5² = 1369 + 25

a² = 1394

Therefore the equation of the ellipse is:

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6 0
3 years ago
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59 is a rational number
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