Mathematics: The end of a house has the shape of a square surmounted by an equilateral triangle. if the length of the base is measured to be 33 feet, with a maximum error in measurement of 1 inch, calculate the area of the end. (round your answer to two decimal places.)

The end of a house has the shape of a square surmounted

Ответ:

griseldaguerree

11.03.2022

1560.55 ft

Step-by-step explanation:

Both the sides of equilateral triangle and square are represented by x as shown in the sketch (attached). The height of equilateral triangle will be given by

$h=\sqrt {x^{2}-(0.5x)^{2}}=\sqrt {0.75x^{2}}=\sqrt {\frac {3}{4}}=\frac {\sqrt {3}}{2}x$

Area of rectangle= $0.5*x*\frac {\sqrt {3}}{2}x=\frac {\sqrt {3}}{4}x^{2}$

Area of square=x*x=x^{2}

Total area is $x^{2}+\frac {\sqrt {3}}{4}x^{2}$

Total area is $x^{2}(1+\frac {\sqrt {3}}{4})$ and substituting x with 33 ft we obtain

$Area=(33)^{2}(1+\frac {\sqrt {3}}{4})\approx 1560.55 ft^{2}$

The end of a house has the shape of a square surmounted by an equilateral triangle. if the length of

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Ответ:

xxchloekai

12.01.2021

Mathematics

Step-by-step explanation:

The tangent- tangent angle x is half the difference of the intercepted arcs.

The sum of the 2 arcs on the circle = 360°, thus

lower arc = 360° - 243° = 117°, then

x = $\frac{1}{2}$ (243 - 117)° = 0.5 × 126° = 63°

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The end of a house has the shape of a square surmounted by an equilateral triangle. if the length of the base is measured to be 33 feet, with a maximum error in measurement of 1 inch, calculate the area of the end. (round your answer to two decimal places.)

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