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andriy [413]
3 years ago
6

MARKING BRAINLIEST FOR BEST ANSWER!! 30 PTS if u answer!

Mathematics
1 answer:
Kazeer [188]3 years ago
4 0

Answer:

(-1,-2)?

Step-by-step explanation:

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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
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Answer:

The area of the end is 1755.44 ft²

Therefore, the maximum error in calculating area of the end is 8.3592

Step-by-step explanation:

Consider the provided information.

The length of the base is measured to be 35 feet, with a maximum error in measurement of 1 inch,

1\ inch = \frac{1}{12}\ feet

The area of shape = Area of square + Area of equilateral triangle

A=x^2+\frac{\sqrt{3}}{4}x^2

Substitute x=35 in above.

A=(35)^2+\frac{\sqrt{3}}{2}\times (35)^2=1755.44

Hence, the area of the end is 1755.44 ft²

Differentiate A=x^2(1+\frac{\sqrt{3}}{4}) with respect to x as shown:

dA=2x\ dx(1+\frac{\sqrt{3}}{4})

Substitute dx =1/12 and x=35

dA=2(35)\ \frac{1}{12}(1+\frac{\sqrt{3}}{4})=8.3592

Therefore, the maximum error in calculating area of the end is 8.3592

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