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2 years ago

A plot of land is an irregular triangle with a base of 112 feet and a height of 47 feet. What is the area of the plot?

1 answer:

4 0

Final answer: 2632 square feet

Any triangle’s area is

1/2xbasexheight

The question gives you both so just multiply em

1/2x 112x 47 = 2632 square feet

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Marina86 [1]

Answer:

See below

Step-by-step explanation:

$\dfrac{d}{dx} (\tan^3 x) = 3\sec^4 x - 3\sec^2 x$

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$\dfrac{d}{dx}\tan x=\sec^2$

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$\dfrac{dy}{dx}= \dfrac{dy}{du} \dfrac{du}{dx}$

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$\boxed{\dfrac{d}{dx} x^n = nx^{n-1}}$

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Now, once

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$\dfrac{d}{dx} (\tan^3 x) = 3\sec^4 x - 3\sec^2 x$

================================================

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$\int \sec^4 x\, dx$

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$\boxed{\sec^2 x - 1= \tan^2x}$

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and

$\int \sec^2 x \tan^2x+\sec^2 x\,dx = \int \sec^2 x \tan^2x\,dx + \int \sec^2 x\,dx$

Considering $u = \tan x$

and then $du=\sec^2x\ dx$

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$\int u^2 \, du = \dfrac{u^3}{3}+C$

Therefore,

$\int \sec^2 x \tan^2x\,dx + \int \sec^2 x\,dx = \dfrac{\tan^3 x}{3}+\tan x + C$

$\boxed{\int \sec^4 x\, dx = \dfrac{\tan^3 x}{3}+\tan x + C }$

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2 years ago

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Olenka [21]

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3 years ago

A plot of land is an irregular triangle with a base of 112 feet and a height of 47 feet. What is the area of the​ plot?

A plot of land is an irregular triangle with a base of 112 feet and a height of 47 feet. What is the area of the plot?