The area of a circular segment is given by
.. A = (1/2)r^2*(θ -sin(θ)) . . . . . . . . . θ in radians
.. = (1/2)*(27.8 in)^2*(5π/6 -sin(5π/6))
.. ≈ 818.4 in^2

6 0

3 years ago

If a 4-meter flagpole casts a shadow of 6 meters at the same time that a nearby building casts a 24-meter shadow, how tall is th

Lesechka [4]

The building is 16 feet tall

8 0

3 years ago

Split <img src="https://tex.z-dn.net/?f=%284ax-a%5E2%29%2F%28x%5E2%2Bax-2a%5E2%29" id="TexFormula1" title="(4ax-a^2)/(x^2+ax-2a^

IRISSAK [1]

The decomposition of the partial fraction is $\frac{4ax-a^2}{(x+ 2a)(x-a)} = \frac{A}{x + 2a} + \frac{B}{x - a}$

<h3>How to split the fraction?</h3>

The expression is given as:

$\frac{4ax-a^2}{x^2+ax-2a^2}$

Expand the denominator

$\frac{4ax-a^2}{x^2- ax+2ax-2a^2}$

Factorize

$\frac{4ax-a^2}{x(x- a)+2a(x-a)}$

Factor out x - a

$\frac{4ax-a^2}{(x+ 2a)(x-a)}$

The denominator of the partial fraction is a product of two linear factors.

So, the decomposition can be represented as:

$\frac{4ax-a^2}{(x+ 2a)(x-a)} = \frac{A}{x + 2a} + \frac{B}{x - a}$

Read more about partial fractions at:

brainly.com/question/18958301

#SPJ1

8 0

2 years ago