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Airida [17]
3 years ago
13

If k = am+3mx what is the value of m in terms of x Please help

Mathematics
1 answer:
worty [1.4K]3 years ago
5 0

Answer:

k = am + 3mx

Group by taking common factor m

k = m(a + 3x)

Divide both sides by (a +3x)

k / (a+3x) = m

Then, m = k / (a+3x). This is the answer

Step-by-step explanation:

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The area of shaded region is

A_{shaded}=A_{circle}-A_{segment}.

Find the area of circle and segment:

A_{circle}=\pi r^2=\pi (8.35)^2=69.7225\pi=219.0397,\\ A_{segment}=A_{sector}-A_{triangle},\\ \\A_{sector}=\dfrac{r^2 \alpha}{2} =\dfrac{(8.35)^2\cdot \frac{5}{9}\pi}{2}=19.3674\pi=60.8445,\\ \\A_{triangle}=\dfrac{1}{2}r^2\sin \alpha=\dfrac{1}{2}(8.35)^2\sin 100^{\circ}=34.3316,\\  \\A_{segment}=60.8445-34.3316=26.5129.

Then A_{shaded}=A_{circle}-A_{segment} =219.0397-26.5129=192.5268.

The area of shaded region rounded to the nearest tenth is 192.5 sq. ft.

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