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kodGreya [7K]
3 years ago
6

The height of a triangle is 2 m more than twice the length of the base. The area of the triangle is 3o m square. Find the height

of the triangle
Mathematics
1 answer:
Keith_Richards [23]3 years ago
5 0

Answer:

60m

Step-by-step explanation:

height =2+2×(let x be the length of the base)

area=1/2bh

30=1/2(2+2×)

30=2/2+2×/2

30=1+2×/2

30=1+×

30-1=×

29=

height=2+2×

2+2(29)

2+58

60

therefore the height is 60m

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Electric charge is distributed over the disk x2 + y2 ≤ 16 so that the charge density at (x, y) is rho(x, y) = 2x + 2y + 2x2 + 2y
professor190 [17]

Answer:

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Step-by-step explanation:

Given electric charge is dristributed over the disk,

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To find total charge on the disk let Q be the total charge and x=r\cos\theta,y=r\sin\theta so that,

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=\frac{2}{3}\int_{0}^{2\pi}(\sin\theta+\cos\theta)\Big[r^3\Big]_{0}^{4}d\theta+2\int_{0}^{2\pi}\Big[\frac{r^4}{4}\Big]d\theta

=\frac{128}{3}\int_{0}^{2\pi}(\sin\theta+\cos\theta)d\theta+128\int_{0}^{2\pi}d\theta

=\frac{128}{3}\Big[\sin\theta-\cos\theta\Big]_{0}^{2\pi}+128\times 2\pi

=\frac{128}{3}\Big[\sin 2\pi-\cos 2\pi-\sin 0+\cos 0\Big]+256\pi

=256\pi

Hence total charge is 256\pi coulombs per square meter.

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