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3 years ago

Triangle ABC is equilateral. What is the measure of angle B?

Mathematics

1 answer:

Sonbull [250]3 years ago

5 0

Answer:

Step-by-step explanation:

Equilateral triangles- all 3 angles are 60

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What is the value of 0.2+0.4 in fraction in lowest terms

mariarad [96]

Answer:

the answer is 3/5

Step-by-step explanation:

if it's correct please mark as brainlest

6 0

3 years ago

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:

Required total charge is $256\pi$ coulombs per square meter.

Step-by-step explanation:

Given electric charge is dristributed over the disk,

$x^2=y^2\leq 16$ so that the charge density at (x,y) is,

$\rho (x,y)=2x+2y+2x^2+2y^2$

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

$Q={\int\int}_Q\rho(x,y) dA$ where A is the surface of disk.

$=\int_{0}^{2\pi}\int_{0}^{4}(2x+2y+2x^2+2y^2)dA$

$=\int_{0}^{2\pi}\int_{0}^{4}(2r\cos\theta+2r\sin\theta+2r^2 \cos^{2}\theta+2r^2\sin^2\theta)rdrd\theta$

$=2\int_{0}^{2\pi}\int_{0}^{4}r^2(\cos\theta+\sin\theta)drd\theta+2\int_{0}^{2\pi}\int_{0}^{4}r^3drd\theta$

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

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

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

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

$=256\pi$

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

3 0

3 years ago

PLS HELP GIVING BRAINLIEST PLS PLS PLSSS

const2013 [10]

Answer:

n°

Step-by-step explanation:

Your selection is correct. Once again, they are alternate angles, meaning they're equal to one another.

5 0

2 years ago

What is the difference between polygons and quadrilaterals?

julia-pushkina [17]

A polygon cannot have curved sides. Examples of polygons include a triangle, square, rectangle, or any unnamed shape that is closed in, and has straight sides. ... A quadrilateral is a special kind of polygon that has exactly four sides that are all line segments.

$...$

8 0

3 years ago

Graph -2x = -60 please help I need to finish this assignment.

Cerrena [4.2K]

Answer:

-2x = -60

Isolate x and simplify.

2x = 60

x = 30

Straight vertical line through x=30.

8 0

3 years ago