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Darya [45]
3 years ago
10

Help me pls pls pls

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
7 0

Answer:

ANSWER IS C

Step-by-step explanation:

adj = 3

opp = 4

tanx = \frac{opp}{adj}

tan C = \frac{4}{3}

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Which equations and/or functions represent the graphed line? Select three options.
9966 [12]

Answer:

Point slope form : y-3=\frac{1}{2}(x-2)

Slope intercept form: y=\frac{1}{2}(x)+2

Standard form : -x+2y=4

Step-by-step explanation:

From the given graph it is clear that the line is passing through the points, (-4, 0), (-2, 1), (0, 2), and (2, 3).

If a line passes through two points (x_1,y_1) and (x_2,y_2), then the equation of line is

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

Let as consider any two points of the line:  (2, 3) and (0, 2).

The equation of line is

y-3=\frac{2-3}{0-2}(x-2)

y-3=\frac{1}{2}(x-2)

The point slope form of the line is y-3=\frac{1}{2}(x-2).

y-3=\frac{1}{2}(x)-\frac{1}{2}(2)

y-3=\frac{1}{2}(x)-1

Add 3 on both sides.

y=\frac{1}{2}(x)-1+3

y=\frac{1}{2}(x)+2

Therefore the slope intercept form of the line is y=\frac{1}{2}(x)+2.

Multiply both sides by 2.

2y=x+4

-x+2y=4

Therefore, the standard form of the line is -x+2y=4.

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4 years ago
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Find the area of a sector with a central angle of 170° and a diameter of 9.1 cm. Round to the nearest tenth.
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A central angle:
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d = 9.1 cm
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Answer:

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Step-by-step explanation:

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Looks like

\vec F(x,y,z)=y\,\vec\imath+z\,\vec\jmath+xz\,\vec k

The solid described by x^2+y^2\le z\le 1 is the interior of the region bounded by the paraboloid z=x^2+y^2 and the plane z=1. Call this region R.

By the divergence theorem,

\displaystyle\iint_{\partial R}\vec F\cdot\mathrm d\vec S=\iiint_R\mathrm{div}\vec F\,\mathrm dV

The divergence is

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or in cylindrical coordinates,

\displaystyle\int_0^{2\pi}\int_0^1\int_{r^2}^1r^2\cos\theta\,\mathrm dz\,\mathrm dr\,\mathrm d\theta=\boxed{0}

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