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1 month ago

What is the value of m in the figure below? If necessary,round your answer to the nearest tenth of a unit

Mathematics

1 answer:

zzz [12.3K]1 month ago

3 0

D. Based on similar triangles, the relationship established is 7/BD = BD / 18, using triangles ABD and BDC. Solving this yields BD^2 = 126. Maintain this format for clarity before applying rounding later. As triangle BDC is a right triangle, we can utilize the Pythagorean Theorem to find m, leading to m^2 = BD^2 + 7^2, which calculates to m^2 = 175—take the square root to find m = 13.22, confirming that the solution is D.

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2 months ago

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Step-by-step explanation:

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2 months ago

Find the limits of integration ly, uy, lx, ux, lz, uz (some of which will involve variables x,y,z) so that ∫uyly∫uzlz∫uxlxdxdzdy

Leona [12618]

Answer:

Hello! Your question appears to be missing details; here is the complete version

Ix = 0 Ux = $\sqrt{y-9z^2}$

Iz = 0 Uz = $\frac{\sqrt{y} }{3}$

Iy = 5 Uy = 10

Step-by-step explanation:

Ix = 0 Ux = $\sqrt{y-9z^2}$

Iz = 0 Uz = $\frac{\sqrt{y} }{3}$

Iy = 5 Uy = 10

This provides a comprehensive solution below

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2 months ago

1. X^4(dy/dx) +x^3y =- sec (xy)<br><br>Integral by separation of variables? <br>

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Answer:

Step-by-step explanation:

Considering the differential equation x^4(dy/dx) + x^3y = -sec(xy). We will solve it employing the method of separation of variables;

$x^{4} \frac{dy}{dx} +x^{3}y = -sec(xy)\\x^{3}(x\frac{dy}{dx} + y) = -sec(xy)\\let \ v=xy\\\frac{dv}{dx} = x\frac{dy}{dx} + y(implicit \ in\ nature)\\$

By substituting v and dv/dx into the previous equation, we acquire;

$x^{3}\frac{dv}{dx} = -secv$

We then separate the variables:

$-\frac{dv}{secv} = \frac{dx}{x^{3} }$

$-cosvdv = x^{-3}dx\\ integrating\ both\ sides\\-\int\limits {cosv} \, dv = \int\limits {x^{-3} } \, dx\\-sinv = \frac{x^{-2} }{-2} + C\\since\ v = xy\\-sinxy = \frac{x^{-2} }{-2} + C\\2sin(xy) = x^{-2} -2C\\2 sin(xy) = \frac{1}{x^{2} } -K (where\ K = 2C)\\$

The end expression provides the solution to the differential equation.

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3 months ago