3 years ago

Find x, round to the nearest tenth degree.

Mathematics

1 answer:

Romashka [77]3 years ago

5 0

Answer:

Step-by-step explanation:

Use the Law of Cosines

A = arccos[(10²+14²-9.6²)/(2×10×14) ≅ 43.3°

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Find the general solution of the given higher-order differential equation. d3u dt3 + d2u dt2 − 2u = 0

STALIN [3.7K]

$\dfrac{\mathrm d^3u}{\mathrm dt^3}+\dfrac{\mathrm d^2u}{\mathrm dt^2}-2u=0$

This ODE has characteristic equation

$r^3+r^2-2=(r^3-r)+(r^2+r-2)=r(r^2-1)+(r+2)(r-1)$

$=(r(r+1)+(r+2))(r-1)=(r^2+2r+2)(r-1)=0$

which has roots at $r=1,-1\pm i$ . Then the characteristic solution to the ODE is

$u(t)=C_1e^t+C_2e^{(-1+i)t}+C_3e^{(-1-i)t}$

$\implies\boxed{u(t)=C_1e^t+C_2e^{-t}\cos t+C_3e^{-t}\sin t}$

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3 years ago

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cupoosta [38]

Answer:

$\frac{5}{3}$

Step-by-step explanation:

Given that the triangles are similar then the ratios of corresponding sides are equal.

To determine the scale factor calculate the ratio of corresponding sides, that is

$\frac{NO}{GH}$ = $\frac{15}{9}$ = $\frac{5}{3}$

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3 years ago

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It is False , because they could be in a common plane but they do not form a single line

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Maria buys a one liter soda bottle She accidentally drops the soda bottle and spills 437 millimeters of soda How many soda is le

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Answer:

First Blank: 20 photos

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Fourth Blank: 10 minutes.

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