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3 years ago

A triangle has sides of length 12 miles, 9.6 miles, and 7.2 miles. What is the perimeter?

Mathematics

2 answers:

Anna71 [15]3 years ago

3 0

12+ 9.6+ 7.2=28.8 miles is the perimeter
28.8

Nana76 [90]3 years ago

3 0

You would have to add up all the sides! So, you would do 12 + 9.6 + 7.2
This equals to 28.8 miles! That's the perimeter! Good luck! :]

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3 years ago

Solve the given integral equation for LaTeX: y(t)y ( t ). LaTeX: y(t)+9\displaystyle{\int_{0}^{t}e^{9(t-v)}y(v)\, dv}=\sin(3t)y

choli [55]

Looks like the equation is

$y(t)+9\displaystyle\int_0^te^{9(t-v)}y(v)\,\mathrm dv=\sin(3t)$

Differentiating both sides yields the linear ODE,

$y'(t)+9e^{9(t-t)}y(t)=3\cos(3t)$

$y'(t)+9y(t)=3\cos(3t)$

Multiply both sides by the integrating factor $e^{9t}$ :

$e^{9t}y'(t)+9e^{9t}y(t)=3e^{9t}\cos(3t)$

$\left(e^{9t}y(t)\right)'=3e^{9t}\cos(3t)$

Integrate both sides, then solve for $y(t)$ :

$e^{9t}y(t)=\dfrac1{10}e^{9t}(\sin(3t)+3\cos(3t))+C$

$y(t)=\dfrac{\sin(3t)+3\cos(3t)}{10}+Ce^{-9t}$

The given answer choices all seem to be missing <em>C</em>, so I suspect you left out an initial condition. But we can find one; let $t=0$ , then the integral vanishes and we're left with $y(0)=0$ . So

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3 years ago

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jenyasd209 [6]

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Step-by-step explanation:

Since we have given that

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So, probability of drivers involved in car accident is given by

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Probability of getting 3 or more who were involved in a car accident is given by

P(X≥3)=1-P(X=0)-P(X=1)-P(X=2)

Here,

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So, our equation becomes

P(X≥3)=1-P(X=0)-P(X=1)-P(X=2)

$P(X\geq 3)=1-0.028-0.121-0.233=0.618$

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Kazeer [188]

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Percent means out of 100

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saveliy_v [14]

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Step-by-step explanation:

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