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3 years ago

Please help (a figure is made up of a square and two semicircles)

Mathematics

1 answer:

vekshin13 years ago

7 0

Answer:

73.132 is the perimeter

Step-by-step explanation:

The perimeter of the square is 32 because 8x4.

The perimeter of the semicircle is 20.566 and times by 2 as there are 2 is 41.132.

41.132 + 32 = 73.132

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A particle is moving with the given acceleration function and initial conditions. Find the velocity function and the position fu

Lerok [7]

Answer:

The velocity function is the particle is $v(t)=-2\cos (t)-4\sin (t)-1$ .

Step-by-step explanation:

The acceleration function of a moving particle is

$a(t)=2\sin (t)-4\cos (t)$

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$\int a(t)=\int (2\sin (t)-4\cos (t))dt$

$v(t)=-2\cos (t)-4\sin (t)+C_1$

Use the initial condition v(0) = −3 to find the value of C₁.

$-3=-2\cos (0)-4\sin (0)+C_1$

$-3=-2(1)-4(0)+C_1$

$-3=-2+C_1$

$-3+2=C_1$

$-1=C_1$

So the velocity function is the particle is

$v(t)=-2\cos (t)-4\sin (t)-1$

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$\int v(t)=\int (-2\cos (t)-4\sin (t)-1)dt$

$s(t)=-2\sin (t)+4\cos (t)-t+C_2$

Use the initial condition s(0) = 5 to find the value of C₂.

$5=-2\sin (0)+4\cos (0)-(0)+C_2$

$5=-2(0)+4(1)+C_2$

$5=4+C_2$

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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago

Cos^-1(cos 43°) PLEASE HELP ME

yulyashka [42]

$\: \: \: \: \:$

$= \cos(1) \cos(43°) \\ \\ in \: \: alternate \: \: form \: \\ \\ = 0.395152$

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Step-by-step explanation:

$\cos( - 1) ( \cos(43°))$

simplify the expression usiNg the symmetry of trigonometry

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<h2>hope it helps</h2>

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3 years ago

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