3 years ago

What would be the approximate length of the parallelogram if the base were completely straight

Mathematics

1 answer:

kirill115 [55]3 years ago

6 0

Answer:

The answer would be 9.4 units

Step-by-step explanation:

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Determine whether the function are inverse. F(x)=6x+l;g(x)=6x-1

sesenic [268]

Nope, inverse of first function is
f^-1(x)= (x-1)/6

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3 years ago

Find the solution r(t)r(t) of the differential equation with the given initial condition: r′(t)=⟨sin9t,sin6t,9t⟩,r(0)=⟨4,6,3⟩

klemol [59]

$\mathbf r'(t)=\langle\sin9t,\sin6t,9t\rangle$

$\mathbf r(t)=\displaystyle\int\mathbf r'(t)\,\mathrm dt$

$\mathbf r(t)=\left\langle\displaystyle\int\sin9t\,\mathrm dt,\int\sin6t\,\mathrm dt,\int9t\,\mathrm dt\right\rangle$

$\displaystyle\int\sin9t\,\mathrm dt=\frac19\cos9t+C_1$

$\displaystyle\int\sin6t\,\mathrm dt=\frac16\cos6t+C_2$

$\displaystyle\int9t\,\mathrm dt=\frac92t^2+C_3$

With the initial condition $\mathbf r(0)=\langle4,6,3\rangle$ , we find

$\dfrac19\cos0+C_1=4\implies C_1=\dfrac{35}9$

$\dfrac16\cos0+C_2=6\implies C_2=\dfrac{35}6$

$\dfrac92\cdot0^2+C_3=3\implies C_3=3$

So the particular solution to the IVP is

$\mathbf r(t)=\left\langle\dfrac19\cos9t+\dfrac{35}9,\dfrac16\cos6t+\dfrac{35}6,\dfrac92t^2+3\right\rangle$

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3 years ago

Number between 3.45 and 3.46

GenaCL600 [577]

Answer:

3.451, 3.452, 3.453, 3.454, 3.455, 3.456, 3.457, 3.458, 3.459, 3.460

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3 years ago

Find the length of the hypotenuse of this right angle

zvonat [6]

c^2 = 5^2 + 8^2 = 25 + 64 = 89

c = √89

Answer: c

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3 years ago

Priam has pennies and dimes in a cup holder in his car. The total value of the coins is $4.21. The number of dimes is three less

aksik [14]

Answer:

40 dimes and 21 pennies.

Step-by-step explanation: 40 dimes equal 4.00 so just add 21 pennies

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3 years ago

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