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3 years ago

Need help on this loviesss

Mathematics

1 answer:

aev [14]3 years ago

7 0

Step-by-step explanation:

perimeter of triangle = s + s + s

perimeter of given triangle = 22 + 17 + 14

= 53 cm

therefore, perimeter of given triangle is <em>53 cm</em>

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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

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

4 0

3 years ago

44 is the same as 113 more than w

Setler79 [48]

Answer:

Step-by-step explanation:

44=113+w

w=-69

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3 years ago

~[~p/\(q\/~p)] true or false

iren [92.7K]

I believe you're answer is false.

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3 years ago

What is the purpose of preparing a trial balance?

AlladinOne [14]

Answer:

The purpose of a trial balance is to prove that the value of all the debit value balances equals the total of all the credit value balances. If the total of the debit column does not equal the total value of the credit column then this would show that there is an error in the nominal ledger accounts.

Step-by-step explanation:

3 0

3 years ago

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Finding the Area of a Trapezoid in the Coordinate Plane

Oksanka [162]

The area of the trapezoid is 118 squre units

<h3>Area of a trapezoid</h3>

The formula for calculating the area of a trapezoid is expressed as:

A = 0.5(a+b)h
a = AD = √20
b = BC = √80
height = h = √40

Substitute into the formula

A = 0.5(√1600)*√40

A = 0.5 * 40 * √40

A = 20√40

A = 118 squre units

Hence the area of the trapezoid is 118 squre units

Larn more on area of a trapezoid here: brainly.com/question/1463152

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2 years ago

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