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melisa1 [442]
3 years ago
15

PLEASE HELP :))) triangle similarity theorem

Mathematics
1 answer:
Harman [31]3 years ago
3 0

Answer:

9i

Step-by-step explanation

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45 books represent 5% of total books at library 2.
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The total number of books is 900 books if 5% of the books is 45
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Shun is going to flip a fair coin 450 times.
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Close to around 225 times

Step-by-step explanation:

If the coin Shun is flipping is 2 sided the most linear anwser would be to make the prediction of it flipping on the tails side for a perfect total of 225.

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Anice has $64 left in her checking account. If she writes a check for $87, what
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Writing a check takes money out of the bank account. Subtract the amount of the check from the amount in the account:

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They would have -$23 in the account

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A cannonball is shot straight up into the air. The height of the cannonball at time t is represented by the function f(t)=−16t^2
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the initial height of the cannon ball

Step-by-step explanation:

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(I used time in minutes/seconds to try and explain what the function is asking)

8 0
3 years ago
Find the flux of F=(x^5+y^5+z^5-2x-3y-4z)i+sin(2y)j+4zsin^2(y)k across the surface of the tetrahedron bounded by the coordinate
Tju [1.3M]
Use the divergence theorem.

\mathbf F(x,y,z)=(x^5+y^5+z^5-2x-3y-4z)\,\mathbf i+\sin2y\,\mathbf j+4z\sin^2y\,\mathbf k
\implies(\nabla\cdot\mathbf F)(x,y,z)=\dfrac{\partial(x^5+y^5+z^5-2x-3y-4z)}{\partial x}+\dfrac{\partial(\sin2y)}{\partial y}+\dfrac{\partial(4z\sin^2y)}{\partial z}=5x^4-2+2\cos2y+4\sin^2y

The flux of \mathbf F across the tetrahedron's surface S is then given by the integral of \nabla\cdot\mathbf F over the interior of the tetrahedron \mathbf R.

\displaystyle\iint_S\mathbf F\cdot\mathrm dS=\iiint_T\nabla\cdot\mathbf F\,\mathrm dV
=\displaystyle\int_{x=0}^{x=1}\int_{y=0}^{y=1-x}\int_{z=0}^{z=1-x-y}(5x^4-2+2\cos2y+4\sin^2y)\,\mathrm dz\,\mathrm dy\,\mathrm dx
=\dfrac1{42}
4 0
3 years ago
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