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Scorpion4ik [409]
2 years ago
5

I need help with no.7

Mathematics
1 answer:
ziro4ka [17]2 years ago
8 0

Answer:

  (a) 315°

  (b) 3°

  (c) 238°

Step-by-step explanation:

Bearings are measured clockwise from north. The triangle described is illustrated in the attachment.

<h3>(a)</h3>

The bearing of P from R is 180° different from the bearing of R from P it will be ...

  135° +180° = 315° . . . . bearing of P from R

__

<h3>(b)</h3>

The bearing of Q from R is 48° more than the bearing of P from R, so is ...

  315° +48° = 363°, or 3° . . . . bearing of Q from R

__

<h3>(c)</h3>

The angle QPR has a value that makes the sum of angles in the triangle equal to 180°. It is ...

  180° -48° -55° = 77°

The bearing of Q from P is 77° less than the bearing of R from P, so is ...

  135° -77° = 58°

As above, the reverse bearing from Q to P is ...

  58° +180° = 238° . . . . bearing of P from Q

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What is partial derivative of z=(2x+3y)^10 with respect to x,y?
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Not sure if you mean to ask for the first order partial derivatives, one wrt x and the other wrt y, or the second order partial derivative, first wrt x then wrt y. I'll assume the former.

\dfrac\partial{\partial x}(2x+3y)^{10}=10(2x+3y)^9\times2=20(2x+3y)^9

\dfrac\partial{\partial y}(2x+3y)^{10}=10(2x+3y)^9\times3=30(2x+3y)^9

Or, if you actually did want the second order derivative,

\dfrac{\partial^2}{\partial y\partial x}(2x+3y)^{10}=\dfrac\partial{\partial y}\left[20(2x+3y)^9\right]=180(2x+3y)^8\times3=540(2x+3y)^8

and in case you meant the other way around, no need to compute that, as z_{xy}=z_{yx} by Schwarz' theorem (the partial derivatives are guaranteed to be continuous because z is a polynomial).
3 0
3 years ago
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k0ka [10]

Answer:

90°

Step-by-step explanation:

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What is the length of the diagonal of a 10 cm by 15 cm rectangle?
Ksivusya [100]

Answer:

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Step-by-step explanation:

A diagonal makes a rectangle into two right triangles. So if we use the Pythagorean theorem we can find the hypotenuse which is the diagonals.

Remember, because we know the length and width, we know the two sides.

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1. Answer =   About 1451.42 m³

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  • Second, we need to find the volume of the cone:
  • Formula: (πr²h)/3
  • Volume = π * 3² * 4 = 37.69 m³
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  • 1413.72 m³ + 37.69 m³ = 1451.42 m³.

2. Answer <em>= </em>960 m³

  • Formula: (1/2(b*l)) * 20
  • First, we need to find the area of the base (1/2 * b* l).
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  • Second, we need to multiply the area of the base by the height to get the volume.
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