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2 years ago

Help geometry question

Mathematics

1 answer:

Sauron [17]2 years ago

6 0

Answer:

x=10

Step-by-step explanation:

43 and (4x+3) are vertical angles, which mean they are equal

so, 43=(4x+3)

43-3=(4x+3-3)

40=(4x)

40/4=4x/4

10=x

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Suppose that the Celsius temperature at the point (x, y) in the xy-plane is T(x, y) = x sin 2y and that distance in the xy-plane

liraira [26]

Missing information:

How fast is the temperature experienced by the particle changing in degrees Celsius per meter at the point

$P = (\frac{1}{2}, \frac{\sqrt 3}{2})$

Answer:

$Rate = 0.935042^\circ /cm$

Step-by-step explanation:

Given

$P = (\frac{1}{2}, \frac{\sqrt 3}{2})$

$T(x,y) =x\sin2y$

$r = 1m$

$v = 2m/s$

Express the given point P as a unit tangent vector:

$P = (\frac{1}{2}, \frac{\sqrt 3}{2})$

$u = \frac{\sqrt 3}{2}i - \frac{1}{2}j$

Next, find the gradient of P and T using: $\triangle T = \nabla T * u$

Where

$\nabla T|_{(\frac{1}{2}, \frac{\sqrt 3}{2})} = (sin \sqrt 3)i + (cos \sqrt 3)j$

So: the gradient becomes:

$\triangle T = \nabla T * u$

$\triangle T = [(sin \sqrt 3)i + (cos \sqrt 3)j] * [\frac{\sqrt 3}{2}i - \frac{1}{2}j]$

By vector multiplication, we have:

$\triangle T = (sin \sqrt 3)* \frac{\sqrt 3}{2} - (cos \sqrt 3) \frac{1}{2}$

$\triangle T = 0.9870 * 0.8660 - (-0.1606 * 0.5)$

$\triangle T = 0.9870 * 0.8660 +0.1606 * 0.5$

$\triangle T = 0.935042$

Hence, the rate is:

$Rate = \triangle T = 0.935042^\circ /cm$

3 0

2 years ago

Is y= 5/2x - 3 and 5x = 2y - 4 parallel or perpendicular or neither?

PIT_PIT [208]

Answer:

Neither

Step-by-step explanation:

Parallel must have the same slope.

Perpendicular must have reciprocal slopes.

These two contain neither.

3 0

2 years ago

Line segment ON is perpendicular to line segment ML. Line segment OM = 13 units in length, line segment PN = 8 units in length.

Alex_Xolod [135]

Answer:

Step-by-step explanation:

Line segment ON is perpendicular to line segment ML. Line segment OM = 13 units in length, line segment PN = 8 units in length.

Circle O is shown. Line segments M O, N O, and L O are radii. Lines are drawn to connects points M and N and points N and L to form chords. A line is drawn from point M to point L and intersects line O N at point P. The length of O M is 13 and the length of P N is 8. Angle O P L is a right angle.

3 0

2 years ago

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एउटा आयताकार चाउरको परिमिति 1004 m भए सो चउरको

frez [133]

Answer:

502m

Step-by-step explanation:

let x and y represent the length and breadth of rectangular meadow respectively.

Given,

Perimeter of the meadow =1004m

or,2(l+b)=1004m

or2(x+y)=1004m

orx+y=1004m/2

or,x+y=502m

i.e sum of length and breadth

5 0

3 years ago

Is y = 5(1.04)* A. growth or B. decay? <br><br>

Ilya [14]

Answer:

growth

Step-by-step explanation:

6 0

3 years ago

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