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Bezzdna [24]
3 years ago
5

How do you find unknown angle measurements with no measurements on either side of the angle

Mathematics
1 answer:
Arada [10]3 years ago
8 0

Answer:

See Below

Step-by-step explanation:

There Are Multiple Ways Of Doing This.

  1. Calculate The Angle, If Possible.
  2. Measure The Sides.

This Is All I Am Able To Think Of At The Moment.

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Find the work done by F= (x^2+y)i + (y^2+x)j +(ze^z)k over the following path from (4,0,0) to (4,0,4)
babunello [35]

\vec F(x,y,z)=(x^2+y)\,\vec\imath+(y^2+x)\,\vec\jmath+ze^z\,\vec k

We want to find f(x,y,z) such that \nabla f=\vec F. This means

\dfrac{\partial f}{\partial x}=x^2+y

\dfrac{\partial f}{\partial y}=y^2+x

\dfrac{\partial f}{\partial z}=ze^z

Integrating both sides of the latter equation with respect to z tells us

f(x,y,z)=e^z(z-1)+g(x,y)

and differentiating with respect to x gives

x^2+y=\dfrac{\partial g}{\partial x}

Integrating both sides with respect to x gives

g(x,y)=\dfrac{x^3}3+xy+h(y)

Then

f(x,y,z)=e^z(z-1)+\dfrac{x^3}3+xy+h(y)

and differentiating both sides with respect to y gives

y^2+x=x+\dfrac{\mathrm dh}{\mathrm dy}\implies\dfrac{\mathrm dh}{\mathrm dy}=y^2\implies h(y)=\dfrac{y^3}3+C

So the scalar potential function is

\boxed{f(x,y,z)=e^z(z-1)+\dfrac{x^3}3+xy+\dfrac{y^3}3+C}

By the fundamental theorem of calculus, the work done by \vec F along any path depends only on the endpoints of that path. In particular, the work done over the line segment (call it L) in part (a) is

\displaystyle\int_L\vec F\cdot\mathrm d\vec r=f(4,0,4)-f(4,0,0)=\boxed{1+3e^4}

and \vec F does the same amount of work over both of the other paths.

In part (b), I don't know what is meant by "df/dt for F"...

In part (c), you're asked to find the work over the 2 parts (call them L_1 and L_2) of the given path. Using the fundamental theorem makes this trivial:

\displaystyle\int_{L_1}\vec F\cdot\mathrm d\vec r=f(0,0,0)-f(4,0,0)=-\frac{64}3

\displaystyle\int_{L_2}\vec F\cdot\mathrm d\vec r=f(4,0,4)-f(0,0,0)=\frac{67}3+3e^4

8 0
3 years ago
DESPERATE WILL GIVE BRAINLIST AND THANKS
Vitek1552 [10]

Answer:

21/22 = repeating

60/120 = terminating

56/72 = repeating

11/121 = repeating

Step-by-step explanation:

i just know. fight me.

3 0
3 years ago
Read 2 more answers
A regular octagon has a radius of 6 ft and a side length of 4. 6 ft. A regular octagon has a radius of 6 feet and side lengths o
skad [1K]

The regular octagon has eight equal sides. Then the area of the regular octagon of side length be 4.6 is 102 ft².

<h3>What is a regular octagon?</h3>

It is a polygon that has eight equal sides. In a regular octagon, the opposite sides are parallel. And its diagonals are also equal and intersect at mid-point.

Given

A regular octagon has a radius of 6 ft and a side length of 4.6 ft.

We know the formula for the regular octagon.

Area of the regular octagon = 2(1 + \sqrt{2}) a²

Where a be the side of a regular octagon.

Then the area of the regular octagon will be.

\rm Area = 2 (1+\sqrt{2} ) a^2\\\\Area = 2*(1 + 1.414) *4.6^2\\\\Area = 2 * (2.414)* 21.16\\\\Area = 102.16

Thus, the area of the regular octagon of side length be 4.6 is 102 ft².

More about the regular octagon link is given below.

brainly.com/question/858868

6 0
2 years ago
Which place is the 4 in? 815.604 hundreds hundredths thousandths tenths
Aleonysh [2.5K]

Answer:

Hundredths I think :D

Step-by-step explanation:

4 0
2 years ago
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Please help explain how to do this
ELEN [110]
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4 0
2 years ago
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