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Alborosie
3 years ago
15

Find the measure of angle x in the figure below 50 75 115 130

Mathematics
1 answer:
Art [367]3 years ago
6 0

Answer:

50

Step-by-step explanation:

the 2 65 degree angles add up to 130. you need 180 for a triangle. The angle opposite x is 50 which means that x will also be 50

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In this problem we consider an equation in differential form Mdx+Ndy=0. (4x+2y)dx+(2x+8y)dy=0 Find My= 2 Nx= 2 If the problem is
zheka24 [161]

Answer:

f(x,y)=2x^2+4y^2+2xy=C_1\\\\Where\\\\y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )

Step-by-step explanation:

Let:

M(x,y)=4x+2y\\\\and\\\\N(x,y)=2x+8y

This is and exact equation, because:

\frac{\partial M(x,y)}{\partial y} =2=\frac{\partial N}{\partial x}

So, define f(x,y) such that:

\frac{\partial f(x,y)}{\partial x} =M(x,y)\\\\and\\\\\frac{\partial f(x,y)}{\partial y} =N(x,y)

The solution will be given by:

f(x,y)=C_1

Where C1 is an arbitrary constant

Integrate \frac{\partial f(x,y)}{\partial x} with respect to x in order to find f(x,y):

f(x,y)=\int\ {4x+2y} \, dx =2x^2+2xy+g(y)

Where g(y) is an arbitrary function of y.

Differentiate f(x,y) with respect to y in order to find g(y):

\frac{\partial f(x,y)}{\partial y} =2x+\frac{d g(y)}{dy}

Substitute into \frac{\partial f(x,y)}{\partial y} =N(x,y)

2x+\frac{dg(y)}{dy} =2x+8y\\\\Solve\hspace{3}for\hspace{3}\frac{dg(y)}{dy}\\\\\frac{dg(y)}{dy}=8y

Integrate \frac{dg(y)}{dy} with respect to y:

g(y)=\int\ {8y} \, dy =4y^2

Substitute g(y) into f(x,y):

f(x,y)=2x^2+4y^2+2xy

The solution is f(x,y)=C1

f(x,y)=2x^2+4y^2+2xy=C_1

Solving y using quadratic formula:

y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )

4 0
4 years ago
Ship A receives a distress signal from the north, And ship B receives a distress signal from the same vessel from the southeast.
11Alexandr11 [23.1K]

The coordinates of Ship A and B are missing, so i have attached it

Answer:

The vessel in distress is located at the coordinate (1, 2)

Step-by-step explanation:

The coordinates attached shows that;

Coordinates of A are (3, 4) while that of B are (1, 1).

We are told that Ship A receives a distress signal from the north, And ship B receives a distress signal from the same vessel from the southeast.

Now, from the image attached, If we imagine extending the line of ship A that is getting distress signal from southeast and also same thing for ship B that is getting signal from north,we'll discover that the lines intersect at a point with co-ordinates of approximately; (1, 2)

8 0
3 years ago
Which statement about the net is true?
Schach [20]
The net cannot be folded to form a pyramid because the faces that are not a base are not all triangles

If you fold this net up, you will get a triangular prism, NOT A PYRAMID.

A pyramid can have ANY polygon as its base, as long as all the other rest of the shapes are triangles.

Depending on the base, the number of triangles in a net of a pyramid must match the number of sides its particular base has.

For example, if you have a square pyramid turned into a net:
The base is a square (4 sides)
There should be 4 triangles on each side.

Because a pyramid is where all the triangles must meet up at a point.

Hope this helps!
3 0
3 years ago
A cylinder has a radius of 3 and a height of 4 Using 3.14 (pi) Round your answer to the nearest hundredth What is the volume of
tensa zangetsu [6.8K]

Answer:

113.04 cubic units. ".04" is four hundredths.

(the units are not given here. They could be cubic feet, cubic inches, cubic meters, cubic centimeters. or other measurements.)

Step-by-step explanation:

To find volume we need to multiply the area of the base times the height.

The base of a cylinder is a circle.

The area is πr²

The given radius here is 3

3² is 9

π × 9 using 3.14 is 28.26

Multiply that area by the given height, 4

28.26 × 4 = 113.04

The volume if this cylinder is 113.04 cubic units.

6 0
3 years ago
H(x) = -x - 1, find h(-2)
eduard

Answer:

I think the answer is 1

Step-by-step explanation:

-(-2)-1

=1

6 0
3 years ago
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