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larisa86 [58]
2 years ago
6

Please help me out....!!

Mathematics
1 answer:
Fofino [41]2 years ago
3 0

Answer:

S(0,0)

Step-by-step explanation:

Polygons are named in either clockwise or counter-clockwise order. In this quastion it is a clockwise order.

there are 4 right angels.

since P starts (0,b) and the second point Q(a,0) is straight up the y-axis and R(0,-c) is straight along the x-axis, the point S must be over the same distance as R=0 and up the same distance as Q=0

that means S=(0,0)

I'm not sure because I haven't took this lesson before in school but I related it to somethings I hope it helps and good luck in your classes!!!!

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5 0
3 years ago
A composite figure is shown.
VikaD [51]

The surface area of the pyramid is 60 square feet

The surface area of the square prism is 480 square feet

The surface area of the cube is 180 square feet

The total surface area is 720 square feet

<h3>Area of Composite figures</h3>

From the question, we are to calculate the surface area of each part of the composite figure

  • For the cube

Surface area of a cube is given by

S = 6l^{2}

Where l is the length of a side

But only have 5 surfaces of the cube are part of the composite figure

∴ Surface area of the cubic part of the figure = 5l^{2}

From the given information,

l = 6 \ feet

∴ Surface area of the cubic part of the figure = 5 × 6²

Surface area of the cubic part of the figure= 180 square feet

  • For the square prism

The surface area of a square prism is given by the formula,

S = 2l^{2} + 4lh

Where l is the length of the sides and

h is the height

But the <u>square surfaces</u> are not part of the surface of the figure

∴ Surface area of the square prism in the figure = 2l^{2} + 4lh -  2l^{2}

Surface area of the square prism in the figure = 4lh

From the given information,

l = 6 \ feet

h = 20 \ feet

Thus,

Surface area of the square prism part of the figure = 4×6×20

Surface area of the square prism part of the figure = 480 square feet

  • For the pyramid

The pyramid is a square pyramid

The surface area of a square pyramid is given by

S = l^{2} + 2l\sqrt{\frac{l^{2} }{4}+h ^{2} }

Where l is the base length

and h is the height of the prism

But the <u>square base</u> is not part of the surface of the figure

∴ Surface area of the pyramid part of the figure = l^{2} + 2l\sqrt{\frac{l^{2} }{4}+h^{2}  }\  - ( l^{2})

Surface area of the pyramid part of the figure = 2l\sqrt{\frac{l^{2} }{4}+h^{2}  }

From the given information,

l = 6 \ feet

h = 4 \ feet

∴ Surface area of the pyramid part of the figure = 2(6)\sqrt{\frac{6^{2} }{4}+4^{2}  }

= 12\sqrt{\frac{36 }{4}+16}

= 12\sqrt{9+16 }

= 12\sqrt{25}

= 12 × 5

= 60 square feet

Hence, the surface area of the pyramid is 60 square feet

Thus,

The total surface area = 180 square feet + 480 square feet + 60 square feet

The total surface area = 720 square feet

Hence, the total surface area is 720 square feet

Learn more on Calculating area of composite figures here: brainly.com/question/13175744

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4 0
2 years ago
Is x greater than, less than, or equal to 151°
Vitek1552 [10]

Answer:

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Step-by-step explanation:

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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} )

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3 years ago
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zzz [600]

Answer:

60 degree

Step-by-step explanation:

I don't know the process though

4 0
2 years ago
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