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Semmy [17]
3 years ago
8

The equilateral triangle has symmetry with respect to a line containing an altitude of the triangle

Mathematics
1 answer:
Gemiola [76]3 years ago
5 0
Lol, I'm just answering that question right now. I haven't turned it in yet, but I believe the answer is true as all the sides of an equilateral triangle are equal.
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Evaluate the surface integral. S xz ds, s is the part of the plane 2x 2y z = 4 that lies in the first octant
maksim [4K]

The value of the given surface integral is 4.

The given plane intercepts the coordinate axes at (2, 0, 0), (0, 2, 0), and (4, 0, 0). These point are the coordinates of a triangular region that we can parameterize using.

S(u,v)=(1-u)((1-u)(2,0,0)+u(0,2,0)+u(4,0,0)\\S(u,v)=(2(1-u)(1-v),2u(1-v),4v)

<h3>What is the surface integral?</h3>

A surface integral is a generalization of multiple integrals to integration over surfaces. It can be thought of as the double integral analog of the line integral. Given a surface, one may integrate a scalar field over the surface or a vector field.

with 0≤u≤1 and  0≤v≤1. Then the surface element ds  is equivalent to

ds=\||\:\left(s_u\times \:\:S_v\right)||dudv=12\left(1-v\right)dudv

The surface integral is then

\int \:\int \:_Sxzds=12\int _0^1\:\int _0^1\:\left(2\left(1-u\right)\left(1-v\right),2u\left(1-v\right),4v\right)dvdu=4

Therefore the value of the given surface integral is 4.

To learn more about the integral visit:

brainly.com/question/14295614

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6 0
2 years ago
Think About the Process At a little-known vacation spot, taxi fares are a bargain. A 28-mile taxi
scoray [572]

Answer:

$68.57

Step-by-step explanation:

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2 years ago
Jenny walked around the football field which statement explains whether the example describes area or perimeter
e-lub [12.9K]

Answer:

perimeter

Step-by-step explanation:  If she walks around its perimeter.  If she covers every inch of ground covered by the field its area.

Perimeter would be like an outline.  And area would be the whole thing shaded.  

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3 years ago
Find the area of the shaded region
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Answer:

Area of the shaded region= 500inch^2

Step-by-step explanation:

Area of the shaded region= Area of the triangle- Area of the rectangle

Dimensions of the triangle:

Base= 40 inch

Height= 40 inch

Area of a triangle=\frac{1}{2}*Base*Height

           =\frac{1}{2}*40*40\\\\ =\frac{1}{2} *1600\\\\=800 inch^2

Area of the rectangle= Length*Width

Length=30 inch

Width=10 inch

Area:

          = 30*10\\\\=300 inch^2

Area of the shaded region=  800-300= 500 inch^2

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Solve the following equation 5x-15=50
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X=13 I say.................
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