This model represents an equation
1 answer:
Answer:
Step-by-step explanation:
The model above shows a weigh balance which can be represented by an equation have two sides, of which must be equal to each other.
On the right of the equation, we have 5 "x" and 1 "-", which can be represented as: .
On the other side, we have 6 "-1", which can be represented as: -6.
The equation that can be used to solve x is:
Solve for x. Add 1 to both side
Divide both sides by 5
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Given:
The dimensions:
Square pyramid
Square base: 2x2
1 out of 4 triangles: 1/2x2x5
4 triangles: 2x2x5
To find:
The SURFACE AREA of the square pyramid
Find answer:
Step 1
Find the area of the square base -
Square base:
SA = L x W
= 2 x 2
= 4
<em>The surface area of the square is 4 square inches</em>
<em></em>
Step 2
Find the area of the 4 Triangles:
We will use a different formula here, to find 1 triangle, we will have to do:
To find 2 triangles, we will do:
But to find 4 triangles in just 1 step, we will do:
Let's do it!
<em>The surface area of the 4 triangles are 20 square inches</em>
<em></em>
Step 3
Add answers to get FINAL ANSWER
Easy!
20+4=24
<h2>Hence, the Surface Area of the Square Pyramid is 24 square inches</h2><em></em>
<em></em>
Answer:
-42
Step-by-step explanation:
The objective is to find the line integral of around the perimeter of the rectangle with corners (4,0), (4,3), (−3,3), (−3,0), traversed in that order.
We will use <em>the Green's Theorem </em>to evaluate this integral. The rectangle is presented below.
We have that
Therefore,
Let's calculate the needed partial derivatives.
Thus,
Now, by the Green's theorem, we have
