Do two triangles with the same base and height have the same area
1 answer:
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The solution of the equation is and
Explanation:
The equations are and
First we shall solve the equation graphically.
The image of the graph is attached below.
This contains the solution to the system of equations.
The equations and
are plotted on the graph.
The intersection of these two equations are the solutions of the system of equations.
Thus, the intersection of the two equations are and
Now, we shall solve the equation algebraically.
Let us solve the equation using substitution method.
Let us substitute in
, we get,
Adding both sides by 2x, we have,
Adding both sides by 2, we get,
Dividing both sides by 3,
Thus, the value of x is 3.
Substituting in
, we get,
Thus, the value of y is 1.
Hence, The solution of the equation is and
Answer:
Therefore,
The volume of the geode, rounded to the nearest tenth is 640.1 feet³.
Step-by-step explanation:
Given:
Geode shaped approximately like a cylinder. such that
Height = h = 26 feet
Diameter = d = 5.6 feet
To Find:
volume of the geode = ?
Solution:
Geode shaped approximately like a cylinder,
So, Volume of Cylinder is given by,
Where,
Height = h
Radius = r
pi = 3.14
Substituting the values we get
Therefore,
The volume of the geode, rounded to the nearest tenth is 640.1 feet³.