If a triangular cross-section with coordinates at (1, 1), (1, 4), and (3, 1) is rotated about the line x = 1, what will be the r
esulting three-dimensional object?
2 answers:
Answer:
The resulting three-dimensional object will be a cone
Step-by-step explanation:
Plot the figure to better understand the problem'
we have
a triangular cross-section with coordinates at (1, 1), (1, 4), and (3, 1)
The draw in the attached figure
we know that
When rotating a a right triangle about a leg, the three dimensional figure formed is a cone
The radius of the cone will be equal to the base of right triangle and the height of the cone will be equal to the height of the triangle
so
The radius of the cone will be equal to 2 units and the height of the cone will be 3 units
see the attached figure to better understand the problem
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ANSWER
x = 1.2226
EXPLANATION
To solve this equation we have to apply the property of the logarithm of the base,
Thus, we can apply the natural logarithm - whose base is e, to both sides of the equation,
Now we apply the property of the logarithm of a power,
In our equation,
Then divide both sides by 4 and solve,
The solution to this equation is x = 1.2226, rounded to four decimal places.
Answer:
Image below
Step-by-step explanation:
<em>Given: Side lengths of a right triangle 3,4 and 5 units. </em>
<em> To draw: A right triangle with the given side length. </em>
<em> Solution: </em>
<em> We know, in a right angle triangle hypotenuse is the longest side and satisfying Pythagoras theorem. </em>
<em> From the given side length, </em>
<em> Hypotenuse = 5 unit </em>
<em> We can take any of the base and perpendicular. </em>
<em> Let, Base = 3 unit </em>
<em> Perpendicular = 4 unit. </em>
<em> It a right-angle triangle with a hypotenuse 5 unit. </em>
<em> Now we draw a right angle triangle taking in the first 3 base and 4 perpendicular and second 3 perpendicular and 4 bases.</em>
