Which of the following polyhedra can be formed from the net diagram above?
1 answer:
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Answer:
The height of the second cylinder is 30mm
Step-by-step explanation:
Given
Cylinder 1:
Cylinder 2
See attachment
Required
Determine h, the height of the small one
To do this, we make use of the following equivalent ratios;
This gives:
Express as fraction
Simplify
Cross multiply
Given:
The equation of a circle is
A tangent line l to the circle touches the circle at point P(12,5).
To find:
The gradient of the line l.
Solution:
Slope formula: If a line passes through two points, then the slope of the line is
Endpoints of the radius are O(0,0) and P(12,5). So, the slope of radius is
We know that, the radius of a circle is always perpendicular to the tangent at the point of tangency.
Product of slopes of two perpendicular lines is always -1.
Let the slope of tangent line l is m. Then, the product of slopes of line l and radius is -1.
Therefore, the gradient or slope of the tangent line l is .
Answer:
The equation of line is given as
Step-by-step explanation:
Point on the line given :
We can find the slope of the line first from the given points.
Slope= Undefined.
The slope of the line is undefined which means that the line is parallel to y-axis.
From the points known to us we can tell that the line passes through
∴ The equation of line is given as
