Wesley is making a patio from stones of two sizes, 5 inch wide and 10 inch wide. He wants to begin and end his pattern with a 10
2 answers:
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Answer:
10.4 cm
Step-by-step explanation:
The volume (V) of a pyramid is calculated using
V = area of base × height (h)
area of square base = 6² = 36, thus
× 36h = 120
12h = 120 ( divide both sides by 12 )
h = 10 cm
To find the slant height (s) consider the right triangle from the vertex to the midpoint of the base and from the midpoint of base to the side.
That is a right triangle with hypotenuse s and legs 10(h) and 3 (midpoint of the base )
Using Pythagoras' identity then
s² = 10² + 3² = 100 + 9 = 109
Take the square root of both sides
s = ≈ 10.4 cm
Answer:
The equation is
Step-by-step explanation:
If we want a line parallel to the line in the problem it will have the same slope. The equation given in the problem is already in slope intercept form so we can take the slope for the new equation directly from this equation.
The slope-intercept form of a linear equation is:
Where m is the slope and b is the y-intercept value.
Therefore the slope is
We can now use the point-slope formula to write the equation of the parallel line:
The point-slope formula states:
Where m is the slope and is a point the line passes through.
Substituting the information from the problem gives:
Or, we can solve for y to put the equation in slope-intercept form: