C, you must be older than 16 to get a driver's license.
Answer:
1296√3 cubic units
Step-by-step explanation:
The volume of the prism will be the product of its base area and its height. Since it circumscribes a sphere with diameter 12, that is the height of the prism.
The central cross section of the sphere is a circle of radius 6, and that will be the size of the incircle of the base. That is, the base will have an altitude of 3 times that incircle radius, and an edge length of 2√3 times that incircle radius. Hence the area of the triangular base is ...
B = (1/2)(6×2√3)(6×3) = 108√3 . . . . . square units
The volume of the prism is then ...
V = Bh = (108√3)(12) = 1296√3 . . . cubic units
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<em>Comment on the geometry</em>
The centroid of an equilateral triangle is also the incenter and the circumcenter. The distance of that center from any edge of the triangle is 1/3 the height of the triangle. So, for an inradius of 6, the triangle height is 3×6 = 18. The side length of an equilateral triangle is 2/√3 times the altitude, so is 12√3 units for this triangle.
80-7 equals 73. The square root of can be found with a calculator. It is equivalent to 8.544
Answer: The answer would be D.
Step-by-step explanation: I put down the points then simply reflected it over the y-axis. I did this by using the the opposite of the x number and the same y number. Hope this helps!
The slope-intercept form: y = mx + b
So we need to "solve" given equation for y
3.3x - 3y = 2.4 {subtracting 3.3x from both sides}
- 3y = 2.4 - 3.3x {dividing both sides by (-3)}
y = -0.8 + 1.1x
Therefore:
<h3>Slope:
m = 1.1</h3><h3>y -intercept
:
b = - 0.8</h3><h3>slope-intercept form:
y = 1.1x - 0.8</h3>
