The ratio of the surface area of two cubes is 49:81. Find the ratio of there volumes.
2 answers:
Answer:
343 : 729
Step-by-step explanation:
A cube is made up of 6 square faces. If each face has a side length of a, we can find the surface area of that cube with the formula , since we'll have 6 faces with area a². Let's call the edge length of the first cube a and the edge length of the second cube b. The ratio between their surface areas is then 6a² : 6b², or simply a² : b². If we compare this to our given ratio 49 : 81, we can see that a² = 49 and b² = 81, or, square rooting both equations, a = 7 and b = 9.
The volume of a cube with a side length a is a³, so the ratio between our cubes here must be a³ : b³. Using the values for a and b we just found, this ratio becomes 7³ : 9³, which we can simplify to 343 : 729.
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Hi there! The answer is A.
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Working out the parenthesis can for instance be done using rainbow technique.
We can now see sinilarities between this function an the general function of a line in slope intercept form
The function t therefore describes a line with slope 2 and y-intercept 4. Therefore the answer is A.
To get a proper idea of the type of function this formula represents we work out the parenthesis.
Working out the parenthesis can for instance be done using rainbow technique.
We can now see sinilarities between this function an the general function of a line in slope intercept form
The function t therefore describes a line with slope 2 and y-intercept 4. Therefore the answer is A.
Answer:
The standard form of the equation for the conic section represented by is:
Step-by-step explanation:
We know that:
is the standard equation for an up-down facing Parabola with vertex at (h, k), and focal length |p|.
Given the equation
Rewriting the equation in the standard form
Thus,
The vertex (h, k) = (-5, 12)
Please also check the attached graph.
Therefore, the standard form of the equation for the conic section represented by is:
where
vertex (h, k) = (-5, 12)
