Answer:
343 cubic inches
Step-by-step explanation:
7 times 7 times 7 is 343
Answer:
See below.
Step-by-step explanation:
We know that the equation
is a true equation for a particular value of x.
Now, let's see what happens if we divide everything by 4. In other words:

Divide:

So, we get
.
When we divided everything by 4, we used the division property of equality. Under this property, the equation remains the same even if we divided since we did the <em>same thing to both sides of the equation. </em>
Therefore,
is also true for the same value of x because it is just a simplified version of
.
Answer:

Step-by-step explanation:
By using the formula:-

where, (h,k) is the center and r is the radius
Answer:
(C) 2√15
Step-by-step explanation:
Recognize that all the triangles are right triangles, so are similar to each other. In these similar triangles, the ratio of the short side to the long side is the same for all.
... CB/CA = CT/CB
... CB² = CA·CT = 10·6 = 60 . . . . . . . . . . multiply by CA·CB; substitute values
... CB = √60 = 2√15 . . . . . . . take the square root; simplify
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<em>Comment on this solution</em>
The altitude to the hypotenuse of a right triangle (CB in this case) divides the hypotenuse into lengths such that the altitude is their geometric mean. That is ...
... CB = √(AC·CT) . . . . as above
This is true for any right triangle — another fact of geometry to put in your list of geometry facts.