What is 81 rounded to the nearest tenth
2 answers:
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1. CD is tangent to the circle with center O, at point D.
2. Join D to O.
3. OD = OB = r, where r is the radius of the circle.
4. radius OD is perpendicular to the tangent CD.
5. Thus in the right triangle OCD:
, by the pythagorean theorem.
6.
Note: when applying pythagorean theorem, the difference of squares property
[
] is a useful practical tool in calculations.
38r=(35 -19)(35+19)
38r=16*54
r=
7. Finally, the diameter BA=2r=2*22.74=45.48
So the answer is 45.5
2. Join D to O.
3. OD = OB = r, where r is the radius of the circle.
4. radius OD is perpendicular to the tangent CD.
5. Thus in the right triangle OCD:
6.
Note: when applying pythagorean theorem, the difference of squares property
[
38r=(35 -19)(35+19)
38r=16*54
r=
7. Finally, the diameter BA=2r=2*22.74=45.48
So the answer is 45.5
The graph of and the graph of
. These two graphs are illustrated in the Figure bellow. So, let's explain what this means:
- For a function f(x), a new function g(x) = f(x - c) represents to shift the graph <em>c</em> units to the right.
- For a function f(x), a new function g(x) = f(x) + k represents to shift the graph <em>k</em> units upward.
Since in our problem the function g(x) = f(x - c) + k, we have shifted the function f(x) <em>c </em>units to the right and <em>k </em>units upward, that is, we have shifted the function f(x) <em>5 </em>units to the right and <em>1 </em>unit upward as indicated in the Figure bellow.
