The three odd consecutive numbers are 27,29,31
Answer:
$23.52
Step-by-step explanation:
So first you would have to find how much each one would be if you were buying one individual book. For that you would do 31.36/4 to get $7.84. Then since you found that for only 1 book, you would need to multiply that by 3 to get $23.52
Answer:
htrh trhr thjt h
Step-by-step explanation:
tr h dhfghd t
The roast beef because you find a common denominator of twelve so the chicken sandwich had 8/12 the turkey had 9/12 the roast beef had 7/12 and the tuna had 10/12
9514 1404 393
Answer:
y = 11.2 in
Step-by-step explanation:
The product of segment lengths to the near and far intersection points of the secant with the circle are the same for all secants from the same external point. Here, there are three, so we have the relations ...
9×9 = 5(5+y) = x(x+19)
Then the value of y can be found as ...
81/5 = 5+y
16.2 -5 = y = 11.2
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The value of x is a little trickier, as a quadratic is involved.
81 = x² +19x
81 + 90.25 = x² +19x +90.25 . . . . complete the square
171.25 = (x +9.5)²
x = √171.25 - 9.5 ≈ 3.58625...
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<em>Additional comment</em>
For the purpose here, the tangent can be considered to be a degenerate case of a secant in which the two points of intersection with the circle are the same point. For the purpose of this calculation, the length of the tangent is squared. (The distance to the points of intersection is the same.)
I find it easier to remember one rule, rather than a separate rule for tangents. With some imagination, the same rule can be applied when the "secants" meet <em>inside</em> the circle. In that case, they are called "chords".
We have shown the value for x because we suspect some versions of this question may ask for x instead of y. (Rounding may be required in that case.)
