<h3>
Answer: Choice D. 8m, 9m, 10m</h3>
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Explanation:
If a = 8 and b = 9 are the two legs of a triangle and c = 10 is the hypotenuse, then
a^2 + b^2 = c^2
8^2 + 9^2 = 10^2
64 + 81 = 100
145 = 100
We get a false equation as 145 and 100 are two different values. So the original equation is false when (a,b,c) = (8,9,10)
By the converse of the pythagorean theorem, we have proven that this particular triangle is not a right triangle
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Contrast this with something like choice A where we have a = 3, b = 4, c = 5 leading to
a^2 + b^2 = c^2
3^2 + 4^2 = 5^2
9 + 16 = 25
25 = 25
we get a true equation so a triangle with sides 3,4,5 is a right triangle. Choices B and C follow a similar path.
The area of the polygons compare to π in the way that as
more angles and sides are added to a polygon the polygon becomes closer to a
circle; the perimeter slowly changes to circumference. Π is used to find the
area and circumference of a circle, so as polygons come closer to becoming circles
π becomes more strongly associated to the polygon. You can even use π to find
the approximate area of a circle if you use the same formula (as you would to
find the area of a circle) on a polygon. Another way to go about it is like
this…
You can find the area of a circle if you know the circle’s
circumference by using these steps:
<span>1. Divide the
circumference by π to find the diameter of the circle.</span>
<span>2. Divide the
diameter by 2 to find the radius of the circle.</span>
<span>3. Now that you
have the radius you can use the formula Area= πr2 to find the area of the
circle.</span>
Answer:
34
Step-by-step explanation:
Let the no. be x,
2x-3=3x+31
3x-2x= -3-31
x= -34
Need approx 3 oz chemical to 1 gal water.
Conversion factor is then approx. 3 oz
---------
1 gal
Mult this result by 6 gal. This gives you 18 oz, approx.
Now let's look for a more exact solution:
2.75 oz 19 gal
---------- * ---------- = 17.4 oz. The 18 oz estimate was close.
1 gal 3
