We have to calculate AC ( hypotenuse ):
AC² = 29² + 28²
AC² = 841 + 1444
AC² = 2285
AC = √2285
AC = 47.8
And for the angle C:
cos C = Adjacent / Hypotenuse
cos C = 38 / 47.8
cos C = 0.794979
∠ C = cos ^(-1) 0.794979
∠ C = 37.35° ≈ 37°
Answer: ∠ C = 37°.
It is C. It is not possible to fold the shape about a line so that the two halves fit exactly on to of one another.
<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.
Answer:
8.08 pounds
Step-by-step explanation:
96-15.2=80.8
80.8/10=8.08
