Im guessing those are those brackets?
<h3>
Answer: C) x = 13</h3>
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Work Shown:
We have a right triangle with legs a = 5 and b = 12. The hypotenuse is c = x which is unknown for now.
Use the pythagorean theorem to find x.
a^2 + b^2 = c^2
5^2 + 12^2 = x^2
25 + 144 = x^2
169 = x^2
x^2 = 169
x = sqrt(169) .... apply the square root to both sides
x = 13
Answer:
5units
Step-by-step explanation:
The triangle inscribed in the circle is a right angled triangle with angle C being 90°.
The diameter of the circle AB is the hypotenuse of the triangle.
Before we can get the radius, we need to get the diameter AB using Pythagoras theorem.
|AB|² = |AC|²+|BC|²
|AB|² = 6²+8²
|AB|² = 36+64
|AB|² = 100
|AB| = √100
|AB| = 10
Diameter of the circle = 10units
Radius = diameter/2 = |AB|/2
Radius = 10/2
Radius = 5units
Answer: 5.5 seconds
Since the penny is dropped and not thrown, the initial velocity is 0 and the initial height is given as 150m. Plugging these into the given equation result in
. To find how long it will take for the penny to hit the ground we set the equation equal to zero and solve for t. Since this doesn't factor, you'll need to use the quadratic formula:
. Since time cannot be negative, the answer will be the positive 5.5 seconds.