<span>The Declaration of independence is full of loaded language. It invokes the will of god to support its cause and talks of the power of man and nature. It uses words that conjure visual thoughts, such as dissolving the political bands that held the two nations together. With this language you can visualize these tethers being dissolved. It speaks of equality and drums up feelings of self and National pride.</span>
The set of side measurements that could be used to form a right triangle is 3, 4 and 5 option (D) is correct.
What is a right-angle triangle?
It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
It is given that:
The side length of the triangle is shown in the option:
As we know,
Pythagoras' theorem is the square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
Using Pythagoras' theorem:
From option(D):
3, 4 and 5
(3)² + (4)² = 5²
9 + 16 = 25 (True)
Thus, the set of side measurements that could be used to form a right triangle is 3, 4 and 5 option (D) is correct.
Learn more about the right-angle triangle here:
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The stiffness of one short spring is 13500 N/m
<em><u>Solution:</u></em>
We are given a chain with number of spring N = 30 and linked end to end ( in series) and stiffness of this chain is 450 N/m
We have to find the stiffness of one short spring
The springs are identical, which means they have same stiffness
<em><u>The stiffness of one spring in series is given as:</u></em>
Where,
N is the number of springs
is the stiffness of one spring
is the stiffness of this chain
Substituting,
Therefore,
Thus the stiffness of one short spring is 13500 N/m