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torisob [31]
3 years ago
6

Compare and contrast the terms complementary and supplementary when referring to angles

Mathematics
1 answer:
sattari [20]3 years ago
8 0
Complementary angles are angles that add up to 90º. For example, 30º and 60º.

Supplementary angles are angles that add up to 180º. For example, 120º and 60º.
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AlexFokin [52]

Answer:

a) k = 300\,\frac{N}{m}, b) \Delta U_{k} = 13.5\,J, c) \Delta U_{k} = 6\,J, d) \Delta U_{k} = 4.5\,J

Step-by-step explanation:

a) The spring constant is calculated by using this expression:

k = \frac{F}{x}

k = \frac{30\,N}{0.1\,m}

k = 300\,\frac{N}{m}

b) The work needed to compress the spring from its initial position is:

\Delta U_{k} = \frac{1}{2}\cdot k \cdot (x_{f}^{2}-x_{o}^{2})

\Delta U_{k} = \frac{1}{2}\cdot (300\,\frac{N}{m} )\cdot [(-0.3\,m)^{2}-(0\,m)^{2}]

\Delta U_{k} = 13.5\,J

c) The work needed to stretch the spring is:

\Delta U_{k} = \frac{1}{2}\cdot (300\,\frac{N}{m} )\cdot [(0.2\,m)^{2}-(0\,m)^{2}]

\Delta U_{k} = 6\,J

d) The work need to stretch the spring is:

\Delta U_{k} = \frac{1}{2}\cdot (300\,\frac{N}{m} )\cdot [(0.2\,m)^{2}-(0.1\,m)^{2}]

\Delta U_{k} = 4.5\,J

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Step-by-step explanation:

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PLEASE HELP, MATH, PLEASE<br>Solve for n: n+5/16 = -1​
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\tt Step-by-step~explanation:

To solve for n, we have to isolate n. To do so, we move all the terms that are not n to one side of the equation, and leave n on the other side.

\tt Steps:

Equation: n + 5/16 = -1

Subtract 5/16 on both sides to bring it to the right side of the equation.

\tt n+5/16-5/16=-1-5/16\\\\n=-\frac{21}{16}~or~-1\frac{5}{16}

\Large\boxed{\tt Our~final~answer:~n=-\frac{21}{16}~or~-1\frac{5}{16} }

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