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pogonyaev
2 years ago
10

A 3 m spring requires 12 J to stretch to 3.1 m. How much work is required to stretch the spring to 3.2m?

Mathematics
1 answer:
Cerrena [4.2K]2 years ago
7 0
I DONT KNOW BROOjssj
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Find the exact value of cos(sin^-1(-5/13))
son4ous [18]

bearing in mind that the hypotenuse is never negative, since it's just a distance unit, so if an angle has a sine ratio of -(5/13) the negative must be the numerator, namely -5/13.

\bf cos\left[ sin^{-1}\left( -\cfrac{5}{13} \right) \right] \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{then we can say that}~\hfill }{sin^{-1}\left( -\cfrac{5}{13} \right)\implies \theta }\qquad \qquad \stackrel{\textit{therefore then}~\hfill }{sin(\theta )=\cfrac{\stackrel{opposite}{-5}}{\stackrel{hypotenuse}{13}}}\impliedby \textit{let's find the \underline{adjacent}}

\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{13^2-(-5)^2}=a\implies \pm\sqrt{144}=a\implies \pm 12=a \\\\[-0.35em] ~\dotfill\\\\ cos\left[ sin^{-1}\left( -\cfrac{5}{13} \right) \right]\implies cos(\theta )=\cfrac{\stackrel{adjacent}{\pm 12}}{13}

le's bear in mind that the sine is negative on both the III and IV Quadrants, so both angles are feasible for this sine and therefore, for the III Quadrant we'd have a negative cosine, and for the IV Quadrant we'd have a positive cosine.

8 0
3 years ago
HELP DUE IN 15 MINS!
Stells [14]

Answer:

  • n = 18

Step-by-step explanation:

<u>Sum of interior angles of a polygon:</u>

  • (n - 2)180 = 160n
  • 180n - 360 = 160n
  • 20n = 360
  • n = 18

8 0
3 years ago
jaime makes a necklace with beads that are 0.08 meter long. her next necklace will have beads that are 1/10 the size of the bead
MatroZZZ [7]


It would be 0.008 meters long


3 0
3 years ago
Read 2 more answers
What is the difference between a ray and line segment line segment is a part of a line bound by multiple points along the line;
koban [17]

A line segment is a part of a line bound by two points; a ray is a line with one endpoint that extends to infinity in one direction. is the difference between a ray and line segment.

Option: C.

<u>Step-by-step explanation:</u>

A line is a set of multiple points that extends from one point to its opposite direction without any end. Ray and Line segments are the two parts that can occur in a line.

A ray is a line with an endpoint in which the line can be extended from that point to infinity in a direction. A line segment also another part line and it consists of two points. Moreover, The line is bounded between those points.

8 0
3 years ago
Plz help i dont want to fail ill mark bainlist
mamaluj [8]
It’s C mate! Hope this helps! :))
8 0
3 years ago
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