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son4ous [18]
3 years ago
5

If 8 is an angle in standard position and its terminal side passes through the point (21,20), find the exact value of cos 0 in s

implest radical form.​
Mathematics
1 answer:
Sati [7]3 years ago
8 0

Answer:

so x = 20 , y = -21 , which is in quad IV

r^2= 400+441 = 841

r = √841 = 29

then cos Ø = 20/29

sec Ø = 29/20 = 1.45

please mark me as the brainliest answer and please follow me for more answers to your questions.

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PIT_PIT [208]

A cylinder of radius r cm and height h cm has a curved surface area A cm². Where –

  • A = 2πrh cm²

a) We are asked to find formula for h.

\qquad\purple{ \bf  \longrightarrow A=2 \pi rh }

First, overturn the equation

\qquad\sf  \longrightarrow 2 \pi rh =A

Divide both sides by 2πr

\qquad\sf  \longrightarrow \dfrac{2\pi rh}{2\pi r } = \dfrac{A}{2\pi r}

\qquad\sf  \longrightarrow \dfrac{\cancel{2 \pi r }h}{\cancel{2\pi r} } = \dfrac{A}{2\pi r}

\qquad\purple{\bf  \longrightarrow h = \dfrac{A}{2 \pi r }}

b) Again, we are given –

  • Curved surface area, A = 93 cm²
  • Radius, r = 2.5 cm
  • π = 3.1

\qquad\qquad\quad\underline{\sf{Substituting \ Values \ :}}

⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━

\qquad\bf  \longrightarrow h = \dfrac{A}{2\pi r  }

\qquad\sf  \longrightarrow h = \dfrac{93}{2 \times 3.1 \times 2.5   }

\qquad\sf  \longrightarrow h = \dfrac{93}{15.5}

\qquad\sf  \longrightarrow h =\cancel{ \dfrac{93}{15.5}}

\qquad\pink{ \bf  \longrightarrow h = 6\: cm }

  • Henceforth, height of the cylinder is 6 cm.
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