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Reil [10]
4 years ago
6

Help!! Math question

Mathematics
2 answers:
aksik [14]4 years ago
5 0
18 - 7x = -20.52.5 = 7xx = 5/14 (c)


Zielflug [23.3K]4 years ago
3 0
18-7x=-20.5

-18 from both sides

Dive by -7 to both sides

D. 5 1/2
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Answer:

Step-by-step explanation:

12). By applying Pythagoras theorem in the given right triangle,

      Hypotenuse² = (Leg 1)² + (Leg 2)²

      x² = 7² + 7²

      x² = 2(7)²

      x = \sqrt{2(7)^{2} }

      x = 7\sqrt{2}

13). By sine rule,

      sin(60)° = \frac{\text{Opposite side}}{\text{Hypotenuse}}

      \frac{\sqrt{3}}{2}=\frac{9\sqrt{3} }{y}

      y = \frac{18\sqrt{3} }{\sqrt{3} }

      y = 18

      By cosine rule,

      cos(60)° = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

      \frac{1}{2}=\frac{x}{y}

      x = \frac{y}{2}

      x = \frac{18}{2}=9

14). By applying Pythagoras theorem in the given right triangle,

      12² = x² + x²

      144 = 2x²

      72 = x²

      x = √72

      x = 6√2

5 0
4 years ago
Hi. I need help with these questions (see image)<br>Please show workings.<br>​
pantera1 [17]

Answer:

see explanation

Step-by-step explanation:

Using the chain rule

Given

y = f(g(x)), then

\frac{dy}{dx} = f'(g(x))  × g'(x) ← chain rule

and the standard derivatives

\frac{d}{dx} (log_{a} x ) = \frac{1}{xlna} , \frac{d}{dx}(lnx) = \frac{1}{x}

(a)

Given

y = log_{a}\sqrt{(1+x)}

\frac{dy}{dx} = \frac{1}{lna\sqrt{(1+x)} } × \frac{d}{dx} ((1+x)^{\frac{1}{2} }

   = \frac{1}{lna\sqrt{(1+x)} } × \frac{1}{2} (1+x)^{-\frac{1}{2} } × \frac{d}{dx} (1 + x)

   = \frac{1}{lna\sqrt{(1+x)} } × \frac{1}{2\sqrt{(1+x)} } × 1

   = \frac{1}{2lna(1+x)}

   = \frac{1}{(1+x)lna^2}

(b)

Given

y = ln sinx

\frac{dy}{dx} = \frac{1}{sinx} × \frac{d}{dx}(sinx)

   = \frac{1}{sinx} × cosx

   = \frac{cosx}{sinx}

   = cotx

5 0
3 years ago
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