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arlik [135]
3 years ago
5

PLEASE HELP WILL AWARD BRAINLIEST TO BEST ANSWER!!!

Mathematics
1 answer:
Ann [662]3 years ago
5 0

Answer:

See below

Step-by-step explanation:

In\: \triangle AKL, \:\\ AK = 9,\: \\m\angle K = 90\degree, \: \\m\angle A= 60\degree \\\therefore m\angle L = 30\degree\\By \:30°-60°-90° \:\triangle \:theorem:\\AK = \frac{1}{2} \times AL\\(SIDE\: OPPOSITE \:TO \:30\degree) \\\\9 = \frac{1}{2} \times AL\\\\AL = 9\times 2\\\\\huge\red{AL = 18}\\\\KL = \frac{\sqrt 3}{2} \times AL\\(SIDE\: OPPOSITE \:TO \:60\degree) \\\\KL = \frac{\sqrt 3}{2}\times 18\\\\KL = 9\times \sqrt 3\\\\\huge\purple{KL = 9\sqrt 3}\\\\P(\triangle AKL) = AK + KL + AL\\P(\triangle AKL)= 9 + 9\sqrt 3+18\\\huge\orange{P(\triangle AKL)=(27 + 9\sqrt 3) \: units} \\\\A(\triangle AKL) = \frac{1}{2} \times KL\times AK\\A(\triangle AKL) = \frac{1}{2} \times 9\sqrt 3\times 9\\A(\triangle AKL) = \frac{81\sqrt 3}{2} \\\huge\pink{A(\triangle AKL) = 40.5\sqrt 3\: units^2}

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Cos xcos y=1/2(sin(x+y)+ sin(x-y))
garri49 [273]

Taking Rhs

1/2 [sin(x+y)+ sin (x-y)]

using sinA + sin B = 2 cos (A+B)/2 cos( A - B)/2

1/2 [ 2 Cos ( x+y+x-y)/2 . Cos (x+y-x+y)/2]

=Cos 2x/2. Cos 2y/2 = Cos x . Cos y

Hence true

7 0
4 years ago
G(x)=1/6(8)^x-5. x=9​
Nezavi [6.7K]

Answer:

g(9) = \frac{2048}{3}

Step-by-step explanation:

Given

g(x) = \frac{1}{6}(8)^{x-5}

x = 9

Required

Solve

Substitute 9 for x in g(x) = \frac{1}{6}(8)^{x-5}

g(9) = \frac{1}{6}(8)^{9-5}

g(9) = \frac{1}{6}(8)^{4}

Remove bracket

g(9) = \frac{1}{6}* 8^4

g(9) = \frac{1}{6}* 4096

g(9) = \frac{1* 4096}{6}

g(9) = \frac{4096}{6}

Simplify fraction

g(9) = \frac{2048}{3}

5 0
3 years ago
Solve for x. Enter the solutions from least to greatest. <br> (x+15)^2-10=0
Sergeu [11.5K]

Answer:

  • lesser x = -1.84
  • lesser x = -8.16

Step-by-step explanation:

Given the expression

\left(x+5\right)^2-10=0

Add 10 to both sides

\left(x+5\right)^2-10+10=0+10

Simplify

\left(x+5\right)^2=10

\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}

solve

x+5=\sqrt{10}

Subtract 5 from both sides

x+5-5=\sqrt{10}-5

x=\sqrt{10}-5

x=-1.8

so

x+5=-\sqrt{10}

Subtract 5 from both sides

x+5-5=-\sqrt{10}-5

Simplify

x=-\sqrt{10}-5

\:x=-8.2

As -1.84 > -8.16

so

  • lesser x = -1.84
  • lesser x = -8.16
7 0
3 years ago
2 divided by 3.6<br> in standard algorithm
zaharov [31]
The answer is going to be 0.55555556. hope that helped
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3 years ago
Is 3.518 &gt; than or &lt; than 3.527
Sedaia [141]

Answer:

3.527 > 3.518 is the answer

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3 years ago
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