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3 years ago

Please help!!!!!!!!!!

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

7 0

Answer:

$\large\boxed{a=4\sqrt3}$

Step-by-step explanation:

We have the triangle 30° - 60° - 90°. In that triangle sides are in proportion

1 : √3 : 2 (look at the picture).

We have

$a\sqrt3=12$ multiply both sides by √3 (use √a · √a = a)

$3a=12\sqrt3$ divide both sides by 3

$a=4\sqrt3$

$b=2a\to b=2(4\sqrt3)=8\sqrt3$

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Step-by-step explanation:

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3 years ago

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3 years ago

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soldier1979 [14.2K]

Answer:

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3 years ago

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timama [110]

Answer:

v = 9/2 + sqrt(61)/2 or v = 9/2 - sqrt(61)/2

Step-by-step explanation:

Solve for v over the real numbers:

-v^2 + 9 v - 5 = 0

Multiply both sides by -1:

v^2 - 9 v + 5 = 0

Subtract 5 from both sides:

v^2 - 9 v = -5

Add 81/4 to both sides:

v^2 - 9 v + 81/4 = 61/4

Write the left hand side as a square:

(v - 9/2)^2 = 61/4

Take the square root of both sides:

v - 9/2 = sqrt(61)/2 or v - 9/2 = -sqrt(61)/2

Add 9/2 to both sides:

v = 9/2 + sqrt(61)/2 or v - 9/2 = -sqrt(61)/2

Add 9/2 to both sides:

Answer: v = 9/2 + sqrt(61)/2 or v = 9/2 - sqrt(61)/2

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3 years ago

Read 2 more answers