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2 years ago

Simplify √18 ÷ √12 please help explain this

Mathematics

2 answers:

qaws [65]2 years ago

8 0

√18 ÷ √12 = 1.22474487139159

guajiro [1.7K]2 years ago

7 0

$\sqrt{\frac{18}{12}}=\sqrt{\frac{3}{2}}=\frac{\sqrt3}{\sqrt2}=\frac{\sqrt3}{\sqrt2}*\frac{\sqrt2}{\sqrt2}=\frac{\sqrt6}{2}$

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2 years ago

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Ugo [173]

The length of the brace required is 4.3m

What is sine rule?

In a ΔABC a, b and c are the sides and A, B and C are angles then,

$\frac{a}{SinA}=\frac{b}{sinB}=\frac{c}{sinC}$

We can find the length, l as shown below:

Let AB=3m, BC=2m and AC=l

Let ∠A=25°

So, in ΔABC

$\frac{BC}{sinA}=\frac{AB}{sinC}=\frac{AC}{SinB}$

$\frac{BC}{sinA}=\frac{AB}{sinC}$

$\frac{2}{sin25}=\frac{3}{sinC}$

$\angle{C}=sin^{-1}(\frac{3\times sin25}{2} )$

∠C=39.34°

∠A+∠B+∠C=180°

∠B=180°-25°-39.34°

∠B=115.66°

$\frac{BC}{sinA}=\frac{AC}{SinB}$

$\frac{2}{sin25}=\frac{l}{sin(115.66)}$

$l=\frac{2\times sin(115.66)}{sin25}$

l=4.2659

Rounding to nearest tenth of meter.

l=4.3m

Hence, the length of the brace required is 4.3m

Learn more about Sine Rule here:

brainly.com/question/25852087

#SPJ1

8 0

1 year ago