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3 years ago

2/7, solve for n, explain too please

Mathematics

2 answers:

ale4655 [162]3 years ago

6 0

<h2>Answer:</h2>

n=19.2

<h2>Step-by-step explanation:</h2>

<u>Cross multiply.</u> 12/5=n/8, if you cross multiply that is 96=5n. Now divide 5 from both sides. That would equal 19.2

<u>Therefore n=19.2</u>

kirill [66]3 years ago

3 0

Answer:

n = 19.2

Step-by-step explanation:

12 / 5 = n / 8

n = 12 * 8 / 5

n = 96 / 5

n = 19.2

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Given: △ABC, m∠A=60°

Anon25 [30]

Answer:

Perimeter = 32.3

Area = 95.24

Step-by-step explanation:

Given:

△ABC, m∠A=60°

m∠C=45°, AB = 9

To find:

Perimeter of △ABC

Area of △ABC

Solution:

Using angle sum property in a triangle:

m∠A + m∠B + m∠C = 180°

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As per Sine Rule:

$\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}$

Where

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$b$ is the side opposite to $\angle B$

$c$ is the side opposite to $\angle C$

$\dfrac{BC}{sin60^\circ} = \dfrac{AC}{sin 75^\circ} = \dfrac{AB}{sin 45^\circ} \\\Rightarrow \dfrac{BC}{\frac{\sqrt3}{2}} = \dfrac{9}{\frac{1}{\sqrt2}} \\\Rightarrow BC = 12.73\times 0.87 \\\Rightarrow BC = 11.08$