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Olin [163]
3 years ago
5

Use the figure to find n please.

Mathematics
2 answers:
ira [324]3 years ago
4 0

Answer:

n = 5

Step-by-step explanation:

Since this is a right triangle, we can use trig

tan theta = opp /adj

tan 30 = n / 5 sqrt(3)

5 sqrt(3) tan 30 = n

5 sqrt(3) * 1/ sqrt(3) = n

5 = n

Sergio039 [100]3 years ago
3 0

Now we have to,

find the required value of n.

Now we can,

Use the trigonometric functions.

→ tan(θ) = opp/adj

Let's find the required value of n,

→ tan (θ) = opp/adj

→ tan (30) = n/5√3

→ n = 5√3 × tan (30)

→ n = 5√3 × √3/3

→ n = 5√3 × 1/√3

→ [n = 5]

Hence, the value of n is 5.

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Let's solve this by substitution.


y is given by the 2nd eqn as y = (1/3)x + 7. Subst. (1/3)x + 7 into the first eqn as a replacement for y: x + 9( (1/3)x + 7) = 3.


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