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zzz [600]
3 years ago
13

What is the value of x? 103√ ​ 10 ​ 53√ ​ ​​5

Mathematics
2 answers:
d1i1m1o1n [39]3 years ago
8 0
Sin 60⁰= x/10
x=10*sin 60⁰
x=10*(√3/2)=5√3
x=5√3
Answer is x=5√3.

saw5 [17]3 years ago
5 0

Answer:

(C) 5{\sqrt{3}

Step-by-step explanation:

From the given figure, we have

AB=x, AC=10 and ∠C=60°

Using trigonometry, we get

{\frac{AB}{AC}}=sinC

Substituting the given values, we get

⇒{\frac{x}{10}}=sin60^{\circ}

⇒{\frac{x}{10}}={\frac{\sqrt{3}}{2}}

⇒x=10{\times}\frac{\sqrt{3}}{2}

⇒x=5\sqrt{3}

Therefore, the value of x is 5{\sqrt{3} units.

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What is the perimeter of the triangle shown on the coordinate plane, to the nearest tenth of a unit?
seraphim [82]

21.6 units

Calculate the length of the 2 inclined sides using the distance formula

d = √(x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 3, 3 ) and (x₂, y₂ ) = (3, 4 )

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3 years ago
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