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Tanya [424]
3 years ago
5

I want to know what is the answer to this?

Mathematics
1 answer:
nevsk [136]3 years ago
4 0

Answer:

x = 1.5\sqrt{14}

Step-by-step explanation:

since the triangle is right we can use the trig. ratio sine to solve

sin 45° = \frac{opposite}{hypotenuse} = \frac{1.5\sqrt{7} }{x}

multiply both sides by x

x sin45° = 1.5\sqrt{7}

using sin45° = \frac{1}{\sqrt{2} }, then

x ×\frac{1}{\sqrt{2} } = 1.5\sqrt{7}

multiply both sides by \sqrt{2}

x = 1.5\sqrt{7} ×\sqrt{2} = 1.5\sqrt{14}


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