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marin [14]
3 years ago
6

Let x be toms speed. Solve for x.

Mathematics
1 answer:
Greeley [361]3 years ago
6 0
First cross multiply to get:
80x = 65(x+3) (distribute)
80x=65x+195
15x=195 (subtract 65x from both sides)
x=13 (divide both sides by 15)

Hope this helps
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Vanyuwa [196]

Answer:

(i) the other two sides are 6 and  6\sqrt{2}

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Step-by-step explanation:

(i)  Sine: sin(θ) = Opposite ÷ Hypotenuse

    Cosine: cos(θ) = Adjacent  ÷ Hypotenuse

    Tangent: tan(θ) = Opposite ÷ Adjacent

Here adjacent side = 6

opposite side = d

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other angles are 90° and 45°

tan (45) = Opposite ÷ Adjacent

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∴ d = 6 × 1 = 6

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                       = 72

hypotenuse = \sqrt{72}

                     = 6\sqrt{2}

the other two sides are 6 and  6\sqrt{2}

(ii) here adjacent side = 4√3

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other angles are 90° and 60°

opposite side = d

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 \frac{1}{\sqrt{3}} = d ÷ 4√3

\frac{1}{\sqrt{3}} = d × (\frac{\sqrt{3}}{4})

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therefore d = \frac{4}{3}

therefore opposite side = \frac{4}{3}

Hypotenuse ² = opposite side ² + adjacent side²

                        =( \frac{4}{3})² +( \frac{4}{\sqrt{3}})²

                        = \frac{64}{9}

therefore hypotenuse = \sqrt{\frac{64}{9}}

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the other two sides are   \frac{4}{3} and                                    \frac{8}{3}

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sergiy2304 [10]
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Step-by-step explanation:

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