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Lunna [17]
3 years ago
11

Keesha Thompsons cousin is 8 years older than keesha. Write an expression for the age of keesha's cousin

Mathematics
1 answer:
Oliga [24]3 years ago
3 0

Answer:

y = 8 + x or

Keesha.cousin.age = 8 + Keesha.age

Step-by-step explanation:

II. When Keesha.cousin is older than Keesha 8 years

    Give y = 8 + x, when y is Keesha cousin.age, x is Keesha.age

            y = 8 + x

II. Prove by given Keesha is 10 years old.

            y = 8 + 10

            y = 18 or Keesha cousin is 18 years old.

Hope that help :)

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The question is an illustration of bearing (i.e. angles) and distance (i.e. lengths)

The distance between both lighthouses is 5783.96 m

I've added an attachment that represents the scenario.

From the attachment, we have:

\mathbf{\angle A = 180^o - 120^o\ 43'}

Convert to degrees

\mathbf{\angle A = 180^o - (120^o +\frac{43}{60}^o)}

\mathbf{\angle A = 180^o - (120^o +0.717^o)}

\mathbf{\angle A = 180^o - (120.717^o)}

\mathbf{\angle A = 59.283^o}

\mathbf{\angle B = 39^o43'}

Convert to degrees

\mathbf{\angle B = 39^o + \frac{43}{60}^o}

\mathbf{\angle B = 39^o + 0.717^o}

\mathbf{\angle B = 39.717^o}

So, the measure of angle S is:

\mathbf{\angle S = 180 - \angle A - \angle B} ---- Sum of angles in a triangle

\mathbf{\angle S = 180 - 59.283 - 39.717}

\mathbf{\angle S = 81}

The required distance is distance AB

This is calculated using the following sine formula:

\mathbf{\frac{AB}{\sin(S)} = \frac{AS}{\sin(B)} }

Where:

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So, we have:

\mathbf{\frac{AB}{\sin(81)} = \frac{3742}{\sin(39.717)}}

Make AB the subject

\mathbf{AB= \frac{3742}{\sin(39.717)} \times \sin(81)}

\mathbf{AB= 5783.96}

Hence, the distance between both lighthouses is 5783.96 m

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brainly.com/question/19017345

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