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docker41 [41]
2 years ago
14

On a bicycle, Laura started 4 miles from her house and rides 4 miles per hour away from her house.

Mathematics
1 answer:
mash [69]2 years ago
4 0

Answer:

d = 4 + 4h

Step-by-step explanation:

According to question d is the total distance from Laura's house at time h .

Initial distance from house = 4 miles

speed of Laura = 4 miles per hour

formula for distance = speed * time

distance covered when time is h hours = 4 miles per hour * h hours

                                                                  = 4h miles

Total distance from house is given as d, hence

d = Initial distance from house (4 miles) + distance covered when time is h hours (4h miles)

d = 4 + 4h

Thus, an equation to model this situation is d = 4 + 4h .

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Answer:

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Check the attachment for the diagram. Sine rule will be used to get the unknown side of the triangle.

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Given w = 3 in, ∠W=23° and ∠U=73°, on substituting into the equation above to get u we have;

\frac{u}{sin73^{0} } = \frac{3}{sin23^{0} }\\usin23^{0} = 3sin73^{0}\\u = \frac{3sin73^{0} }{sin23^{0} }\\u = \frac{2.87}{0.39} \\u = 7.358\\u = 7.4in

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