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4 years ago

See image for question.Please show workings and diagrams.

Mathematics

1 answer:

ale4655 [162]4 years ago

3 0

Answer:

a) 7 km
b) 298°

Step-by-step explanation:

See attached diagram (not to scale).

All given details reflected.

a) Find the measure of XZ using the law of cosines:

y = √(5² + 3² - 2*5*3*cos 135°) = 7 km (rounded)

b) Now using the law of sines find the measure of angle X:

7 / sin 135° = 5 / sin X
sin X = 5 sin 135° / 7
m∠X = arcsin (5 sin 135° / 7 ) = 28° (rounded)

The bearing of Z from X is:

270° + 28° = 298°

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Answer:

There are 22.5 meters of silver yarn

Step-by-step explanation:

Gold yarn : bronze yarn : silver yarn

10 : 7 : 3

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silver yarn = 3

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3 years ago

See image for question.Please show workings and diagrams.​

See image for question.Please show workings and diagrams.