A ship travels 60 miles in the direction S 45° E, then travels 150 miles in the direction S 20° W. What is the distance, x, from
2 answers:
Answer:
183.6 miles
Step-by-step explanation:
Kindly check the picture attached for the solution diagram
Using the cosine formula (Diagram has two sides and an included angle)
x² = y² + z² - 2zy * cosX
x² = 150² + 60² - 2(150*60) * cos115
x² = 22500 + 3600 - 18000 * −0.422618
x² = 22500 + 3600 + 7607.1287
x² = 33707.128 miles
x = √33707.128
x = 183.59501
x = 183.6 miles
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<h2>Answer:</h2>
<em>Rounded to the nearest hundredth the volume of the composite figure is:</em>
<em>1308 33 cubic millimeters</em>
<h2>Explanation:</h2>Hello! I wrote the complete question in a comment above. The volume of a cylinder is defined as:
While the volume of half a sphere is:
Since we have 2 half spheres, then the volume of these is the same as the volume of a sphere:
Then, the composite figure is:
The radius of the cylinder is the same of the radius of each half sphere. So: