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m_a_m_a [10]
3 years ago
8

Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary.

Mathematics
1 answer:
earnstyle [38]3 years ago
3 0

Here given angle B = 71°, side a = 11 cm, side c = 18cm.

We have to find the area of a triangle.

There is a formula to find the area of a triangle when two sides and angle between them given.

The formula is 1/2 × a × c × sin (B)

So, the area of the triangle

= 1/2 × 11 × 18 × sin(71°) cm²

= 1/2 × 11 ×18 × (0.945518575599) cm²

=1/2 × (187.212677968602) cm²

= 93.606338984301 cm²

We have to round the answer to the nearest hundredth.

So the required area of the triangle = 93.61 cm²

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Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 2 inches, and the larger gear has a ra
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Answer:

Let r represent the radius of the smaller circle and R the radius of the larger circle.

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For one complete rotation of the smaller circle, the larger circle is rotated through: (3/7)*(360) = 154.3 degrees

Part 2:

For one complete rotation of the larger circle, the larger circle is rotated through: (7/3)*(360) = 840.0 degrees

This is equivalent to (840/360) = 2.3 rotations

Alternatively, use the ratios:

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Step-by-step explanation:

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