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lapo4ka [179]
2 years ago
8

Find the angular displacement of 12.2 revolutions. Use π=3.14. Round the answer to the nearest tenth.

Mathematics
1 answer:
aleksandrvk [35]2 years ago
3 0
The angular displacement may be solved using the concept that each revolution is equal to 2π rad. Since the problem asked for the angular displacement of 12.2 rev, multiply 2π by 12.2. This operation gives an answer of 122π/5 which is approximately equal to 76.6. Thus, the answer is the third choice. 
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If m∠2 = 41°, m∠5 = 94°, and m∠10 = 109°, find each measure.
Orlov [11]

Answer:

Step-by-step explanation:

It's given in this question,

m∠2 = 41°, m∠5 = 94° and m∠10 = 109°

Since, ∠2 ≅ ∠9 [Alternate interior angles]

m∠2 = m∠9 = 41°

m∠8 + m∠9 + m∠10 = 180° [Sum of angles at a point of a line]

m∠8 + 41 + 109 = 180

m∠8 = 180 - 150

m∠8 = 30°

Since, m∠2 + m∠7 + m∠8 = 180° [Sum of interior angles of a triangle]

41 + m∠7 + 30 = 180

m∠7 = 180 - 71

m∠7 = 109°

m∠6 + m∠7 = 180° [linear pair of angles]

m∠6 + 109 = 180

m∠6 = 180 - 109

        = 71°

Since m∠5 + m∠4 = 180° [linear pair of angles]

m∠4 + 94 = 180

m∠4 = 180 - 94

m∠4 = 86°

Since, m∠4 + m∠3 + m∠9 = 180° [Sum of interior angles of a triangle]

86 + m∠3 + 41 = 180

m∠3 = 180 - 127

m∠3 = 53°

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m∠1 + 41 + 53 = 180

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m∠1 = 86°

8 0
3 years ago
What is the sum of ten terms of an infinite geometric series if the first term is 8 and the ratio is 1/2
xxTIMURxx [149]

Answer:

We use the formula:

S 10 = 8 · [(1/2)^9 - 1] / (1/2 - 1 );

Then, S 10 = 8 · ( 1/512 - 1 ) / ( 1/2 - 1 );

S 10 = 8 · ( - 511 / 512 ) / (-1 / 2 );

S 10 = ( - 511 / 64 ) · ( - 2 );

S 10 = + 511 / 32;

S 10 = 15.96;

Step-by-step explanation:


6 0
3 years ago
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