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d1i1m1o1n
2 months ago
13

Sin70cos10-cos70sin10

Mathematics
1 answer:
Inessa [12.5K]2 months ago
3 0
Using the identity sin(a-b) = sina.cosb - cosa.sinb

, with a set to 70 and b to 10, we find that sin(70-10) equals sin(60) which is √3/2

. Thus, Sin70cos10 - cos70sin10 results in sin60 = √3/2
.
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AnnZ [12381]

Answer:

The result to your inquiry is 2 7/24.

Step-by-step explanation:

Data:

Hank's cows yield = 4 3/4 and 4 1/8

Debra's cows yield = 5 1/2 and 5 2/3

Process:

1.- Convert the mixed numbers into improper fractions:

For Hank: (16 + 3)/4 = 19/4 and (32 + 1)/8 = 33/8.

For Debra: (10 + 1)/2 = 11/2 and (15 + 2)/3 = 17/3.

2.- Add Hank's and Debra's milk quantities:

Hank: 19/4 + 33/8 = 38/8 + 33/8 = 71/8.

Debra: 11/2 + 17/3 = 33/6 + 34/6 = 67/6.

3.- Subtract Hank's total from Debra's total:

67/6 - 71/8 = (268 - 213)/24.

Thus, it simplifies to 55/24.

- Convert back to a mixed number:

2

24 55

7

Where 55/24 equals 2 7/24.

4.- Conclusion:

Debra produced 2 7/24 more milk than Hank.

4 0
2 months ago
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