Answer: 22.575
If you round up, it is 22.6.
I hope you get a 100! Best of luck!!!
Answer:
1. ∠A = 71.9°
2. ∠B = 62.9°
3. ∠C = 27.5°
Step-by-step explanation:
By using a calculator, we have;
cos A = 0.31
sin B = 0.89
tan C = 0.52
1. Therefore, ∠A = cos⁻¹(0.31), inputting the digits in the calculator and looking for the inverse sign, we have;
∠A = cos⁻¹(0.31) = 71.94° = 71.9° to the nearest tenth of a degree.
2. For sin B = 0.89, we have;
∠B = sin⁻¹0.89 = 62.873° ≈ 62.9° with the answer rounded to the nearest tenth of a degree.
3. Similarly, for tan C = 0.52, inputting the values in the calculator and pressing the tan⁻¹ button, we have;
∠C = tan⁻¹(0.52) = 27.474°, which is 27.5° rounded to the nearest tenth of a degree.
Answer:
Step-by-step explanation:
9514 1404 393
Answer:
n = 24
Step-by-step explanation:
Multiply the given equation by the product of denominators. Then subtract 6n and go from there.
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<em>Alternate solution</em>
Any proportion can be written 4 ways. If we write this one "sideways," we have ...
6/8 = (n -6)/n
1 -1/4 = 1 -6/n . . . . . expand in parallel fashion
6/n = 1/4 . . . . . . . . subtract 1, multiply by -1
n = 24 . . . . . . . . . multiply by 4n
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<em>Another alternate solution (can be done mentally)</em>
The above "sideways" proportion can be reduced to ...
3/4 = (n -6)/n
The difference between values on the left is 1 unit. On the right, the difference between values is 6. (The numerator is 6 less than the denominator.) The denominator on the left (4) is 4 times the difference, so the denominator on the right (n) will likewise be 4 times the difference: n = 4·6 = 24. Check: 3/4 = 18/24.