You can eliminate D right away. The sine is NEVER greater than one. That's because the denominator of the fraction is always the hypotenuse.

The definition of the sine is
Sin(x) = Opposite / hypotenuse.
Sin(x) = 10/26 = 5/13 The fraction reduces.

The answer is B
Done.

3 0

2 years ago

Please explain in steps!

iragen [17]

$3. \: {2 + 4^2} - 4+ 2 \\ = 2 + 16 - 4 + 2 \\ = 18 - 4 + 2 \\ = 14 + 2 \\ = 16 \\ \\ 4. \: {84 + 7}^{2} - 9 + 2 \\ = 91^{2} - 9 + 2 \\ = 8281 - 9 + 2 \\ = 8272 + 2 \\ = 8274 \\ \\ 5. \: {5 ^{2} + 7} + 5 - 6 \\ = 25 + 7 + 5 - 6 \\ = 32 + 5 - 6 \\ = 37 - 6 \\ = 31 \\ \\ 6. \: {4^{2} + 7} + 4 - 10 \\ = 16 + 7 + 4 - 10 \\ = 23 + 4 - 10 \\ = 27 - 10 \\ = 17 \\ \\ 7. \: 2 - {4 + 2}^{2} + 9 \\ = 2 - 6^{2} + 9 \\ = 2 - 36 + 9 \\ = - 34 + 9 \\ = - 25 \\ \\ 8. \: 3 - {6 + 3}^{2} + 9 \\ = 3 - 9^{2} + 9 \\ = 3 - 81 + 9 \\ = - 78 + 9 \\ = - 69 \\ \\ 9. \: {42 + 7}^{2} - 2 + 5 \\ = 49^{2} - 2 + 5 \\ = 2401 - 2 + 5 \\ = 2399 + 5 \\ = 2404 \\ \\ 10. \: {2^{2} + 5} \times 2 - 7 \\ = (4 + 5) \times 2 - 7 \\ = 9 \times 2 - 7 \\ = 18 - 7 \\ = 11 \\ \\ 11. \: 6 \times {66 + 11 - 5}^{2} \\ = 6 \times 77 - 5^{2} \\ = 6 \times 72^{2} \\ = 6 \times 5184 \\ = 31104 \\ \\ 12. \: {78 + 13}^{2} - 8 + 5 \\ = 91^{2} - 8 + 5 \\ = 8281 - 8 + 5 \\ = 8273 + 5 \\ = 8278$

5 0

3 years ago