Question

Help me with these math questions..... WITH SCREENIES

Answer 1

$adj(x) = \frac{\sqrt{7}}{3}$

$opp(y) = \frac{\sqrt{2}}{3}$

adj² + opp² = hyp²

$(\frac{\sqrt{7}}{3})^{2} +(\frac{\sqrt{2}}{3})^{2} = hyp^{2}$

$\frac{7}{9} +\frac{2}{9} = hyp^{2}$

1 = hyp²

1 = hyp

sin = $\frac{opp}{hyp} =\frac{\sqrt{2}}{3}$

cos = $\frac{adj}{hyp} =\frac{\sqrt{7}}{3}$

tan = $\frac{opp}{adj} =\frac{\sqrt{2}}{sqrt\{7}=\frac{\sqrt{14}}{7}}$

csc = $\frac{hyp}{opp} =\frac{3}{sqrt\{2}=\frac{3\sqrt{2}}{2}}$

sec = $\frac{hyp}{adj} =\frac{3}{sqrt\{7}=\frac{3\sqrt{7}}{7}}$

cot = $\frac{adj}{opp} =\frac{\sqrt{7}}{sqrt\{2}=\frac{\sqrt{14}}{2}}$

****************************************************************

Answer: 8052

Step-by-step explanation:

$A = Pe^{kt}$

$5500 = 5000e^{k(3)}$

$\frac{5500}{5000} = e^{3k}$

$1.1 = e^{3k}$

$ln1.1 = lne^{3k}$

ln1.1 = 3k

$\frac{ln1.1}{3}=k$

0.03177 = k

$A = Pe^{0.03177t}$

$A = 5500e^{0.03177(12)}$

$A = 5500e^{0.3812}$

$A = 5500(1.4641)}$

A = 8052.55

****************************************************************

Answer: (2, 9)

Step-by-step explanation:

3x - 8y = -66   →   2(3x - 8y = -66)   →   6x - 16y = -132

2x - 7y = -59   →  -3(2x - 7y = -59)   →  -6x + 21y = 177

                                                                        5y = 45

                                                                          y  = 9

2x - 7y = -59

2x - 7(9) = -59

2x - 63 = -59

2x         = 4

x          = 2