Question

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

Answer 1

`adj(x) = (√(7))/(3)`

`opp(y) = (√(2))/(3)`

adj² + opp² = hyp²

`((√(7))/(3))^(2) +((√(2))/(3))^(2) = hyp^(2)`

`(7)/(9) +(2)/(9) = hyp^(2)`

1 = hyp²

1 = hyp

sin =
`(opp)/(hyp) =(√(2))/(3)`

cos =
`(adj)/(hyp) =(√(7))/(3)`

tan =
`(opp)/(adj) =\frac{√(2)}{sqrt\{7}=(√(14))/(7)}`

csc =
`(hyp)/(opp) =\frac{3}{sqrt\{2}=(3√(2))/(2)}`

sec =
`(hyp)/(adj) =\frac{3}{sqrt\{7}=(3√(7))/(7)}`

cot =
`(adj)/(opp) =\frac{√(7)}{sqrt\{2}=(√(14))/(2)}`

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Answer: 8052

Explanation:

`A = Pe^(kt)`

`5500 = 5000e^(k(3))`

`(5500)/(5000) = e^(3k)`

`1.1 = e^(3k)`

`ln1.1 = lne^(3k)`

ln1.1 = 3k

`(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

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Answer: (2, 9)

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