Answer:
30+18 x
Step-by-step explanation:
Answer:
AC ≈ 5.03
Step-by-step explanation:
We can solve the problem above using the trigonometric ratio, they are;
SOH CAH TOA
sin Ф = opposite / hypotenuse
cosФ= adjacent/ hypotenuse
tan Ф = opposite / adjacent
From the diagram above, in reference to angle B;
opposite =AC and adjacent =BC
Since we have opposite and adjacent, the best formula to use is
tanФ = opposite / adjacent
tan B = AC / BC
tan 40 = AC/ 6
Multiply both-side of the equation by 6
6× tan 40 = AC/ 6 × 6
At the right-hand side of the equation, 6 will cancel-out 6 leaving us with just AC
6×tan 40 = AC
5.034598 = AC
AC ≈ 5.03 to the nearest hundredths
Answer:
(x, y) = (-2, -3)
WORK:
2x + 4y = -16 =
-2x + 2y = -2 =
(^ the two’s cancel out) =
6y = -18 =
(^ you need to divide 6 on both sides to get just y) =
6y/6 = -18/6 =
(^ the six’s cancel out) =
y = -3 =
(^ now you have to plug this in to get x) =
2x + 4(-3) = -16 =
2x - 12 = -16 =
(^ you need to add 12 on both sides to get rid of it on the left side to add it to -16 on the right side) =
2x = -4 =
2x/2 = -4/2 =
(^ now you divide 2 on both sides again to get just y, and they will cancel out) =
x = -2 =
THEREFORE YOU GET (-2, -3)
