-13 = 4(5x - 1) - 11x
-13 = 20x - 4 - 11x
-9 = 9x
-1 = x
Answer/Step-by-step explanation:
1. B = 180 - (90 + 58) (sum of triangles)
B = 32°
Let's find a and b using trigonometric ratios:
Reference angle = 58°
Opposite = a = ?
Hypotenuse = c = 27
Adjacent = b = ?
✔️To find a, apply SOH:
Sin 58 = Opp/Hyp
Sin 58 = a/27
a = 27*Sin 58
a = 22.8972986 ≈ 22.9 (nearest tenth)
✔️To find b, apply CAH:
Cos 58 = Adj/Hyp
Cos 58 = b/27
b = 27*Cos58
b = 14.3 (nearest tenth)
2. B = 180 - (90 + 63) (sum of triangles)
B = 27°
Let's find a and b using trigonometric ratios:
Reference angle = 63°
Opposite = a = 11
Hypotenuse = c = ?
Adjacent = b = ?
✔️To find b, apply TOA:
Tan 63 = Opp/Adj
Tan 63 = 11/b
b = 11/Tan 63
b = 5.6 (nearest tenth)
✔️To find c, apply SOH:
Sin 63 = Opp/Hyp
Sin 63 = 11/c
c = 11/Sin 63
c = 12.3 (nearest tenth)
Answer:
Step-by-step explanation:
<u>The difference in balances is:</u>
- 5000*(1 + 0.04)^3 - 5000*(1 + 0.04*3) =
- 5624.32 - 5600 =
- 24.32
Answer: what of the following
Step-by-step explanation:
Answer: there are 8 quarters in the jar
Step-by-step explanation:
Let x represent the number of nickels that is inside the jar.
The total number of coins inside the jar is 20.
Probability is expressed as
Number of possible or favorable outcomes/total number of outcomes.
The probability of selecting a nickel is 0.6. This is expressed as
0.6 = x/20
Cross multiplying, it becomes
x = 20 × 0.6
x = 12
Since there are 12 nickels inside the jar, then the number of quarters would be
20 - 12 = 8
