Answer:
∠MON = 57°
Step-by-step explanation:
∠LOM + ∠MON = ∠LON ← substitute values
3x + 20 + 2x + 33 = 113, that is
5x + 53 = 113 ( subtract 53 from both sides )
5x = 60 ( divide both sides by 5 )
x = 12
Hence
∠MON = 2x + 33 = (2 × 12) + 33 = 24 + 33 = 57°
-10. It is negative, so it it not a whole number. It can be written as a ratio, so it is rational.
Hope that helped you!
we have

Step 1
Swap x and y

Step 2
Solve for y


Square root both sides


Step 3
Let


therefore
<u>the answer is the option D</u>

Answer:
15.95 feets
Step-by-step explanation:
Given that:
Angle of elevation = 62°
Using trigonometric relation :
Tanθ = opposite / Adjacent
From the drawing attached :
Opposite = 30 feets
Distance between girl and lighthouse = d
Tan 62 = 30 / d
1.8807264 * d = 30
d = 30 / 1.8807264
d = 15.951283
d = 15.95 feets
Step-by-step explanation:
1st year interest calculated = 3.25/100 × $4500/1 = $146.25
2nd year principal = 1st year principal + 1st year interest = $4500 + $146.25 = $4646.25. 2nd year interest calculated = 3.25/100 ×$4646.25/1 =$151
3rd year principal = 2nd principal + 2nd year interest = $4646.25 + $151 = $4797.25. 3rd year interest calculated = 3.25/100 × $4797.25/1 = $155.91
4th year principal = 3rd year principal + 3rd year interest =$4797.25 + $155.91 =$4953.16. 4th year principal calculated = 3.25/100 × 4953.16/1 =$160.98
5th year principal = 4th year principal + 4 year interest = &4953.16 +$160.98 = $5114.14. 5th year interest calculated = 3.25/100 × 5114.14/1 =$166.21
6th year principal =5th year principal + 5th year interest = $5114.14 + $166.21 =$5280.35. 6th year interest calculated = 3.25/100 × 5280.35/1 =$171.61
Amount = main principal + compound interest =$4500 +&146.25 +$151+$155.91+$160.98+$166.21+$171.61 =$5451.96