Answer:
18^5
Step-by-step explanation:
18^9 ÷ 18^4
= 18 ^ (9-4)
= 18 ^ 5
Answer:
The answer to your question is Area = 3240 ft² or Area = 360 yd²
Step-by-step explanation:
Data
length = 30 yd
width = 36 ft
Area = ? ft²
Area = ? yd²
Process
1.- Convert the units
1 yd --------------------- 3ft
30 yd ------------------ x
x = (30 x 3)/1
x = 90 ft
1 yd ------------------- 3 ft
x ------------------- 36 ft
x = (36 x 1) / 3
x = 12 yd
2.- Calculate the area of the rectangle in ft²
Area = length x width
-Substitution
Area = 90 x 36
= 3240 ft²
3.- Calculate the area in yd²
Area = 30 x 12
= 360 yd²
The value of x is 2 and KNL will be 102
When put into standard form, the equation turns out like this:
-2m^4-6m^2+4m+9
Answer:
212m
Step-by-step explanation:
The set up will be equivalent to a right angled triangle where the height is the opposite side facing the 45° angle directly. The length of the rope will be the slant side which is the hypotenuse.
Using the SOH, CAH, TOA trigonometry identity to solve for the length of the rope;
Since we have the angle theta = 45° and opposite = 150m
According to SOH;
Sin theta = opposite/hypotenuse.
Sin45° = 150/hyp
hyp = 150/sin45°
hyp = 150/(1/√2)
hyp = 150×√2
hyp = 150√2 m
hyp = 212.13m
Hence the length of the rope for the kite sail, in order to pull the ship at an angle of 45° and be at a vertical height of 150 m is approximately 212m
