x³+2x²-6x-12=x²•(x+2)-6(x+2)=(x+2)•(x²-6)
Answer:
<h2>1544 m³</h2>
Step-by-step explanation:
surface area = 2 × base + lateral area
base = (10×20)÷2 = 100
Lateral area = perimeter × height
= (20+14+14)×28
=1 344
Final answer :
surface area = 2 × base + lateral area
= 2 × 100 + 1344
= 200 + 1344
= 1544
Answer: 4 years after the original investment, it is approximately $1,093.
Step-by-step explanation:
Hi, to answer this question we have to apply the simple interest formula:
I = p x r x t
Where:
I = interest
P = Principal Amount
r = Interest Rate (decimal form)
t= years
Replacing with the values given
I = 1000x (2.25/100) x t
- It will triple in approximately 3 years. FALSE
I = 1000x (2.25/100) x 3 =67.5
1000+67.5 = 1067.5
- It will no longer grow after several years: False, it will grow because it has a growth rate.
- 4 years after the original investment, it is approximately $1,093. TRUE
I = 1000x (2.25/100) x 4 =90
1000+90 = $1090
- It will double in approximately 10 years.
I = 1000x (2.25/100) x 10 =225
1000+90 = $1225
Feel free to ask for more if needed or if you did not understand something.
Answer:
The correct option is;
5.89°
Step-by-step explanation:
The speed with which the plane flies = 350 mph
The direction of flight of the plane = N 40° E
The speed with which the wind blows = 40 mph
The direction in which the wind blows = S 70° E
Therefore, we have;
The resolution of the components of the motion of the plane, given as follows;
= 350 × sin(40°)·i + 350 × cos(40°)·j
The resolution of the components of the motion of the wind, given as follows;
= 40 × sin(70°)·i - 40 × cos(70°)·j
The resultant motion of the plane is given as follows;
= 262.563·i + 254.435·j
The direction of motion of the plane = tan⁻¹(262.563/254.435) ≈ N 45.9° E
Therefore, the plane's drift = Plane's Track - Plane's Heading = N 45.9° E - N 40° E ≈ 5.9° ≈ 5.89°
Therefore, the correct option is 5.89°.
