Step-by-step explanation:
2 + x + 2x = 14
3x + 2 = 14 (combine like terms)
3x = 12 (subtract 2 from both sides)
Hence the answer is 3x = 12. (B)
Answer:
1832 miles
Step-by-step explanation:
First we need to find the angle between the routes of the planes.
If one is N30°W and the other is S45°W, we can find the angle between the routes with the following equation:
30 + angle + 45 = 180
angle = 105°
Then, we need to find the distance travelled by each plane, using the formula:
distance = speed * time
The time is 1.5 hours, so we have that:
distance1 = 800 * 1.5 = 1200 km
distance2 = 750 * 1.5 = 1125 km
Now, to find the distance between the planes, we can use the law of cosines:
distance^2 = 1200^2 + 1125^2 - 2*1200*1125*cos(105)
distance^2 = 3356214.43
distance = 1832 miles
Volume of a cone=(1/3)πr²h
Volume of a cylinder=πr²h
The cone has the same radius (r) and height than the cylinder that the cone fits exactly inside of.
Data:
Volume of a cone=5 in³
Then:
(1/3)πr²h=5 in³
πr²h=3(5 in³)
πr²h=15 in³ (remember: volume of a cylinder=πr²h)
Then the volume of a cylinder that the cone fits exactly inside of would be:
15 in³
Answer:a
Step-by-step explanation:
u pick the right one
