A common denominatortor 9 and 12 is 3 and 6
Answer:
I think it would be 85 degrees.
A combination in this question, is combining 2 activities out of the 3.
The possible combinations are:
- Parade and Roller Coaster.
- Parade and Eat Ice Cream Cones.
- Roller Coaster and Eat Ice Cream Cones.
If you need the opposite order:
- Roller Coaster and Roller Coaster.
- Roller Coaster and Eat Ice Cream Cones.
- Eat Ice Cream Cones and Roller Coaster.
Hope This Helped! Good Luck!
Answer: the rate at which the distance between the boats is increasing is 68 mph
Step-by-step explanation:
The direction of movement of both boats forms a right angle triangle. The distance travelled due south and due east by both boats represents the legs of the triangle. Their distance apart after t hours represents the hypotenuse of the right angle triangle.
Let x represent the length the shorter leg(south) of the right angle triangle.
Let y represent the length the longer leg(east) of the right angle triangle.
Let z represent the hypotenuse.
Applying Pythagoras theorem
Hypotenuse² = opposite side² + adjacent side²
Therefore
z² = x² + y²
To determine the rate at which the distances are changing, we would differentiate with respect to t. It becomes
2zdz/dt = 2xdx/dt + 2ydy/dt- - - -- - -1
One travels south at 32 mi/h and the other travels east at 60 mi/h. It means that
dx/dt = 32
dy/dt = 60
Distance = speed × time
Since t = 0.5 hour, then
x = 32 × 0.5 = 16 miles
y = 60 × 0.5 = 30 miles
z² = 16² + 30² = 256 + 900
z = √1156
z = 34 miles
Substituting these values into equation 1, it becomes
2 × 34 × dz/dt = (2 × 16 × 32) + 2 × 30 × 60
68dz/dt = 1024 + 3600
68dz/dt = 4624
dz/dt = 4624/68
dz/dt = 68 mph
Answer:
You will use the z score to find this so need a z score chart.
Step-by-step explanation: Remember to take what you want (35 ounce) minus the mean( 29) then divide by the standard deviation(4). Then you look up this number on the z score chart to find your probability of less than 35 ounces. You could then do the same thing using 34 ounces since your final answer will be between these two numbers.
