Answer:
3600
Step-by-step explanation:
Since the question gives you p, you replace p (which is just a placeholder) with 5.
Your equation should look like this:
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:F B G E A
Step-by-step explanation:
1. F( a rigid transformation only changes the position but the size and angles remain the same)
2. B(The angle of rotation symmetry is the smallest angle the figure can be rotated to coincide with itself.)
3. G(Congruent means that it is the same size and shape)
4. E(Translation moves the whole shape including the points so that the shape and sizes remain the same)
5. A(Though it's position may change, reflective symmetry ensures that no other parts of the shape can change no matter what.)
It would be -70. Your welcome
