Answer:
10+10
15+5
14+6
Step-by-step explanation:
like this lol
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:
shogun would most likely be found. on the battlefield
there is no inverse though
Answer: 
Step-by-step explanation:
Let be "x" the time in minutes that will take him to mow the entire park.
You know that he can mow 13 square feet in 1 minute and he has to mow 14,623 square feet.
Then, you can write the following proportion:

Solving for "x", you get:

To write that improper fraction as a mixed number:
- The quotient when you divide the numerator by the denominator of the fraction obtained, is
(This will be the whole number).
- The remainder of that division is
(This will be the numerator of the fraction).
- The denominator does not change.
Then:
