The answer is 18.5, I believe
good luck
Rounded to one decimal place means to round to the nearest tenth (i.e. to the nearest 0.1)
4.25 (rounded to the nearest tenth) = <u><em>4.3</em></u>
Answer:
29.9 °F
Step-by-step explanation:
The formular for mean is given as;
Mean = Sum of Terms / Number of terms
Number of terms = 6
Sum of terms = 35.5 + 30.8 + 27.3 + 32.1 + 23.8 + 29.9 = 179.4
Mean = 179.4 / 6 = 29.9
Answer:
$26.95, you save $22.05
Step-by-step explanation:
$49 x 0.45 = $22.05 savings, 49 - 22.05 = 26.95
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
