He is walking 9/40 miles per hour. But in decimal form it would be 0.225
Answer:
(1.2. - 4.7)
Step-by-step explanation:
On a coordinate plane, a line is drawn from point A to point B. Point A is at (7,-2) and point B is at (-8,-9).
Now, it is asked the x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 5:8.
So, the coordinates of point C are
![[\frac{5 \times (- 8) + 8 \times 7}{5 + 8}, \frac{5 \times (- 9) + 8 \times (- 2)}{5 + 8}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B5%20%5Ctimes%20%28-%208%29%20%2B%208%20%5Ctimes%207%7D%7B5%20%2B%208%7D%2C%20%5Cfrac%7B5%20%5Ctimes%20%28-%209%29%20%2B%208%20%5Ctimes%20%28-%202%29%7D%7B5%20%2B%208%7D%5D)
= ![[\frac{16}{13}, \frac{-61}{13}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B16%7D%7B13%7D%2C%20%5Cfrac%7B-61%7D%7B13%7D%5D)
= (1.2. - 4.7) (Answer)
{Round to the nearest tenth}
Answer:
i belive its 35/8 3.14
Step-by-step explanation:
sorry if im wrong
Answer:
7.5 ft³/min
Step-by-step explanation:
Let x be the depth below the surface of the water. The height, h of the water is thus h = 10 - x.
Now, the volume of water V = Ah where A = area of isosceles base of trough = 1/2bh' where b = base of triangle = 4 ft and h' = height of triangle = 1 ft. So, A = 1/2 × 4 ft × 1 ft = 2 ft²
So, V = Ah = 2h = 2(10 - x)
The rate of change of volume is thus
dV/dt = d[2(10 - x)]/dt = -2dx/dt
Since dV/dt = 15 ft³/min,
dx/dt = -(dV/dt)/2 = -15 ft³/min ÷ 2 = -7.5 ft³/min
Since the height of the water is h = 10 - x, the rate at which the water level is rising is dh/dt = d[10 - x]/dt
= -dx/dt
= -(-7.5 ft³/min)
= 7.5 ft³/min
And the height at this point when x = 8 inches = 8 in × 1 ft/12 in = 0.67 ft is h = (10 - 0.67) ft = 9.33 ft
Answer:
16225
Step-by-step explanation:
You need to multiply