9514 1404 393
Answer:
10.73 ft/s
Step-by-step explanation:
When the runner is halfway to first base, the triangle formed by his position and the first and second bases is a right triangle with legs of 45 ft and 90 ft. The angle between the runner's direction and the line from his position to 2nd base is ...
angle = arctan(90/45) ≈ 63.43°
The "speed made good" in the direction of 2nd base is the product of the cosine of this angle and the runner's speed toward first.
speed toward 2nd = cos(63.43°)×(24 ft/s) ≈ 10.73 ft/s
The rate the runner's distance to 2nd base is decreasing is 10.73 ft/sec.
Set the equation equal to zero.
9x+6=0
Subtract 6 from both sides
9x = -6
Divide both sides by 9
x=-6/9
or -2/3
2(5x-3)=0
Distribute
10x-6=0
add 6 to both sides
10x=6
Divide by 10 on both sides
x=6/10 or 4/5
5y+14=0
-14 from both sides
5y=-14
divide both sides by 5
y=-14/5
or -2 and 4/5
Answer:
Density = 5751.66 gram per litre
Step-by-step explanation:
It is given that the density of a certain material 6 pounds per pint.
The conversion from pint to liter is as follows :
1 pint = 0.473 litre
The conversion from pounds to kg is as follows :
1 pound = 453.59 kg
We need to express the density from pounds per pint to grams per liter.
1 pound per pint = 958.611 gram per litre
So,
6 pound per pint = 958.611 × 6 gram per litre
6 pound per pint = 5751.66 gram per litre
Answer:
$260
Step-by-step explanation:
620-100=520 ( to make both of them equal)
520÷2=$260
Hope this helps! Thanks.
Answer:
48cm
Step-by-step explanation:
8 x 6