Answer:
distance travelled by sprinter = 100 m
Time taken = 11.21sec
∵speed = distance/time taken
= 100/9.83
= 10.17 m/s
Now we know, 1 km/h = 1000/3600 m/s
so, 1 m/s = 3600/1000 km/h = 18/5 km/h
∴ 10.17 m/s = 10.17 × 18/5 = 10.17 × 18/5 = 36.612 km/h
Hence, average speed = 36.612 km/h
Step-by-step explanation:
Circumference = 2pi * r
So
3pi = 2pi r divide away pi
3 = 2 r
(3/2) = r = 1.5 m
Area = pi ( r^2) = pi (1.5)^2 = 2.25 pi m^2 ≈ 7.07 m^2
cited from web2.0calc
A ∩ B = {3, 6, 9, 12} ∩ {2, 4, 6, 8, 10, 12}
= {6, 12}
There are an infinite number of different equations that have
x=2/3 as the solution, or as one of several solutions.
You didn't show us your list of choices, so we can't help you
pick the right one.
Just take each choice, one at a time. Write ' 2/3 ' in place of 'x'
in each equation, and simplify everything. You'll wind up with
one equation that's true, and the others will say something that's
nonsense.
The one that's true is the one that has x=2/3 as its solution.
<span>The two fires are about 70 feet from each other.
The assumption is that the ground is relatively level and that a right triangle will be made with the three points of the triangle being the ranger, the spot on the ground directly beneath the ranger, and the fire itself. So the distance to the first fire will be:
Calculate the angle. That will be 90° - 11.6° = 78.4°
The distance will be
tan(78.4) = X/60
60 tan(78.4) = X
60 * 4.871620136 = X
292.2972082 = X
And that's how far the 1st fire is from the ranger's station. Now for the 2nd
angle = 90° - 9.4° = 80.6°
60 tan(80.6) = X
60 * 6.040510327 = X
362.4306196 = X
And the distance between the two fires will be the difference in distance from the tower, so
362.4306196 - 292.2972082 = 70.13341146
Rounding to 2 significant figures gives 70 feet.</span>
