Answer: 6 sqrt2
Step-by-step explanation:
Sqrt = square root shorthand.
In a 45-45-90, the legs can be represented as x and the hypotenuse as x root2.
12 = x (sqrt2)
12/sqrt2 = x
Let’s rationalize this by putting the square root on top:
12sqrt2 / 2
Simplify:
6sqrt2
The formula for surface area of a sphere is A=4*PI*r^2
Using that formula and the known surface are we can find the radius. We can then use that to find the volume.
500 = 4*PI*r^2
Divide both sides by 4:
500/4 = PI *r^2
125 = PI *r^2
Divide both sides by PI
125/PI = r^2
39.79 = r^2
r = SQRT(39.79)
r = 6.3 cm
Now we can find volume using V=4/3*PI*r^3
V = 4/3 *PI *6.3^3
V= 1051.3
The answer is C
Its a bc of the roation it made to a 90 degrees
If a^2+b^2=c^2 then it's a right triangle
If c^2>a^2+b^2 then it's obtuse
If c^2< a^2+b^2 then it's acute
(C)
Step-by-step explanation:
We are going to use the following conversions for this problem:
1 km = 1000 m
1 hr = 60 min
The key is to multiply the given quantity with factors such that the unwanted units cancel out, leaving only the ones we need. In this case, we need meters and minutes. The set up goes like this:
