Answer:
AC = 127,26 f distance from home plate to second base
Step-by-step explanation:
Let call A , B , C Home plate, first base and second base respectively
These three point form a right triangle with legs ( AB = BC = 90 feet)
we have an isosceles triangle with a right angle and two angles of 45⁰
So we need to compute distance AC (hypotenuse)
AC² = AB² + BC² ⇒ AC² = 2AB² ⇒ AC = AB √2
AC = 90 * 1,414
AC = 127,26 f
Answer:
algebra?x9b4
Step-by-step explanation:
Answer:
f(-2) = 3
Step-by-step explanation:
f(x) = x² + 3x +5
f(-2)=(-2)² + 3*(-2)+5
= 4 - 6 +5
= 3
Let h=height of water
Let r=radius of water surface
r/h=16/8 =2, so r=2h.
The volume of water is:
v=(1/3)×π×r²×h
=(1/3)×π×(2h)²×h
=4/3πh³
dv/dh=4πh^2
By chain rule:
dv/dt=dv/dh×dh/dt
but
dv/dt=4
thus:
4=(4πh)×dh/dt
dh/dt=4/(4πh²)
when h=6cm we have:
dh/dt=4/(4π6²)
=0.00884 cm³/min
Okay. so I'm gonna assume you know what factor out means--were gonna take out 5/6. what we need to know is, how does that affect our ending number 2/3? well, we're gonna have 5/6 times some stuff first off, right?
5/6 ( )
so what's in the parenthesis? well, if we distribute in our mind, S would just have to be by itself for it to work out. so we have
5/6 ( s )
but what about 2/3? well, if we're multiplying everything on the inside by 5/6, how can be get it to cancel and leave 2/3 alone? we could divide 2/3 by 5/6, right?
5/6 ( s + (2/3) / (5/6) )
now, when we distribute our 5/6, we'll have just 2/3 at the end. now let's simplify that end term so it looks a little better. if we divide by a fracion, that's the same as multiplying by the flipped version, so let's do that.
2/3 / 5/6 = 2/3 × 6/5 = 2 (6) / 5 (3) = 12/15
we can reduce 12/15 by dividing the top and bottom by three.
= 4/5
so our final answer would be:
5/6 [S + 4/5] you can redistribute to make sure it matches. Anyway, hope that helps!
