Answer:
The constant of proportionality is 12.
Step-by-step explanation:
Let's take a look at the formula give to us:
48=4k
First, we have to isolate the variable, K, by dividing 4 on both sides.
48/4=4/4 k
48/4=12
12=k
We can check the answer by plugging it back into the equation:
12*4=48
48=48
Hence, the variable k equals 12.
Answer:
Seven
Step-by-step explanation:
(())(())(())))
Answer:
x = 28.32 units.
Step-by-step explanation:
Given:
Longer leg = 21
Shorter leg = 19
Hypotenuse = x
To Find:
Hypotenuse = x = ?
Solution:
Pythagoras Theorem States that
Substituting of the given value above equation we get
Whooh
SA=4pir²
take derivitive
dSA/dt=8pir dr/dt
and do the volume as well
V=(4/3)pir³
dV/dt=4pir² dr/dt
we need to solve for dV/dt
to do taht we need dr/dt
so
dSA/dt=8pir dr/dt
given dSA/dt=3pi cm/sec
r=2
3pi=8pi2 dr/dt
3=16 dr/dt
3/16=dr/dt
now do the volume
dV/dt=4pir² dr/dt
r=2
dr/dt=3/16
dV/dt=4pi2² (3/16)
dV/dt=16pi(3/16)
dV/dt=3pi
nice
the volume of the sphere is decreasing at 3pi cm/sec as well
No, <span>hypotenuses of these two triangles won't lie along the same line </span><span>because one is larger than the other
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In short, Your Answer would be Option B
Hope this helps!</span>
