Answer:
KL = 15
Step-by-step explanation:
Given that,
Point L is on the line segment KM.
We have, KM=5x+10, LM=4x, and KL=3x
ATQ,
KM = KL + LM
Putting all the values, we get :
5x+10=3x+4x
5x+10 = 7x
Taking like terms together
5x-7x=-10
-2x=-10
x=5
Put x = 5 in KL = 3x
KL = 3(5) = 15
So, the value of length KL is 15.
Answer:

Step-by-step explanation:
Water is being pumped into an inflated rubber sphere at a constant rate of 0.03 cubic meters per second.
So, dV/dt = 0.03.
We want to show that dS/dt is directly proportional to 1/r.
In other words, we want to establish the relationship that dS/dt = k(1/r), where k is some constant.
First, the volume of a sphere V is given by:

Therefore:

Next, the surface area of a sphere S is given by:

Therefore:

We can divide both sides by 2:

We can substitute this into dV/dt. Rewriting:

So:

Since dV/dt = 0.03 or 3/100:

Therefore:

Where k = 3/50.
And we have shown that dS/dt is directly proportional to 1/r.
Answer:
−
11150
/3
Step-by-step explanation:
You are beautiful!
Answer:
1.35
Step-by-step explanation:
Answer:
I would say parallelogram. So the rectangle still fits but more shapes can be applied.