Answer:
answer is 175
Step-by-step explanation:
i solved it by similarity in triangle small triangle and big triangle are similar to each other.
Answer:
23.3
Step-by-step explanation:
Use phyth. Thm.
a^2 + b^2 = c^2
A and B are the side lengths, and C is the hypotenuse. The hypotenuse is across the right angle.
Since you only have one side length and the hypotenuse this what your equation will look like:
30^2 + x^2 = 38^2
900 + x^ = 1444
544 = x^2
x = roughly 23.3
Answer:
the amount of time until 23 pounds of salt remain in the tank is 0.088 minutes.
Step-by-step explanation:
The variation of the concentration of salt can be expressed as:

being
C1: the concentration of salt in the inflow
Qi: the flow entering the tank
C2: the concentration leaving the tank (the same concentration that is in every part of the tank at that moment)
Qo: the flow going out of the tank.
With no salt in the inflow (C1=0), the equation can be reduced to

Rearranging the equation, it becomes

Integrating both sides

It is known that the concentration at t=0 is 30 pounds in 60 gallons, so C(0) is 0.5 pounds/gallon.

The final equation for the concentration of salt at any given time is

To answer how long it will be until there are 23 pounds of salt in the tank, we can use the last equation:

Answer:
No, (-1,4) is not a solution.
Step-by-step explanation:
This is actually a simple problem...don't overcomplicate it!
All you need to do is plug the values into the equation and solve!
y < 2x + 5
4 < 2(-1) + 5
4 < 3