The correct way is to plug in the answer back into the equation and see if it results in the correct solution.
Answer:
Step-by-step explanation:
Alrighty let's do this.
We know that formula for the Area of a triangle is:
They give us the area as 
, so let's include it in the equation.
Now we reach a stage where we have 2 unknown variables! That means we can't solve it in its current state. So the idea you should have in cases like these where you have 2 or more unknown variables is, "Can I represent this one variable in terms of another variable?" In this case you can do exactly that. You can represent height in terms of length of the base. We are told the height of the triangle is 4 meters less than the base. That is telling us that 
So replace 
in the equation with 
.
You will now get:
Now we can work towards solving. Let's get simplifying.
bring everything to one side so we can make a quadratic and factor:
We get that 
.
Since we need the height of the triangle we'll need to call back on what h is. We found earlier that 
, so to find h, we just sub in our b value into that.
We find that 
Step-by-step explanation:
1) -5n+10n
= 5n
2) -x-9+2x-10
= 2x-x-9-10
= x-19
3) -5(x-10)-x
= -5x+50-x
= -6x+50
4) 9-5(1-7x)
= 9-5+35x
= 35x+4
5) y^2-x
= 3^2-2
= 9-2
= 7
Do the remain questions by yourself, you can do it!
Answer: Hello mate!
each school graduate has a 68% to find a job in their chosen field within a year after graduation.
And we want to know the probability for a randomly chosen group of 11 graduates to all get a job in their area within a year of graduating.
(you used the numbers 6868% and 1111, I am assuming that you write this wrong and repeated the numbers)
Ok! so each of the 11 students has the same probability of 0.68 to find the job. Then the joint probability for the 11 events ( where the events is that each one finds a job) is the product of the probability for each one.
P = (0.68)^11 = 0.01437
and if we round it to the nearest thousandth we get:
p = 0.014
Answer:
while installing a window in an older home, you find that the measurements are not square and will need to shim one side. you find a packet of shims that have 0.25 inch marked on the outside of the wrapper. What fraction of an inch is 0.25, reduce to its lowest terms 0.30
Step-by-step explanation:
