Answer: 27.7 square inches.
Step-by-step explanation:
Let 'a' be the side of equilateral triangle.
Then the perimeter of the triangle = a+a+a=3a
Given: Perimeter of the equilateral triangle = 24 inches We know that the area of a equilateral triangle is given by :-
You're right on what you've been doing
Answer:
We want a polynomial of smallest degree with rational coefficients with zeros in 
, 
and -3. The last root gives us the factor (x+3). Hence, our polynomial is
where 
is a polynomial with rational coefficients and roots and . The root gives us a factor 
, but in order to obtain rational coefficients we must consider the factor 
.
An analogue idea works with . For convenience write 
. This gives the factor 
. Hence,
Notice that 
. So, in order to satisfy the last condition we divide by 3 the whole polynomial, without altering its roots. Finally, the wanted polynomial is
Step-by-step explanation:
We must have present that any polynomial it's determined by its roots up to a constant factor. But here we have irrational ones, in order to eliminate the irrational coefficients that a factor of the type 
will introduce in the expression, we need to multiply by its conjugate 
. Hence, we will obtain that have rational coefficients. Finally, the last condition is given with the intention to fix the constant factor. Usually it is enough to evaluate in the point and obtain the necessary factor.
Answer:
Since he can't work a fraction of a day, he'll have to work at least 6 days to have enough money for the tank. The inequality hat represents his situation is 23*x + 20 >=140.
Step-by-step explanation:
In order to create an inequality to this problem we first need to take the initial amount he has and sum it with the days he has to work "x" multiplied by the amount he earns each day. We then have:
saleem money = 20 + 23*x
Since he wants to buy a $140 fish tank he needs to work until his money is greater or equal than this amount. So we have:
23*x + 20 >= 140
23*x >= 140 -20
23*x >= 120
x >= 120/23
x >= 5.22
Since he can't work a fraction of a day, he'll have to work at least 6 days to have enough money for the tank. The inequality hat represents his situation is 23*x + 20 >=140.
Well i want to tell you the answer!! It is 76CJ
