Answer:
(a is size of side of triangle)
the perimeter of equilateral triangle =3a
or, 36=3a
Thus, a = 13cm
area of equilateral triangle
=√3/4*(a^2 )
=√3/4*(13^2)
=73cm^2
Answer:
C(x) = 5x + 20 (for members)
C(x) = 3.5x (for non-members)
Step-by-step explanation:
Cost of membership = $20
Price of a game per month = $5
So, the linear equation to compute the total cost for a member can be computed by:
C(x) = 5x + 20
where x is the number of games per month
On the other hand, non-members can get one more game per month for $7 which means they get 2 games for $7. The price for a single game is $7/2 = $3.5 a month.
The linear equation to compute the total cost for a non-member is:
C(x) = 3.5x
where x is the number of games per month.
The following system of equations can be used to decide whether to become a member or not, by substituting the number of games in place of x and finding out the total cost.
C(x) = 5x + 20 (for members)
C(x) = 3.5x (for non-members)
For this case we have to:
x: Let the variable representing the unknown number
We algebraically rewrite the given expression:
Twice a number plus 10, is represented as:
Three times that number less 4. is represented as:
Thus, the complete expression is:
Subtracting 3x from both sides of the inequality:
Subtracting 10 from both sides of the inequality:
Equal signs are added and the same sign is placed:
We multiply by -1 on both sides, taking into account that the sense of inequality changes:
The solution is given by all values of "x" less than 14.
Answer:
Answer: It would take 40 minutes to mow a lawn with a mower containing 12-inch wide blades.
Step-by-step explanation:
Answer:
D. -10
Step-by-step explanation:
The sum of a triangle = 180°, therefore,
64° + 63° + x + 63 = 180°
Add like terms
x + 190° = 180°
Subtract 190 from each side
x + 190 - 190 = 180 - 190
x = -10
