We have been given that Maria put trim around a banner that is the shape of a triangle. Each side is 21 inches long.
The amount of trim will be equal to perimeter of triangle. The perimeter of given triangle will be 3 times each side length that is
inches.
Now we need to convert 63 inches into feet.
12 inches = 1 feet
63 inches =
feet = 5.25 feet.
We are also told that Maria has
foot of trim left, so total length of trim would be trim used plus trim left that is
feet.
Since we need to find length of trim in yards, so we will convert 6 feet into yards.
3 feet = 1 yard
6 feet =
yards = 2 yards
Therefore, the length of the trim was 2 yards.
The probability of getting the same colour twice is approximately 34%.
Answer:
ans: 4/729
Step-by-step explanation:
here,
-2 ^2 = 4
and
(3^3)^2 = 3^6 = 729
= 4/729
Answer:
C. is proportional.
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
Using the coefficients of the polynomial and evaluating for h = - 3
- 3 | 1 - 4 - 9 36
↓ - 3 21 - 36
-------------------------
1 - 7 12 0 ← remainder
Since remainder is 0 then (x + 3) is a factor, so
y = (x + 3)(x² - 7x + 12)
To factor the quadratic
Consider the factors of the constant term (+ 12) which sum to give the coefficient of the x- term (- 7)
The factors are - 4 and - 3, since
- 4 × - 3 = + 12 and - 4 - 3 = - 7, then
x² - 7x + 12 = (x - 4)(x - 3), and
y = (x + 3)(x - 4)(x - 3)