Circumference = pi x diameter
So for this it is
36 = 3.14 x d (d = r x 2)
36 / 3.14 = 2r
11.46 = 2r
11.46 / 2 = r
5.73 = r
The pic is blurry, but looks like 18x²-21x-15
(3x-5)(6x+3) is the factored form.
3 and 6 are the factors of 18
-5, 3 or -3, 5 are the factors of -15
I line them up like this
3 -5
6 3
then I multiple them diagonally: 3*3=9, -5*6=-30, the sum of 9 and -30 is exactly -21, the coefficient for x. (If the sum doesn't make -21, I'd switch -5 and 3, or change to -3 and 5 to try again.)
so the factored form is (3x-5)(6x+3)
Answer:
45% of students prefer vanilla ice cream.
Step-by-step explanation:
549 + 671 = 1220 total students
549 / 1220 = 0.45 or 45%
59 meters kkStep-by-step explanation:
The ingredients given are for 4 dozen cookies; however, Christian only want to make one dozen, meaning he requires only 1/4 the ingredients.
1/4 of 2 1/4 cups of while sugar is found the following way.
First, we write 2 1/4 as an improper fraction

1/4 of this is

Hence, Christian requires 9/16 cups of white sugar.
Similarly, the 1/4 of 3/4 cups of brown sugar is

Hence, Chrisitan requires 3/16 cups of brown sugar.
Therefore, the total cups of sugar required is the sum of

3/4 cups of sugar.