Answer:
A(x) = (24 -2x)√(6(x -6))
Step-by-step explanation:
Heron's formula for the area of a triangle in terms of sides a, b, and c is ...
A = √(s(s -a)(s -b)(s -c))
where s is the semi-perimeter.
Here, we have s = 24/2 = 12, and a = b = x, c = 24-2x. So, the area is ...
A = √(12(12 -x)(12 -x)(12 -(24 -2x)) = (12 -x)√(12(2x -12))
A = 2(12 -x)√(6(x -6))
Answer: question 1: 20 question 2: 21 question 3: 17, 19, 23
Step-by-step explanation:
You would multiply both and then the answer you would put into ratio form
Answer:
x = 19
Step-by-step explanation:
148 and 7x+15 are alternate interior angles and alternate interior angles are equal when the lines are parallel
148 = 7x+15
Subtract 15 from each side
148-15 = 7x+15-15
133 =7x
Divide each side by 7
133/7 =7x/7
19=x
You will want to subtract the amount he ran on Monday from the amount on Tuesday. In order to subtract fractions, we must set them to the same denominator (bottom number). In order to do this, we must multiply 3/5 by 6/6 (the denominator on tuesday) which gets us 18/30. Then, for Tuesday, we must multiply 2/6 by 5/5 (the denominator on Monday) which is 10/30. Now, we can do Monday-Tuesday, 18/30-10/30 which gets us 8/30, if we simplify this, we get 4/15 :)
