Answer:
Jacob ran 40 yards more than Ali.
Step-by-step explanation:
Football field is in the shape of a rectangle having dimensions 120 yards × 50 yards
Since Jacob runs around the perimeter of the field from one corner to other corner, therefore, distance run by Jacob = 
Distance run by Jacob = 50 + 120 = 170 yards
Ali runs through the middle of the field diagonally on a straight line.
Therefore, distance covered by Ali = 
= 
= 
= 
= 130 yards
Now difference between the distance covered by Jacob and Ali
= 170 - 130
= 40 yards
Therefore, Jacob ran 40 yards more than Ali.
The answer is A. To understand that, you need to put it in order by the x's and the y's to get x^2-6x + y^2-16y = -48. Now complete the square on both the x and the y terms to get (x^2-6x+9) +(y^2-16y+64) = -48+9+64. Rewriting that in vertex form on the left and doing the math on the right gives you
(x-3)^2 + (y-8)^2 = 25, which shows you a center of (3,8) and a radius of 5.
Answer:
1.92 m³
hopefully this answer can help you to answer the next question.
Answer:
C. 12
Step-by-step explanation:
the greatest common factor between 84 and 96 is 12
Answer:
7.12
Step-by-step explanation:
The formula for the effective annual yield is given as:
i = ( 1 + r/m)^m - 1
Where
i = Effective Annual yield
r = interest rate = 7% = 0.07
m= compounding frequency = semi annually = 2
i = ( 1 + 0.07/2)² - 1
i = (1 + 0.035)² - 1
= 1.035² - 1
= 1.071225 - 1
= 0.071225
Converting to percentage
0.071225 × 100
= 7.1225%
Approximately to 2 decimal places = 7.12
Therefore, the annual effective yield = 7.12
