Answer:
51
Step-by-step explanation:
1-2/7 = 3/7
119 x 3/7 = 51
Answer:
x^2+(y-1)^2=25
Step-by-step explanation:
eqn of circle : (x-h)^2+(y-k)^2=r^2
center of circle = (h,k)
hence, the center of the current circle is (2,3)
moving 2 units to the left would make the center (0,1)
the radius would remain the same (5) , hence the new eqn would be
(x-0)^2+(y-1)^2=25
x^2+(y-1)^2=25
The easiest way to solve a problem like this is to cross multiply and solve
The problem gives us a ratio
2 pounds of granola = 3 pounds of raisins
which makes a ratio of

The other ratio is
? pounds of granola = 24 pounds of raisins
which makes a ratio of

To solve, set them equal to each other ...

Now we must cross multiply...
To cross multiply, we multiply
2 and 24 and we multiply
3 and x Now we have an equation to solve!
3x = 48 To solve and get your final answer, divide...
x =
x = 16
You'll need 16 pounds of granola
Answer:
Step-by-step explanation:
Apply the Pythagorean Theorrem. Find the sum of the squares of the two shortest sides and determine whether this sum equals the square of the longest side:
#19: 5^2 + 12^2 = ? = 13^2
25 + 144 = ? = 169 This is true, so you do have a right triange in #19.
#21: 2^2 + 4^2 = ? = 7^2, or 4 + 16 = ? = 49 This is false. Not a right
triangle.
Apply this same approach (Pythagorean Theorem) to the remaining problems.