Using the given formula T = LS
And given the time is 3 minutes (3 x 60 = 180 seconds)and the speed is 4-1/2 inches per second:
180 = L x 4-1/2
Solve for L by dividing both sides by 4-1/2:
L = 180 / 4-1/2
L = 40
The length should be 40 inches.
Answer:
Based on the converse of the Pythagorean Theorem, the triangle is not a right triangle, because 
Step-by-step explanation:
The complete question in the attached figure
we know that
If the length sides of a triangle, satisfy the Pythagorean Theorem, then is a right triangle
where
c is the hypotenuse (the greater side)
a and b are the legs
In this problem
The length sides squared of the triangle are equal to the areas of the squares
so
substitute
----> is not true
so
The length sides not satisfy the Pythagorean Theorem
therefore
Based on the converse of the Pythagorean Theorem, the triangle is not a right triangle, because
Answer:
4.625 gallons
Step-by-step explanation:
1. 11 pints plus 13 quarts is 18.5 quarts
2. 18.5 quarts is equal to 4.625 gallons
12 problems = 30 minutes
24 problems = 60 minutes
36 problems= 90 minutes
48 problems = 120 minutes
60 problems = 150 minutes
Mary can respond 60 problems in 2 hours and 30 minutes/ 2 hours and half/ 150 minutes.
Hope this helps xx
The parabola defined by
y = a(x - h)² + k
has its vertex at (h,k).
After a shift by h units right, followed by a shift of k units vertically, the parabola is defined by
y = a(x - 2h)² + 2k
which has its vertex at (2h, 2k).
Answer: The vertex gets shifted by h units horizontally and k units vertically.
