We are given with the rate of change of the base, db/dt equal to 1 ft/ sec and the rate of change of the height of the triangle, dh/dt equal to 2 ft/sec. b is 10 ft and h is 70 ft. Area of triangle is equal to A= 0.5 bh The rate of change of the area is equal to dA/dt = 0.5 b dh/dt + 0.5 h db/dt. Substituting, dA= 0.5*10*2 + 0.5*70 * 1 equal to 45 ft2 / sec.
Answer:
The 4th option.
Step-by-step explanation:
Rational numbers are numbers which can be expressed as a fraction. Irrational numbers are numbers which can't be expressed as a fraction. Square root 16 is a perfect square so it is a rational number.
The correct answers are 1. D, 2. A, 3. A, 4. A, 5. A
Answer:
11
Step-by-step explanation:
The average price of the 20 shirts is 600/20 = $30 each. So, we know that we can sell 20 shirts for $30 each to reach the goal.
For each $25 shirt we sell, we must also sell a $35 shirt to make the average price of the sale be $30 per shirt. That is any or all of the 10 pairs of $30 shirts can be replaced by a ($25, $35) pair. So, there are 10 additional ways to reach the goal.
The total number of possible combinations of shirt sales is 1 +10 = 11.
1 1/4x = 3/4
5/4x = 3/4
x = (3/4) / (5/4)
x = 3/4 * 4/5
x = 12/20 which reduces to 3/5
check..
1 1/4 * 3/5 =
5/4 * 3/5 =
15/20 reduces to 3/4
so u would multiply 1 1/4 by 3/5 to get 3/4
