Answer: 6.86 ft per second
Step-by-step explanation:
Both the top and the bottom of the ladder will be moving at the same time.
Given that the base of the ladder is pulled away from the wall at a rate of 2 feet per second when its base is 7 feet from the wall. Then the time will be
Speed = distance/time
2 = 7/t
t = 7/2 = 3.5 seconds
Using pythagorean theorem to get the length L of the wall
L^2 = 25^2 - 7^2
L = 24
The ladder will move down the length at the same time.
Rate = 24/3.5
Rate = 6.86 ft/s
Answer:
pages
Step-by-step explanation:
Method 1: Working with minutes
Let us assume that, Sandra's printer can print x pages in 1 minute.
Then we can write the equation:
We can rewrite the ratios as a fraction.
This simplifies to
Or
Method 2: Working with seconds
If 5 pages corresponds to 40 seconds, then we can write: 
Let y corresponds to 60 seconds (1 minutes).
Then:
We rewrite as fraction:
Multiply both sides by:
Answer: u = i- 100,000
Step-by-step explanation:
Hi, to answer this question we have to write an equation with the information given:
Population of the United States = u
Population of India = i
Since the population of the United States, u, is about one hundred thousand less than the population of India, i, we have to subtract 100,000 (one hundred thousand) to the population of India (i). That expression must be equal to the population of United States (u).
Mathematically speaking:
u = i- 100,000
Feel free to ask for more if needed or if you did not understand something.
The answer would be 8 + 3x
Since AB = CD the trapezoid is isosceles, which means that ∡A = ∡D
Therefore also ∡2 = ∡3 (they are half of the congruent angles)
For the properties of parallel lines (BD and AD) crossed by a transversal (BD) we have ∡3 = ∡CBD.
Now consider triangles AOD and BCD:
∡OAD (2) = ∡ADO (3) = ∡CBD (3) = ∡CDB (4)
T<span>he sum of the angles of a triangle must be 180°, t</span>herefore:
∡AOD = 180 - ∡2 - ∡3
∡BCD = 180 - ∡3 - ∡4
∡AOD = ∡BCD because their measure is the difference of congruent angles.
