We have the following system:
Here, a simple solution to find the answer is to graph the two lines and see how many times they intersect.
I've attached a graph, with in red and the other equation in blue.
See that the lines only intersect once, at . This means the system only has one solution.
Answer:
The answer to your question is 13.2 ft
Step-by-step explanation:
Data
length of the ladder = hypotenuse = 16 ft
adjacent side = 9 ft
opposite side = ?
Process
1.- To solve this problem use the Pythagorean theorem
c² = a² + b²
Solve for b²
b² = c² - a²
2.- Substitution
b² = 16² - 9²
3.- Simplification
b² = 256 - 81
b² = 175
b = 13.2 ft
4.- Conclusion
The ladder is 13.2 ft resting against the building.
Answer:
58 girls, 87 boys
Step-by-step explanation:
145/5 = 29
29*2 = 58 girls
145-58 = 87 boys
I'm assuming the blueprint shows 1 inch is equal to 10 ft. This means that 1 inch on the blueprint corresponds to 10 feet in real life.
We have the ratio
1 inch: 10 feet
If we multiply both sides by 0.5 then,
0.5*(1 inch) : 0.5*(10 ft)
0.5 inch : 5 feet
So 0.5 inches (aka half an inch) on the blueprint corresponds to 5 feet in real life.
Answer: A) 5 feet