Answer:
The answer is below
Step-by-step explanation:
Jeremiah is painting a fence. In total he needs to paint 36 square meters. If Jeremiah can paint four square meters in one hour how many square meters does he have left
Solution:
Given that the total area if the fence to be painted is 36 square meters and the time taken to paint four square meters is one hour. Therefore, we can calculate the time required to paint the fence using:
Time required to paint fence = area of the fence / area painted in one hour
Time required to paint fence = 36 m² / (4 m² per hour)
Time required to paint fence = 9 hours
7.5 min per walk around the block
Answer:
<h3>#1</h3>
The normal overlaps with the diameter, so it passes through the center.
<u>Let's find the center of the circle:</u>
- x² + y² + 2gx + 2fy + c = 0
- (x + g)² + (y + f)² = c + g² + f²
<u>The center is:</u>
<u>Since the line passes through (-g, -f) the equation of the line becomes:</u>
- p(-g) + p(-f) + r = 0
- r = p(g + f)
This is the required condition
<h3>#2</h3>
Rewrite equations and find centers and radius of both circles.
<u>Circle 1</u>
- x² + y² + 2ax + c² = 0
- (x + a)² + y² = a² - c²
- The center is (-a, 0) and radius is √(a² - c²)
<u>Circle 2</u>
- x² + y² + 2by + c² = 0
- x² + (y + b)² = b² - c²
- The center is (0, -b) and radius is √(b² - c²)
<u>The distance between two centers is same as sum of the radius of them:</u>
<u>Sum of radiuses:</u>
<u>Since they are same we have:</u>
- √(a² + b²) = √(a² - c²) + √(b² - c²)
<u>Square both sides:</u>
- a² + b² = a² - c² + b² - c² + 2√(a² - c²)(b² - c²)
- 2c² = 2√(a² - c²)(b² - c²)
<u>Square both sides:</u>
- c⁴ = (a² - c²)(b² - c²)
- c⁴ = a²b² - a²c² - b²c² + c⁴
- a²c² + b²c² = a²b²
<u>Divide both sides by a²b²c²:</u>
Proved
Answer:
A
Step-by-step explanation:
What we are trying to get from the question is that the full time employee works 8 hours per day to get the total 40hours since it is for 5 days.
Now, we now have 7 days to work for with 8hours worked in a single day. The total number of hours worked here will thus be 7 * 8 = 56 hours of work