Answer:
Step-by-step explanation:
If two variables are directly proportional, it means that an increase in one variable will cause a corresponding increase in the other variable.
If two variables are inversely proportional, it means that an increase in one variable will cause a corresponding decrease in the other variable.
The variable z is directly proportional to x, and inversely proportional to y. If we introduce a constant k, the equation would be
z = kx/y
When x is 14 and y is 10, z has the value 26.6. It means that
26.6 = 14k/10
Cross multiplying, it becomes
26.6 × 10 = 14k
266 = 14k
k = 266/14
k = 19
The equation becomes
z = 19x/y
When x = 24, and y = 15, the value of z would be
z = 19 × 24/15
z = 30.4
Tuchel of course unveils a lineup that probably no one expected, including no Christensen (injured?) and Ziyech getting another shot alongside newly minted striker Kai Havertz. The bench is looking a bit empty with all the injuries and suspensions...
Well you gotta give us the problem first.
First, find the area of the rectangle. The formula is already given, and the length and width is shown on the 'beautiful drawing'.
The area of the rectangle is 171cm².
Find the area of the triangle. We see that it fits perfectly inside the triangle with some space to spare. It has the same height, so we have our 'h' value. Because there are 4cm and 3cm left for the width, subtract the sum of these numbers from the width.
, so the base of the triangle is 5cm long (remember that the figure isn't drawn to scale. I almost missed this one).
Final step. Subtract the area of the triangle from the rectangle: .
The area of the shaded region is 148.5cm².
Hope this was helpful.