Answer:
Q matches to a and P matches to b
Step-by-step explanation:
This is a volume question so we can use the volume of a cylinder to see which one corresponds to what. Volume of a cylinder is 
h. We know that the heights of the cylinders are the same since the diagram says so. We also know pi is the same since thats a constant. The only thing thats different is the radius (as you can see radius of P is bigger than Q). If the radius of P is bigger than Q and all the other things are the same (height is the same and pi is the same), then that automatically means that P has more volume than Q. More volume means more time to fill up. Since Q has less volume, it will take less time to fill up. So now we look at the graph. A shows that the height of water increases at a faster rate than that of B. This is because there is less volume in that container (less volume=less time to fill up). Therefore a matches to Q and therefore b matches to P
Answer:
It is given that in triangle XYZ, XY = 13, YZ=20, and XZ=25.Using the law of cosines, we have
CosC=\frac{a^2+b^2-c^2}{2ab}
cosZ=\frac{(YZ)^2+(XZ)^2-(XY)^2}{2(YZ)(XZ)}
CosZ=\frac{(20)^2+(25)^2-(13)^2}{2(20)(25)}
CosZ=\frac{400+625-169}{1000}
CosZ=\frac{856}{1000}
CosZ=0.856
Z=cos^{-1}(0.856)
Z=37.13^{\circ}
Step-by-step explanation:
Answer: the perimeter is 40.9 ft
Step-by-step explanation:
The given figure is a trapezium. It is made up of a rectangle and a right angle triangle.
The perimeter of the trapezium is the distance around the figure. This means that the inner dimensions are not included.
Since the opposite sides of the rectangle are equal, it means that the base of the trapezium would be
10 + 4 = 14 ft
Therefore, the perimeter of the trapezium would be
8 + 10 + 8.9 + 14 = 40.9 ft
Let me give the significations following
natural numbers :ACA counting numbers the numbers you naturally say when counting.
whole numbers: include all natural numbers zero
Integers: include all whole numbers and their opposites.
Rational: can be written ASA fraction or ratio of two integers also decimals that terminate or repeat
Irrational: can not be written a fraction, decimals, do not terminate or repeat.
