Answer:20
take 56 divide by 2 and add 6 to the out-com
Firstly, we will draw figure
now, we will draw a altitude from B to DC that divides trapezium into rectangle and right triangle
because of opposite sides of rectangle ABMD are congruent
so,
DM=AB=9
CM=CD-DM
CM=18-9
CM=9
now, we can find BM by using Pythagoras theorem
![BM=\sqrt{BC^2-CM^2}](https://tex.z-dn.net/?f=%20BM%3D%5Csqrt%7BBC%5E2-CM%5E2%7D%20%20)
now, we can plug values
we get
![BM=\sqrt{15^2-9^2}](https://tex.z-dn.net/?f=%20BM%3D%5Csqrt%7B15%5E2-9%5E2%7D%20%20)
![BM=12](https://tex.z-dn.net/?f=%20BM%3D12%20%20)
now, we can find area of trapezium
![A=\frac{1}{2} (AB+CD)*(BM)](https://tex.z-dn.net/?f=%20A%3D%5Cfrac%7B1%7D%7B2%7D%20%28AB%2BCD%29%2A%28BM%29%20)
now, we can plug values
and we get
![A=\frac{1}{2} (9+18)*(12)](https://tex.z-dn.net/?f=%20A%3D%5Cfrac%7B1%7D%7B2%7D%20%289%2B18%29%2A%2812%29%20)
![A=162cm^2](https://tex.z-dn.net/?f=%20A%3D162cm%5E2%20)
so, area of of the trapezoid is
..........Answer
Answer:
Option C is correct.
Step-by-step explanation:
An exponential function is of the form:
....[1] where a is the initial value, x is any real number and b is the growth factor
Also, the b value (growth factor) has been replaced either by (1 + r) or by (1 - r).
Then, the growth "rate" (r) is determined as b = 1 + r.
and the decay "rate" (r) is determined as b = 1 - r
- If b> 1, then it is exponential growth function.
- if 0<b< 1. then it is exponential decay function.
Also, b = 1+ 4
Given the equation: ![y = 50(1.15)^x](https://tex.z-dn.net/?f=y%20%3D%2050%281.15%29%5Ex)
On comparing given equation with [1] we get;
a = 50 and b = 1.15
Since, b = 1.15 > 1
Therefore, the given equation represents the exponential growth.
(A)
Yes, this
equation represents the exponential growth.
(B)
Initial value (a) = 50
(C)
Here growth factor, b = 1.15
and
1+ r = 1.15.
⇒![r = 0.15\%](https://tex.z-dn.net/?f=r%20%3D%200.15%5C%25)
Answer:
do 2999 divided by 5000
Step-by-step explanation: