Answer: Vertical Angles Theorem
Step-by-step explanation: the diagram is like an X which two opposite sides are congruent. if that makes sense hope i helped ❤️.
Answer:
16%
Step-by-step explanation:
To solve this we are using the standard growth equation:
![y=a(1+b)^x](https://tex.z-dn.net/?f=y%3Da%281%2Bb%29%5Ex)
Were
is the final value after
years
is the initial value
is the growth factor (yearly rate of appreciation in our case) in decimal form
is the time in years
We know from our problem that gold coin appreciated in value from $200.00 to $475.00 in 6 years, so
,
, and
.
Let's replace the values in our equation and solve for
:
![y=a(1+b)^x](https://tex.z-dn.net/?f=y%3Da%281%2Bb%29%5Ex)
![475=200(1+b)^6](https://tex.z-dn.net/?f=475%3D200%281%2Bb%29%5E6)
![\frac{475}{200} =(1+b)^6](https://tex.z-dn.net/?f=%5Cfrac%7B475%7D%7B200%7D%20%3D%281%2Bb%29%5E6)
![2.375=(1+b)^6](https://tex.z-dn.net/?f=2.375%3D%281%2Bb%29%5E6)
![\sqrt[6]{2.375} =\sqrt[6]{(1+b)^6}](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7B2.375%7D%20%3D%5Csqrt%5B6%5D%7B%281%2Bb%29%5E6%7D)
![1+b=\sqrt[6]{2.375}](https://tex.z-dn.net/?f=1%2Bb%3D%5Csqrt%5B6%5D%7B2.375%7D)
![b=\sqrt[6]{2.375}-1](https://tex.z-dn.net/?f=b%3D%5Csqrt%5B6%5D%7B2.375%7D-1)
![b=0.155](https://tex.z-dn.net/?f=b%3D0.155)
which rounds to
![b=0.16](https://tex.z-dn.net/?f=b%3D0.16)
Since our appreciation rate is in decimal form, we need to multiply it by 100% to express it as percentage:
0.16*100% = 16%
We can conclude that the yearly appreciation rate of our gold coin is approximately 16%
For this case we can model the problem as a cylinder.
The volume of a cylinder is given by:
![V = Ab * h ](https://tex.z-dn.net/?f=V%20%3D%20Ab%20%2A%20h%0A)
Where,
Ab: base area
h: cylinder height
Substituting values in the equation we have:
![800 = Ab * 46 ](https://tex.z-dn.net/?f=800%20%3D%20Ab%20%2A%2046%0A)
From here, we can clear the area of the base
Answer:
An equation that can be used to find the area of the circular base is:
Answer: gymnastics 35
music 21
swimming 36
Step-by-step explanation:
gymnastics 35=20+9+6
music 21=8+7+6
swimming 36=20+9+7
Answer:
pet smart sell
Step-by-step explanation:
because it is cheaper than other sell