Answer: About 12.083
Explanation:
In order to solve this you would use Pythagorean theorem.
You are given the length of the two legs (5 and 11)
So by plugging in 5 and 11 into A Squared plus B Squared = C Squared, you get that C^2= 146.
By finding the square root of both sides you get square root of 146, which is approximately 12.803
Answer:
7:3, 14:6, 28:12
multiples.. hope that helps.
Answer:
B) 100
Step-by-step explanation:
All 3 interior angles of a triangle add up to 180 so:
x + 25 + 55 = 180
x + 80 = 180
x = 180 - 80
x = 100
Answer:
--- function
The monthly rate is 10%
Step-by-step explanation:
Given
Let
![x \to months](https://tex.z-dn.net/?f=x%20%5Cto%20months)
So, we have:
--- Monday
--- One month later
Required
The function
The function is represented as:
In
, we have:
![120 = a * b^0](https://tex.z-dn.net/?f=120%20%3D%20a%20%2A%20b%5E0)
![120 = a * 1](https://tex.z-dn.net/?f=120%20%3D%20a%20%2A%201)
![120 = a](https://tex.z-dn.net/?f=120%20%3D%20a)
![a=120](https://tex.z-dn.net/?f=a%3D120)
In
, we have:
![132 = a * b^1](https://tex.z-dn.net/?f=132%20%3D%20a%20%2A%20b%5E1)
![132 = a * b](https://tex.z-dn.net/?f=132%20%3D%20a%20%2A%20b)
Substitute: ![a=120](https://tex.z-dn.net/?f=a%3D120)
![132 = 120 * b](https://tex.z-dn.net/?f=132%20%3D%20120%20%2A%20b)
Solve for b
![b = \frac{132}{120}](https://tex.z-dn.net/?f=b%20%3D%20%5Cfrac%7B132%7D%7B120%7D)
![b = 1.1](https://tex.z-dn.net/?f=b%20%3D%201.1)
So, the function is:
![y=ab^x](https://tex.z-dn.net/?f=y%3Dab%5Ex)
![y=120 * 1.1^x](https://tex.z-dn.net/?f=y%3D120%20%2A%201.1%5Ex)
To calculate the monthly rate (r), we have:
![y =a(1 + r)^x](https://tex.z-dn.net/?f=y%20%3Da%281%20%2B%20r%29%5Ex)
Compare to: ![y =ab^x](https://tex.z-dn.net/?f=y%20%3Dab%5Ex)
![1 + r = b](https://tex.z-dn.net/?f=1%20%2B%20r%20%3D%20b)
Make r the subject
![r = b-1](https://tex.z-dn.net/?f=r%20%3D%20b-1)
Substitute ![b = 1.1](https://tex.z-dn.net/?f=b%20%3D%201.1)
![r = 1.1-1](https://tex.z-dn.net/?f=r%20%3D%201.1-1)
![r = 0.1](https://tex.z-dn.net/?f=r%20%3D%200.1)
Express as percentage
![r = 0.1*100\%](https://tex.z-dn.net/?f=r%20%3D%200.1%2A100%5C%25)
![r = 10\%](https://tex.z-dn.net/?f=r%20%3D%2010%5C%25)
the answers are B,D and F