That person is really smart good job
Answer:
y = 25 degrees
Step-by-step explanation:
We start with 115° and x -
115° + x = 180°
x = 180° - 115°
x = 65°
The sum of all of the angles of a triangle will <em>always</em> be 180 degrees -
x + y + 90° = 180°
We substitute x with 65° -
65° + y + 90° = 180°
y = 180° - 65° - 90°
y = 90° - 65°
y = 25°
Answer:
1. D
2. A
Step-by-step explanation:
Q1. Kerry is simplifying ![5\cdot 10^{-3}](https://tex.z-dn.net/?f=5%5Ccdot%2010%5E%7B-3%7D)
By the definition of negative powers,
![a^{-n}=\dfrac{1}{a^n}](https://tex.z-dn.net/?f=a%5E%7B-n%7D%3D%5Cdfrac%7B1%7D%7Ba%5En%7D)
Hence,
![10^{-3}=\dfrac{1}{10^3}](https://tex.z-dn.net/?f=10%5E%7B-3%7D%3D%5Cdfrac%7B1%7D%7B10%5E3%7D)
So, the first step in simplifying the expression is
![5\cdot 10^{-3}=5\cdot \dfrac{1}{10^3}](https://tex.z-dn.net/?f=5%5Ccdot%2010%5E%7B-3%7D%3D5%5Ccdot%20%5Cdfrac%7B1%7D%7B10%5E3%7D)
Q2. Given the expression
![\dfrac{8}{10^{-2}}](https://tex.z-dn.net/?f=%5Cdfrac%7B8%7D%7B10%5E%7B-2%7D%7D)
First, use the definition of negative powers:
![10^{-2}=\dfrac{1}{10^2}](https://tex.z-dn.net/?f=10%5E%7B-2%7D%3D%5Cdfrac%7B1%7D%7B10%5E2%7D)
Thus,
![\dfrac{8}{10^-2}=\dfrac{8}{\frac{1}{10^2}}=8\cdot 10^2=8\cdot 100=800](https://tex.z-dn.net/?f=%5Cdfrac%7B8%7D%7B10%5E-2%7D%3D%5Cdfrac%7B8%7D%7B%5Cfrac%7B1%7D%7B10%5E2%7D%7D%3D8%5Ccdot%2010%5E2%3D8%5Ccdot%20100%3D800)
Answer:
1563.2
Step-by-step explanation:
If you just multiply 0.3 by 10 you will get 3
Now all you need to do is write 3 or have a number which has unit place value of 3