Answer:
20 degrees
Step-by-step explanation:
a triangle's angle sum is 180 degrees, so you would subtract 180-60=120 because angle q is 60 degrees less than 180. now add 40 to 120 to equal 160 then subtract 160 from 180 to equal 20 degrees
Answer:
Step-by-step explanation:
0.625%
(1/2)n - 4 2/5 because 1/2 n is decreased by 4 2/5.
Answer:
Ramona's answer is correct, Fiona's contains a mistake.
Step-by-step explanation:
We begin with the equation
. Both try to use the exponent law of logarithms, but Fiona makes a mistake in where she puts the exponent. In case you've forgotten, this law says that, given a number a and an exponent n:
![\log{(a^n)}=n\log{(a)}](https://tex.z-dn.net/?f=%5Clog%7B%28a%5En%29%7D%3Dn%5Clog%7B%28a%29%7D)
Fiona's mistake was in putting the exponent above the whole logarithm, instead of inside the argument (the number inside the parentheses). Fiona's step reads
![3x=2\log{(1000)}\\3x=(\log{(1000)})^2](https://tex.z-dn.net/?f=3x%3D2%5Clog%7B%281000%29%7D%5C%5C3x%3D%28%5Clog%7B%281000%29%7D%29%5E2)
When it should read (as Ramona's does):
![3x=2\log{(1000)}\\3x=\log{(1000^2)}](https://tex.z-dn.net/?f=3x%3D2%5Clog%7B%281000%29%7D%5C%5C3x%3D%5Clog%7B%281000%5E2%29%7D)
Answer:
55.3/7= 7.9
Step-by-step explanation: