Answer:
c. 108.4
Step-by-step explanation:
cos theta = (u dot v)/ (||u|| ||v||)
where dot stands for dot product and || || is the magnitude
u = (1,5) v= (7,-4)
u dot v = (1*7 + 5*-4) = 7-20 = -13
||u|| = sqrt( 1^2 +5^2) = sqrt(1+25) = sqrt(26)
||v|| = sqrt(7^2 + (-4)^2) = sqrt(49+16) = sqrt(65)
cos theta = -13/ sqrt(26) sqrt(65)
cos theta = -13 /sqrt(1690)
theta = arccos (-13/sqrt(1690))
theta = 108.43
5:6
The fraction 85/102 goes to 5/6 so it is 5:6 or 5/6...
Answer:
Ah yes, one of my favorite topics.
Step 1: Which ever fraction comes first, you will solve it first. For this question, focus on doing
first. Afterwards, do 
Step 2: First one equals to 1.125. Next, find the LCD (lowest common dominator, which is 10). 
Step 3: 1.125+3/10
Answer:
48
Step-by-step explanation:
you need 4 one-fourth cups to make one cup. multiply 12 by 4 and you get 48
Hey there :)
Here we need to use Trigonometry!
The given
angle is
61°The
opposite to the angle is
22 So
x is the
adjacent
The trigonometric ratio that uses opposite and adjacent is tan
( I have uploaded a picture to help you )
tan α =

tan 61 =

adj =

adj ≈ 12.19 ≈ 12
x = 12