Answer:
m∠S = 54.1°
Step-by-step explanation:
Use the law of cosines

37.21 = 10.24 + 54.76 - 47.36 cos S
-27.79 = -47.36 cos S
.586782 = cos S
arccos .586782 = S
m∠S = 54.1°
Answer:


Step-by-step explanation:
Recall that an expression that can be factored as (U+V)(U-V) using distributive property for multiplication of binomials, should render:
(the factorization given above is that of a difference of squares. Then, the idea is to write the original expression :

as a difference of perfect squares. Let's examine each term and its numerical and variable form to find if they can be written as perfect squares:
a) the term
therefore, if we assign the letter U to
, the first term becomes:

b) the term
therefore, if we assign the letter V to
, this second term becomes:

With the above identification, our expression can now be factored as a difference of squares:

Answer:
Interior angle of quadrilateral is 360
Sum of the two known angles 222
The sum of the other two is 360-222=138
Ratio 5:18
A=5/23*138=30
B=18/23*138=108
Step-by-step explanation:
520 x 0.2 = 104
520 + 104 = 625
Curtley's annual heating cost before he got his loft insulated was $624.00