The last two would be your answer :)
-3(3x-5y-9) that’s the factored expression
we know that
Applying the law of cosines:
c² = a² + b² - 2abcos(C)
where:
a,b and c are sides of the triangle and C is the angle opposite side c
let
a=170 mi
b=200 mi
c=160 mi
that is
160² = 170² + 200² - 2(170)(200)cos(C)
solve for C
25,600 = 28,900 + 40,000 - 68,000cos(C)
25,600 - 28,900 - 40,000 = -68,000cos(C)
-43,300=-68,000cos (C)
cos (C)=0.6367
C=arc cos(0.6367)--------> C=50.45°
hence,
he should turn in the direction of island b by
180 - 50.45 = 129.55 degrees
the answer is
129.55 degrees
Answer:
EF = 8.8 cm
Step-by-step explanation:
In the given right angled ΔDEF, DE is the hypotenuse while EF and DF are adjacent sides. So that applying the Pythagoras theorem, we have;
= 
+ 
= 
+ 
= + 
262.44 = + 184.96
= 262.44 - 184.96
= 77.48
EF = 
= 8.8023
EF = 8.8 cm
The length of side EF is 8.8 cm.
Answer:
a = l²
v = s³
Step-by-step explanation:
The area of a rectangle is the product of its length and width. When that rectangle is a square, the length and width are the same. Here, they are given as "l". Then the area of the square is ...
a = l·l = l²
__
The volume of a cuboid is the product of its height and the area of its base. A cube of edge length s has a square base of side length s and a height of s. Then its volume will be ...
v = s·(s²) = s³
The two equations you want are ...
• a = l²
• v = s³
