57.4/10=5.74
the answer is 5.74
Multiply the first equation with (-1)
you should get this
-6r + 3t = -6
6r + 8t = -16
start to eliminate
11t = -22
divide by 11
t = -2
substitute
6r - 3(-2) = 6
6r + 6 = 6
6r = 6 - 6
6r = 0
r=0
Answer:
The distance added to each dimension is 2 yards.
Step-by-step explanation:
The initial dimensions of the rectangular fence is 8 yards by 4 yards.
The initial area of the rectangular fence = area of a rectangle
area of a rectangle = length x width
So that,
The initial area of the fence = 8 x 4
= 32
The initial area of the fence is 32 square yards.
But, with the new dimensions, area = 60 square yards.
(4 + x) x (8 + x) = 60
+ 12x + 28 = 60
+ 12x - 32 = 0
(x + 14) = 0 or (x - 2) = 0
x = -14 or x =2
Thus, x = 2
The distance added to each dimension is 2 yards.
For this use the law of sines:


cross-multiply:
16×sin (J) = 11×0.97
sin(J) = 10.72/16
sin(J) = 0.67
hit the "arcsin" button on your calculator:

therefore answer B. 42 is the correct answer!!
Actually Welcome to the Concept of the Angles,.
Since,the AE is a angle bisector, hence, BAE = EAC simply.
hence we equate them..
===> x+ 30 = 3x - 10
==> 3x - x = 30 + 10
==> 2x = 40
==> x = 20°
hence the major angle EAC = 3(20)-10 = 60-10 = 50°
hence, angle EAC = 50°