Answer:
Step-by-step explanation:
1). By applying cosine rule in the given triangle,
cos(x°) = 
cos(x°) = 
x = 
x = 41.41°
2). By applying cosine rule in the given triangle,
cos(x°) = 
cos(x°) = 
x = 
x = 36.87°
3). By applying cosine rule in the given triangle,
cos(x°) = 
cos(x°) = 
x = 
x = 53.13°
Answer:
Area of the rectangle is increasing with the rate of 84 cm/s.
Step-by-step explanation:
Let l represents the length, w represents width, t represents time ( in seconds ) and A represents the area of the triangle,
Given,


Also, l = 12 cm and w = 4 cm,
We know that,
A = l × w,
Differentiating with respect to t,


By substituting the values,



Hence, the area of the rectangle is increasing with the rate of 84 cm/s.
Answer:
-¼x + y = -2
Step-by-step explanation:
First, convert to Slope-Intercept Form by moving "1" to the other side of the equivalence symbol to get <em>y</em><em> </em><em>=</em><em> </em><em>¼x</em><em> </em><em>-</em><em> </em>2, then finally convert to Standard Form by moving "-¼x" to the other side of the equivalence symbol to end up with <em>-¼x + y = -</em>2. Do you understand?
Answer:
D. –5.2 + (–6.4) = –11.6
Step-by-step explanation:
First, you can eliminate A and C because 5.2 is positive. Since the red arrow is pointing left, it indicates that the number (-5.2) is negative.
Then, you look at the second arrow, the green one. It is pointing left, so it would be -6.4.
I hope this helps :)