Your answer is:
15 litters increased by 60% is 24 litters
Answer:
Step-by-step explanation:
We are given that:
Where A and B are positive acute angles.
And we want to find cos(A + B).
Recall that cosine is the ratio of the adjacent side to the hypotenuse. Using this information, find the opposite side with respect to Angle A:
Tangent is the ratio of the opposite side to the adjacent side. Find the hypotenuse with respect to Angle B:
In summary:
With respect to Angle A, the adjacent side is 20, opposite is 21, and the hypotenuse is 29.
With respect to Angle B, the adjacent side is 60, the opposite is 11, and the hypotenuse is 61.
We can rewrite our expression as:
Using the above information, substitute in the appropriate values. Note that since A and B are positive acute angles, all trigonometric values will be positive. Hence:
Simplify:
The answer you are looking for is B.) 43.
Answer: 16⅔ yds by 25 yds
Step-by-step explanation:
Let x be the length of 3 fence sections
Let y be the length of 2 fence sections
A = xy
3x + 2y = 100
y = 50 - 1.5x
A = x(50 - 1.5x) = 50x - 1.5x²
dA/dx = 50 - 3x
0 = 50 - 3x
3x = 50
x = 50/3 = 16⅔ yds
y = 50 - 1.5(16⅔) = 25 yds
Answer:
Step-by-step explanation:
First write a point-slope equation y−y1=m(x−x1) , where (x1,y1) is the given point, (4,2) , and m is the slope, −3 . For graphing, you can convert to the slope-intercept form, y=mx+b , by solving for y , where m is the slope and b is the y-intercept.