The absolute value of 9.8 is 9.8.
Given:
f(x) = sin(x)
g(x) = cos(x).
Note that because sin²x + cos²x = 1, the value for f²+g² should be equal to 1.
Create the table shown below.
x f² g² f² + g²
-------- ---------- ----------- ------------
-π 0 1 1
-0.8π 0.3455 0.6545 1
-0.6π 0.9045 0.0955 1
-0.4π 0.9045 0.0955 1
-0.2π 0.3455 0.6545 1
0 0 1 1
0.2π 0.3455 0.6545 1
0.4π 0.9045 0.0955 1
0.6π 0.9045 0.0955 1
0.8π 0.3455 0.6545 1
π 0 1 1
A sketch is shown in the figure below.
Draw a diagram
the diagram is a right triangle
use the tangent function
tan=opposite/adjacent
call the angle "θ"
tanθ=15/57
tanθ=0.2631579
use the arctan function on your calculator
tan-1θ=0.2631579
θ=14.74356312º or 14º 44' 36.827"
The first choice is the correct answer
12 in by 22 in by 4 in
the explanation is as shown in the figure
The dimension will be x , 20 - 2x , 30 -2x
the volume= v = x(20-2x)(30-2x) = 4x³ - 100x² + 600x
differentiating with respect to x and equating to zero
dv/dx = 12x² - 200x + 600 = 0
solve for x using calculator
x = 12.7 (unacceptable) or x = 3.92 ≈ 4
∴ The dimension will be 4 , 12 , 22
Answer:

Step-by-step explanation:
We have that, the ratio of the corresponding linear measures of two similar cans of vegetables is 2 to 3.
We want to find the area of the larger can, if the smaller can has a surface area of 180 square centimeters.
We know the scale factor is

To find the surface area of the larger can, we multiply the square of the scale factor by 180.
This implies that, the surface area of the larger can is
