Answer:
8x⩽112
Step-by-step explanation:
Width of the rectangle (in centimeters) = x
Therefore, the lenght of the rectable is 3x (in centimeters).
The perimeter of the rectangle (in centimeters) is : 2x+2*3x=2x+6x=8x.
The perimeter of the rectangle is at most 112cm, therefore, 8x⩽112.
Pythagorean theorem you times 40 by 2 then 9 by 2 then square root
Area of the trapezoid:

Area of the rectangle:
4.2 x 3.1 = 13.02 cm^2
Area of each quarter circle:

We have two quarter circles:
7.54 + 7.54 = 15.08
41.65 + 13.02 + 15.08 = 69.75 cm^2
Answer:

Step-by-step explanation:
Given:


Need:

First, let's look at the identities:
sum: 
difference: 
The question asks to find sin(A - B); therefore, we need to use the difference identity.
Based on the given information (value and quadrant), we can draw reference triangles to find the simplified values of A and B.
sin(A) = 
cos(A) = 
sin(B) = 
cos(B) = 
Plug these values into the difference identity formula.


Multiply.

Add.

This is your answer.
Hope this helps!