A rectangle is divided into exactly 20 congruent squares. Then these squares are lined up in a single row extending 36 inches (3
1 answer:
You might be interested in
9514 1404 393
Answer:
x ≈ {-2.80176, -0.339837}
Step-by-step explanation:
Write in terms of sine and cosine:
sec(x) -5tan(x) -3cos(x) = 0 . . . . . . given, subtract 3cos(x)
1/cos(x) -5sin(x)/cos(x) -3cos(x) = 0
Multiply by cos(x). (Note, cos(x) ≠ 0.)
1 -5sin(x) -3cos(x)² = 0
Use the trig identity to write in terms of sin(x).
1 -5sin(x) -3(1 -sin²(x)) = 0
3sin(x)² -5sin(x) -2 = 0 . . . . . . . . quadratic in sin(x)
(sin(x) -2)(3sin(x) +1) = 0 . . . . . . factor the quadratic
Values of sin(x) that make this true are ...
sin(x) = 2 . . . . . true only for complex values of x
sin(x) = -1/3
Then the possible values of x are ...
x = arcsin(-1/3), -π -arcsin(-1/3)
x ≈ {-2.80176, -0.339837} . . . . . rounded to 6 sf
Answer:
Part A) The system of equations is equal to
Part B)
The length is
The width is
Step-by-step explanation:
Part A)
we know that
The perimeter of the triangle is equal to the sum of the length of its three sides
In this problem
-----> equation A
The perimeter of rectangle is equal to
In this problem
------> equation B
Part B)
Using a graphing tool
Solve the system of equations
We know that
The intersection point both graphs is the solution of the system of equations
The intersection point is
see the attached figure
step 3
Find the length and width of the rectangle
The length is 3x
The width is 7y
