Answer:
width = 6
length = 4
Step-by-step explanation:
perimeter = 2L + 2W
L = W - 2
plug in perimeter:
20 = 2L + 2W
you know the length is 2 less than the width
plug in (w - 2) for L:
20 = 2(w - 2) + 2w
solve for w:
20 = 2w - 4 + 2w
20 = 4w - 4
4w = 24
w = 6
now plug in 6 for w in either equation, whichever is easier to solve:
L = 6 - 2
L = 4
width = 6
length = 4
You have the following function:

Derivate implictly the previous expression, as follow:

Where you have used that:

Then, the implicit derivative of the given expression is:

Next, solve for y' as follow:

Answer: 130 degrees
Step-by-step explanation:
105+80+45+x=360
230+x=360
-230 both sides
X=130 degrees
Answer:
B
Step-by-step explanation:
Since the triangle is right use the tangent ratio to find x
tan64° =
=
Multiply both sides by 11
x = 11 × tan64° = 22.55 → B
Answer:
A. 6 m by 6 m
Step-by-step explanation:
You can try the different choices to see which has the largest area. Of course, the area is the product of the dimensions:
6 m × 6 m = 36 m² . . . . largest area
10 m × 2 m = 20 m²
8 m × 4 m = 32 m²
__
The largest area is that of a square, 6 m by 6 m. (choice A)