Let the number of rectangles = R
Perimeter is 2(L) + 2(W)
The length remains the same when you add more triangles ( 6).
The width changes by multiplying the width by the number of rectangles.
Since the width of the rectangles are 1, multiply the number of rectangles R by 1 to get R.
Now replace W in the perimeter frmula with R:
Now the perimetr would be: P = 2L + 2R
<h3>Answer</h3>
c. a = 3√2, b = 6√2
<h3 /><h3>Explanation</h3>
#1.First, you find the opposite of the left triangle using sin formula
#2.After you get the opposite, find the b using sin formula and a using tan formula
<h3>Known</h3>
•Right triangle
Hypotenuse = 6
Adjacent = ?
Opposite = ?
• Left triangle
Hypotenuse = b
Adjacent = a
Opposite = ?
<h3>Question</h3>
a. adjacent of right triangle
b. hypothenuse of left triangle
<h3>Way to do</h3>
#1. Sin(∅)= opposite/hypotenuse
sin(45) = opposite/6
opposite = sin(45) × 6
opposite = 3√2
#2. a. tan(∅) = opposite/adjacent
tan(30) = 3√2 / a
a = 3√2 : tan(30)
a = 3√6
b. sin(∅) = opposite/hypotenuse
sin(30) = 3√2 / b
b = 3√2 : sin(30)
b = 6√2
#and so the a = 3√2 and b = 6√2
#you are welcome
<h3>
Note for moderator that see this</h3>
#Moderators please don't be mean, dont delete my answers just to get approval from your senior or just to get the biggest moderation daily rank.
Answer:
x=6
Step-by-step explanation:
Since this is a right triangle we can use the Pythagorean theorem
a^2 + b^2 = c^2
where a and b are the legs and c is the hypotenuse
x^2 + (x+2)^2 = (2x-2)^2
FOIL (x+2)^2 = x^2 +2x+2x+4 = x^2 +4x+4
FOIL (2x-2)^2 = 4x^2 -4x -4x+4 = 4x^2 -8x+4
Replacing these in to the equation
x^2 +x^2 +4x+4 = 4x^2 -8x+4
Combine like terms
2x^2 +4x +4 = 4x^2 -8x +4
Subtract 4 from each side
2x^2 +4x +4-4 = 4x^2 -8x +4-4
2x^2 +4x = 4x^2 -8x
Subtract 2x^2 from each side
2x^2 -2x^2+4x = 4x^2-2x^2 -8x
4x = 2x^2 -8x
Subtract 4x from each side
4x-4x = 2x^2 -8x-4x
0 = 2x^2 -12x
Factor out a 2x
0 = 2x(x-6)
Using the zero product property
2x =0 x-6 =0
x =0 x-6+6 = 0+6
x = 0 c=6
3.3,3.35,3.345
I hope I helped
Answer: They're all correct, just did it.
Step-by-step explanation:
