Answer:
24 is the LCM of 4,6,8. I think thats what your looking for.
Hope this helps!
Step-by-step explanation:
Length: 2w + 59
width: w
diagonal: (2w + 59) + 2 = 2w + 61
Length² + width² = diagonal²
(2w + 59)² + (w)² = (2w + 61)²
(4w² + 118w + 3481) + w² = 4w² + 122w + 3721
5w² + 118w + 3481 = 4w² + 122w + 3721
w² + 118w + 3481 = 122w + 3721
w² - 4w + 3481 = 3721
w² - 4w - 240 = 0
a = 1, b = -4, c = -240
w =
=
=
=
=
=
since width cannot be negative, disregard 1 - 2√61
w = 1 + 2√61 ≈ 16.62
Length: 2w + 59 = 2(1 + 2√61) + 59 = 2 + 4√61 + 59 = 61 + 4√61 ≈ 92.24
Answer: width = 16.62 in, length = 92.24 in
Answer:
50 ft²
Step-by-step explanation:
If W is the width and L is the length, then:
L = W + 5
2L + 2W = 30
Solve the system of equations with substitution or elimination. Using substitution:
2(W + 5) + 2W = 30
2W + 10 + 2W = 30
4W = 20
W = 5
L = 10
The area of the rectangle is:
A = LW
A = 50 ft²
The acute angle inside the triangle is 57 degrees. The one labeled “1” is 123 degrees.