If x and 71 degrees are side by side, it can be a complementary if it is exactly 90 degrees, supplementary if it is 180 degrees....
A = lw
Plug in what we know:
25/54 = (5/9)w
Divide 5/9 to both sides or multiply by its reciprocal, 9/5:
25/54 * 9/5 = w
Multiply the numerators and denominators together:
225/270 = w
Simplify:
<span>w = 5/6</span>
Answer:
The correct answer is: 3x² (4x - 1) / (x - 4) (x - 3) ∧ restriction x ≠ 3, x ≠ 4, x ≠ 0 and x ≠ 1/4
Step-by-step explanation:
Given:
((16x² - 8x + 1) / (x² - 7x + 12)) : ((20x² - 5x) / 15x³) =
dividing with one fraction is the same as multiplying with its reciprocal value
((16x² - 8x + 1) / (x² - 7x + 12)) · (15x³ / (20x² - 5x))
First we need to factorize both numerators and denominators
16x² - 8x + 1 = (4x - 1)² This is square binomial
x² - 7x + 12 = x² - 4x - 3x + 12 = x (x - 4) - 3 (x - 4) = (x - 4) ( x - 3)
20x² - 5x = 5x (4x - 1)
(4x - 1)² / (x - 4) (x - 3) · 15x³ / 5x (4x - 1)
The existence of this rational algebraic expression is possible only if it is:
x - 4 ≠ 0 and x - 3 ≠ 0 and x ≠ 0 and 4x - 1 ≠ 0 =>
x ≠ 4 and x ≠ 3 and x ≠ 0 and x ≠ 1/4 This is restriction
Finally we have:
3 x² (4x - 1) / (x - 4) (x - 3)
God with you!!!
To find volume you just multiply the length, width, and height, so 15,000 cubic feet.
Answer:
26.6 m
Step-by-step explanation:
Given the figures are similar
linear ratio = a : b
area ratio = a² : b²
here
area ratio = 16 : 25, then
linear ratio = 4 : 5 ( square root of both area ratio parts )
let the perimeter of the larger figure be x, then by proportion
= 
( cross- multiply )
4x = 106.5 ( divide both sides by 4 )
x ≈ 26.6
Hence perimeter of larger figure is approximately 26.6 m
