Answer:
A≈16.65
Step-by-step explanation:
h Height 3
AB Base area 4
Answer: 0.25 T is bigger
Step-by-step explanation:
0.25 T = 500 lb
By some properties of logarithms, rewrite the equation as

so that
(<em>a</em> - 2<em>b</em>)² = <em>ab</em>
Expand the left side:
<em>a</em> ² - 4<em>ab</em> + 4<em>b</em> ² = <em>ab</em>
Rearrange terms to get a quadratic equation in <em>a</em>/<em>b</em> :
<em>a</em> ² - 5<em>ab</em> + 4<em>b</em> ² = 0
<em>b</em> must be greater than 0, otherwise log(<em>b</em>) doesn't exist, and the same goes for <em>a</em>. So we can divide by <em>b</em> ² to get
<em>a</em> ²/<em>b</em> ² - 5<em>a</em>/<em>b</em> + 4 = 0
Factorize and solve for <em>a</em>/<em>b</em> :
(<em>a</em>/<em>b</em> - 4) (<em>a</em>/<em>b</em> - 1) = 0
==> <em>a</em>/<em>b</em> = 4 or <em>a</em>/<em>b</em> = 1
However, if <em>a</em>/<em>b</em> = 1, then <em>a</em> = <em>b</em> makes <em>a</em> - 2<em>b</em> = -<em>b</em>. But we must have <em>b</em> > 0, so we omit the second solution and end up with
<em>a</em>/<em>b</em> = 4
Answer:
Option D, x = 1
Step-by-step explanation:
In order for that equation to equal to zero, you need the numerator (the top) to equal zero and the denominator (the bottom) to equal literally anything BUT ZERO.
To satisfy the first part we set the top binomial equal to zero.
x - 1 = 0
x = 0 + 1
x = 1
Plug in x = 1 to the bottom to see if it satisfies to second part; we're looking for everything but zero.
(x - 3)(x + 1)
(1 - 3)(1 + 1)
(- 2)(2) = - 4
Your answer is x = 1, option D.
Answer:
168
Step-by-step explanation:
the angles of a hexagon should add us to 720, subtract all teh given angles from the total and you find x.