Answer:
2.9375 inches or 2 15/16"
Step-by-step explanation:
23 1/2 feet equals 282 inches
(1/8 ÷ 12) = (x ÷ 282)
cross-multiply:
35.25 = 12x
x = 2.9375 or 2 15/16 inches
Answer:

Step-by-step explanation:
<u>Equation of a Polynomial</u>
Given the roots x1, x2, and x3 of a cubic polynomial, the equation can be written as:

Where a is the leading coefficient.
We know the three roots of the polynomial -6, -3, and 1, thus:

Since the y-intercept of the polynomial is y=90 when x=0:
90=a(0+6)(0+3)(0-1)
90=a(6)(3)(-1)=-18a
Thus
a = 90/(-18) = -5
The polynomial is:

We must write it in standard form, so we have to multiply all of the factors as follows:





Answer:
b = 55 degrees
Step-by-step explanation:
The angles 30, a, b and 45 must sum up to 180 degrees
Subtracting (30 + 45) from both sides leaves us with a + b = 105 degrees.
But b = a + 5. Substituting a + 5 in the equation above yields
a + a + 5 = 105 degrees, so that
2a = 100 degrees, and a = 50 degrees. Then b = a + 5, or b = 55 degrees.
Answer:
x = 12
Step-by-step explanation:
__9x__ = __108___
9 9
x = 12
A ratio equivalent to 3:4 is 6:8