Answer:
x = 3
Step-by-step explanation:
In a 30-60-90 triangle the side between 60 and 90 degree angle is a, the side between 30 and 90 degree angle is a√3, and the hypotenuse is 2*a.
Given that the side that is supposed to be a is currently √3, we know that the missing side x must be:
a√3 (We know that a, in this case, is √3, so substitute)
x = (√3) * (√3)
x = 3
I believe this is D. The transitive property
30 minutes / 3 miles = 10 minutes for 1 mile
7 miles * 10 minutes per mile = 70 minutes total to run 7 miles
the area of the surface of this design is 31 in long
Step-by-step explanation:
The quadratic equation is x² + (p - 5)x + 2q = 0.
By Vieta's Formula,
we have SOR = -b/a and POR = c/a.
=> (-3) + (6) = -(p - 5) and (-3)(6) = 2q.
=> 3 = 5 - p and -18 = 2q
Hence, p = 2 and q = -9.
Alternate Method:
We have (x + 3) and (x - 6) as factors of the quadratic equation x² + (p - 5)x + 2q = 0.
=> (x + 3)(x - 6) = x² - 3x - 18.
By Comparing Coefficients,
(p - 5) = -3 and 2q = 18.
Hence p = 2 and q = -9.
