Answer:
There are two ways to do this problem algebraically or trigonometrically.
Algebraically/geometrically
The ratios of the sides of a 30/60/90 tri. are x, x√3, 2x (short leg, long leg, hyp). Therefore, if the long leg is 6 'units'. then 6 = x√3. x = 6√3.
The hyp is 2x then the hypotenuse is 2(6√3) = 12√3, rationalizing is 12√3/3 = 4√3
Using Trig.
We can use sinx = y/r = opp/hyp. The long leg of 6 is opposite 60 degrees (pi/3).
Therefore, sin(pi/3) = 6/r =
r = 6/sin(pi/3) = 6/(√3/2) = 12/√3, when you rationalize you get 12√3/3 = 4√3
7cm each. reason: the rod of 21cm lenght will be cut into 3pieces of 7cm each, while that of 14cm will be cut into 2 pieces of 7cm each. Therefore, there 5 pieces of rods of 7cm each. Thanks.
The set of integers consists (0), the positive natural numbers (1,2,3,) also called whole numbers, and their additive inverses the negative integers(-1, -2, -3,).
Let's assume that the parabola has the following intersections with the x axis:
x1 = p
x2 = q
To find the equation of the parabola, we write the following product of binomials:
(x-p) (x-q) = 0
Where,
p, q: intersections with the x axis.
When developing the product of binomials, we obtain the equation of the parabola.
Answer:
(x-p) (x-q) = 0
Answer:
6.5 yards
Step-by-step explanation:
39 times 6 is 234. if you convert 234 inches to yards you get 6.5
