Answer:
20
Step-by-step explanation:
Given that:
Red flowers = 1/8
Purple = 1/4
(1/8 + 1/4) = (1 + 2) / 8 = 3/8
Fraction left :
1 - 3/8 =. 5/8
Pink flowers :
1/4 of fraction left ;
1/4 * 5/8 = 5/32
Number of pink flowers
Total number of flowers = 128
5/32 * 128
640 / 32
= 20
20 pink flowers
The range of a function is the set of possible values that can be obtained from the dependent variable. The range of the function is: 
Given that:


Let the number of months be t. So, the function C(t) is calculated as follows:



The range is calculated as follows:
The smallest possible value of t is 0 i.e. when no monthly subscription is done.
So, we have:

And the highest is
i.e. for a large value of t
So, we have:

Hence, the range of the function is:

Read more about range of functions at:
brainly.com/question/13824428
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
Answer: I think it is 8 meters because 83 cm in meters is 0.83 meters :)
Step-by-step explanation: