Let the width =x
length = 6x
p=14x
28=14x
x=2
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:
Reliability
Step-by-step explanation:
Here, we want to select the option that best completes the given question
The correct answer is the reliability
When we speak of how reliable a type of measurement is, we are simply referring to how free the particular measurement is from random error
Measurements that are free from random error are said to be reliable
<span>Let x=one number and x+12= the other number. Together the numbers=54. Set up the equation: x+x+12=54; Combine the variables; 2x+12=54; Subtract 12 from both sides of the equation; 2x=42; Divide both sides of the equation by 2; x=21 is one number and 21+12=33 is the other number. Check: 2(21) +12=54; 42+12=54; 54=54.</span>
V = (3x + 2y)³ = (3x + 2y)(3x + 2y)(3x + 2y)
V = (9x² + 12xy + 4y²)(3x + 2y)
V = 27x³ + 36x²y + 12y²x +18x²y + 24xy² + 8y³
V = 27x³ + 54x²y + 36y²x + 8y³
