Answer:
3n + 2.
Step-by-step explanation:
Just combine like terms.
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
A 9-kg bag of mangoes for $12
Answer:
16.73 to nearest hundredth.
Step-by-step explanation:
The geometric mean of x and y is √xy.
So out geometric mean is √(14*20)
= √280
= 16.7332
The length of VX equals to 80
Below I show my work of how I found the missing length.
To find the missing length, you pick the starting location. Then go in any direction and then do the same to the other side. Then write a ratio.
I decided to start at 46 and then go downward.
46/23=x/17
Then you cross multiply
43*17=x*23
782=23x
Divide 23 on both sides
X=34.
Then add 34 by 46 to get the length of VX.
Below is a picture of notes on how to solve these types of problems.