Answer: -2a + 3b
Solution:
3b - 2a
Simplify
= -2a + 3b
Answer
1st is yes
2nd is no
Step-by-step explanation:
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
37.5 degrees
we know angled like this always have 180 degrees total between the 2. which means we can set up a little equation to solve for x. The equation is (3x+22)+(x-4)= 180. Initially we can take the solid numbers (22 and -4) and get rid of them by taking them to the 180. 180- 22 is 158. 158 + 4 is 162. now we have 3x + x = 162. we combine like terms. means we end up with 4x =162. We now divide by 4 which means we get 40.5. Now we know x is 40.5. Now dbc is just 40.5- 4 which is 37.5.
Answer: mean = 318.3
Median =330
Mode= 200
Step-by-step explanation:
Mean (average) is the total sum of values in a given a data set ÷ number of values
= 3820/12
Mean= 318.3
Median= midpoint value in a given data set. When the data set is an even number, median is calculated with the 2 middle point values as n1 + n2/2
Step 1: we rearranged the data set from least to highest value to give
200,200,220, 240,300,320,340,360,380,400,420 and 440
Median= 320 + 340/2
=660/2 = 340
Mode is the value with highest frequency in a given data set, from the given question, mode = 200
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