Number 1 is b
Number 2 is a
Number 3 is b
I hope I helped you!
<span>11.9
Actually providing the diagram would be useful. Also, distinguishing between upper and lower case would also be useful. But given the convention that angles and the opposite side of the triangle are both given the same letter, but different case, I will assume that angle Q is opposite side q and that you have a situation of SAS. So using the law of cosines we have:
c^2 = a^2 + b^2 - 2ab cos C
Substitute the known values:
c^2 = a^2 + b^2 - 2ab cos C
c^2 = 20^2 + 30^2 - 2*20*30*cos 15
c^2 = 400 + 900 - 1200*0.965925826
c^2 = 400 + 900 - 1159.110992
c^2 = 140.8890085
c = 11.86966758
Rounded to the nearest tenth, gives 11.9</span>
Multiply it out. 3*1+3*4t=3+12t
Answer:
y + 6 = (-8/5)(x - 1) in point-slope form
Step-by-step explanation:
Moving from the 1st point to the first, we see that x (the 'run') increases by 5 from -4 to 1, and y (the 'rise') decreases by 8. Thus, the slope of the line through these two points is m = rise / run = -8/5
Now we have two points on the line, plus the slope. Let's write out the point-slope formula for the equation of a straight line:
y - k = m(x - h), where (h, k) is a point on the line and m is the slope of the line.
Here, using the point (1, -6), we obtain:
y + 6 = (-8/5)(x - 1) in point-slope form
Answer: 271
Step-by-step explanation:
The formula we use to find the sample size is given by :-
, where is the two-tailed z-value for significance level of
p = prior estimation of the proportion
E = Margin of error.
If prior estimation of the proportion is unknown, then we take p= 0.5 , the formula becomes
Given : Margin of error : E= 0.05
Confidence level = 90%
Significance level
Using z-value table , Two-tailed z-value for significance level of
Then, the required sample size would be :
Simplify,
Hence, the required minimum sample size =271