Answer:
0.755
Step-by-step explanation:
The mixed fraction just needs to simplified to a decimal number
like so:
0.755
200/151
151-140 = 11
11-10=1
1-1=0
The answer is A. Please let me know if i'm wrong
The measures of the two angles are 82.1 and 7.9.
Answer: A. 31.5
Step-by-step explanation:
Using law of cosine because it is side angle side
a=16
b=21
angle = 116
c^2=a^2+b^2-2ab cosC, let C be the angle given
c^2=(21)^2+(16)^2-2(16)(21) cos(116)
c^2=441+256-672 cos(116)
i used a ti-89 and answered the right side and got
(you can find a ti-89 simulator online, but for problems like this make sure it is in degree mode)
991.585
c^2=991.585
take square root of both sides
=31.4894, which if you round it up it would be 31.5, so the answer would be A
therefore:
a=16
b=21
c=31.5
Answer:
The answer is 
±
in exact form or 
, 
in decimal form.
Step-by-step explanation:
To solve this problem, start by moving all terms to the left side of the equation and simplify. Simplify the equation by subtracting 12 from both sides of the equation and squaring 
, which will look like 
. Next, simplify the equation again, which will look like 
.
Then, use the quadratic formula to find the solutions. The quadratic formula looks like
.
For this problem, the quadratic variables are as follows:
The next step is to substitute the values , , and into the quadratic formula and solve. The quadratic formula will look like 
. To simplify the equation, start by simplifying the numerator, which will look like 
. Then, multiply 2 by 1 and simplify the equation, which will look like 
. The final answer is ± in exact form. In decimal form, the final answer is , .
