Answer:
C ≈ 22.1°
Step-by-step explanation:
The law of cosines formula is given. Solving it for C, we find ...
C = arccos((a^2 +b^2 -c^2)/(2ab))
where a and b are the sides adjacent to the angle.
Then we have ...
C = arccos((14^2 +19^2 -8^2)/(2·14·19)) = arccos(493/532)
C ≈ 22.1°
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If you have a fair number of these to do, a spreadsheet is a useful tool. There are also triangle solver apps on the web or your local smart platform that will do this, too.
Answer:
$21,250
Step-by-step explanation:
4% = 850
100% = x
Cross multiply the above to get 21,250
Another way of doing this is:
850 divided by 4 = 212.5
So every percent is equal to 212.5, so:
212.5 * 100 (for 100%) = 21,250
10/4 = x/20
4x = 200
x = 200/4
x = 50 <== LP = 50
Answer:
m = 10 , n = 5
Step-by-step explanation:
using the cosine and tangent ratio in the right triangle and the exact values
cos45° = 
and tan45° = 1 , then
cos45° = 
= 
= ( cross- multiply )
m = 5 × = 5 × 2 = 10
-----------------------------------------
tan45° = 
= 
= 1 , then
n = 5
Answer:
c
Step-by-step explanation:
The minimum and the x intercept are the same point.
Your answer is the second best answer. The definition of an x intercept is the point on a graph where y = 0. In this case, the graph begins to move in the opposite direction from the direction it was moving.
And so the x intercept just touches the x axis. Good enough. It is still classified as the x intercept because y = 0.
