Answer:
12.1 cm
Step-by-step explanation:
Using the law of sines, we can find angle C. Then from the sum of angles, we can find angle B. The law of sines again will tell us the length AC.
sin(C)/c = sin(A)/a
C = arcsin((c/a)sin(A)) = arcsin(8.2/13.5·sin(81°)) ≈ 36.86°
Then angle B is ...
B = 180° -A -C = 180° -81° -36.86° = 62.14°
and side b is ...
b/sin(B) = a/sin(A)
b = a·sin(B)/sin(A) = 13.5·sin(62.14°)/sin(81°) ≈ 12.0835
The length of AC is about 12.1 cm.
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<em>Comment on the solution</em>
The problem can also be solved using the law of cosines. The equation is ...
13.5² = 8.2² +b² -2·8.2·b·cos(81°)
This is a quadratic in b. Its solution can be found using the quadratic formula or by completing the square.
b = 8.2·cos(81°) +√(13.5² -8.2² +(8.2·cos(81°))²)
b = 8.2·cos(81°) +√(13.5² -(8.2·sin(81°))²) . . . . . simplified a bit
Answer:
D: -75 the balloon is descending at a rate of 75ft per minute
Step-by-step explanation:
To find the slope of any graph, take two points on the graph and subtract them y/x so to get this answer is used the points (0,450) and (2,300) and subtracted the y-values over the x-values
450-300=150
0-2=-2
150/-2 = -75
that is the slope and since it is negative and the slope itself is a diagonal line going towards the x-axis you know it’s descending.
Hope this helps :)
Answer:
i think the answer is 2
Step-by-step explanation:
if you divide 18 /90 you get 0.2 then you multipliy itby 10 and get 20
Answer:
109
Step-by-step explanation:
