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
The interior angles of a quadrilateral shape add up to 360 so 116+93+45+x = 360 with x equaling 106
Answer:
224
Step-by-step explanation:
- in a cylinder the only sides that would actually count is the top and bottom
- you would multiply the top and bottom.
- 14 x 16 = 224
- if I'm wrong let me know
Answer:
20800 dollars
Step-by-step explanation:
15600*(1/0.75)
=20800
the original price was 20800 dollars.
weirdly expensive computer though
Answer:
I think the answer is 200 feet
Step-by-step explanation:
