Answer:
10
Step-by-step explanation:
5 choose 2 is 5x4/2, which is 20/2, which is 10.
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
If you would like to know what was the temperature after the increase, you can calculate this using the following step:
the beginning temperature: -9
increased: 37
the temperature after the increase: -9 + 37 = 28oF
The temperature after the increase was 28oF.
There are 16 fl oz in 1 pt
so 96 fl oz is equal to 6 pts
answer: 6 pts
Answer:
slope = -1/5
Step-by-step explanation:
The slope of a line between two points is ...
slope = (change in y)/(change in x)
= (-1 -0)/(5 -0) = -1/5
The slope of the line is -1/5.
