110% of 90 is:
90*1.10 = 99
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 amount of apples picked by the farmers is:
Farmer A=38%=0.38
Farmer B=22%=0.22
Farmer C=0.29
Farmer D=0.2
Thus the order from the least to greatest by th number of apples they pick will be:
D,B,C,A
that is:
Farmer D, Farmer B, Farmer C, Farmer A
There is only one positive integer which is exactly twice the sum of its digits. find this 2 digit number
1/5 equals 12 so 12 times 5 is 60 so
a=36
b=24
Your welcome
