Answer:
4/9
Step-by-step explanation:
Answer:
96
Step-by-step explanation:
you divide 60 min by 15 to get 4 then u multiply 12 × 4 =48 then multiply 48 × 2=96
Answer:
5. 78300000
6. 25000
7. 0.000008345
8. 0.003
Step-by-step explanation:
when the exponent is negative, the decimal moves to the left
when the exponent is positive, the decimal moves to the right
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:
44
Step-by-step explanation:
if you multiply 44 by 0.5(same as dividing it by 2), then you will get 22.
