Answer:
add all together then subtract by yhe original numbers so in this on it will be 4
9514 1404 393
Answer:
- 22.0
- 15.0
- 30.0°
- 137.0°
Step-by-step explanation:
These are all Law of Cosine problems. A generic expression for the length of side 'c' opposite angle C, which is defined by sides 'a' and 'b' is ...
c² = a² +b² -2ab·cos(C)
The square root of this gives the side length:
c = √(a² +b² -2ab·cos(C))
Rearranging the equation, we can obtain an expression for the angle C.
C = arccos((a² +b² -c²)/(2ab))
These two formulas are used to solve the offered problems.
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1) AC = √(13² +14² -2·13·14·cos(109°)) ≈ √483.506
AC ≈ 22.0
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2) BC = √(7² +10² -2·7·10·cos(123°)) ≈ √225.249
BC ≈ 15.0
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3) ∠B = arccos((24² +28² -14²)/(2·24·28)) = arccos(1164/1344)
∠B ≈ 30.0°
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4) ∠B = arccos((6² +9² -14²)/(2·6·9)) = arccos(-79/108)
∠B ≈ 137.0°
Answer:
565.2
Step-by-step explanation:
Cone=1/3bh
B is pir^2
so that means b=pi36 (6*6 =36)
36*15/3 is 565.2
Answer:
81/5 or 16 1/5.
Step-by-step explanation:
First convert the mixed number to an improper fraction:
3 6/7
= (3*7 + 6) / 7
= 27/7.
So we have
27/7 / 5/21
Invert the second fraction and multiply:
= 27/7 * 21/5
= (27*21) / (7*5)
= (27*3) / 5 ( as 21/7 = 3)
= 81/5
= 16 1/5.
