A certain amount of money is shared in a ratio 2:3:9. If the difference between the first and second shares is $40, then the amo
1 answer:
Answer:
The amount of money shared is 360
Step-by-step explanation:
We are given that A certain amount of money is shared in a ratio 2:3:9.
Let x be the ratio
So, Shares of amount = 2x,3x and 9x
We are given that the difference between the first and second shares is $40
So, Shares are :
2x=2(40)=80
3x=3(40)=120
4x=4(40)=160
So,Total amount = 80+120+160=360
Hence the amount of money shared is 360
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i) the larger the angle, the larger the side in front of it, and the other way around as well. (Sine Law) Let a=20 in, then the largest angle is angle A.
ii) Given the measures of the sides of a triangle. Then the cosines of any of the angles can be found by the following formula:
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3. m(A) = Arccos(-0.641)≈130°,
4. Remark: We calculate Arccos with a scientific calculator or computer software unless it is one of the well known values, ex Arccos(0.5)=60°, Arccos(-0.5)=120° etc