Answer:
3 times 4
Step-by-step explanation:
3 groups of 4...............
Answer:
1) 33/36 = 11/12
2) 22/24 = 11/12
Step-by-step explanation:
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Answer:
1/3* (9x-6) = 2x+3
⇒ (1/3)(9x)- (1/3)*6 = 2x+3 (distributive property)
⇒ 3x - 2= 2x + 3
⇒ (3x-2x) -2 = (2x-2x) +3
⇒ x-2=3
⇒ x +(-2+2) = 3+2
⇒ x= 5.
Step-by-step explanation:
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1. Given any triangle ABC with sides BC=a, AC=b and AB=c, the following are true :
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:
a^{2}=b ^{2}+c ^{2}-2bc(cosA)
2.
20^{2}=9 ^{2}+13 ^{2}-2*9*13(cosA) 400=81+169-234(cosA) 150=-234(cosA) cosA=150/-234= -0.641
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
