85 = 10x+15
70 = 10x
x = 7
180-85 = 95 = z
Answer:
0.25
Step-by-step explanation:
11/12 = 0.917
2/3 = 0.667
0.917 - 0.667 = 0.25
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
Answer:
4 people will be expected to win the prize
Step-by-step explanation:
Out of 15 people, 5 won a prize
5/15 = simplify into 1/3
1/3 = x/12 Cross multiply
3x = 12 Divide 3 on both sides
x = 4
<h3><u>
<em>Hope this helps!!!</em></u></h3><h3><u>
<em>:)</em></u></h3>
Answer:
should be 1007
1007.2932714 if we're being exact.
