I really need help with this, thank you!!!
2 answers:
Answer:
6. 60°; 7. 5.20; 8. 7.96
Step-by-step explanation:
5. <em>Draw ∆ABC </em>
See Fig. 1 below
6 .<em> Determine m∠C </em>
∠A + ∠B + ∠C = 180
40 + 80 + ∠C = 180
120 + ∠C = 180 Subtract 120 from each side
m∠C = 60°
7. <em>Determine a.</em>
By the law of sines,
a/sinA = c/sinC Multiply each side by sin A
a = c(sinA/sinC)
= 7 × (sin40/sin60)
= 7 × 0.6428/0.8660
= 5.20
8. Determine b.
b/sinB = c/sinC Multiply each side by sin B
b = c(sinB/sinC)
= 7 × (sin80/sin60)
= 7 × 0.9848/0.8660
= 7.96
Answer:
6. 60°
7. 5.19559
8. 7.96011
Step-by-step explanation:
6. The sum of angles in a triangle is 180°, so the remaining angle is ...
180° -40° -80° = 60°
7. The lengths of sides are proportional to the sine of the opposite angle (Law of Sines).
a = c·sin(A)/sin(C) = 7·sin(40°)/sin(60°) ≈ 5.19559
8. Same explanation as 7.
b = c·sin(B)/sin(C) = 7·sin(80°)/sin(60°) ≈ 7.96011
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Answer:
The greatest number of stamps that Nathan can put on each page = 16.
Step-by-step explanation:
Given:
Nathan has:
80 US stamps
64 Canadian stamps
32 Mexican stamps
The stamps need to put on a page such that each page has same number of same country stamps on each page.
To find the greatest number of stamps he can put on each page.
Solution:
In order to find the greatest number of stamps Nathan can put on each page, we will find the G.C.F. of the three numbers.
The numbers are:
<em>We will list down the prime factors of each number.</em>
The G.C.F can be given as = = 16
Thus, the greatest number of stamps that Nathan can put on each page = 16.