Answer:
A ≈ 119.7°, b ≈ 25.7, C ≈ 24.3°
Step-by-step explanation:
A suitable app or calculator does this easily. (Since you're asking here, you're obviously not unwilling to use technology to help.)
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Given two sides and the included angle, the Law of Cosines can help you find the third side.
... b² = a² + c² - 2ac·cos(B)
... b² = 38² + 18² -2·38·18·cos(36°) ≈ 661.26475
... b ≈ 25.715
Then the Law of Sines can help you find the other angles. It can work well to find the smaller angle first (the one opposite the shortest side). That way, you can tell if the larger angle is obtuse or acute.
... sin(C)/c = sin(B)/b
... C = arcsin(c/b·sin(B)) ≈ 24.29515°
This angle and angle B add to less than 90°, so the remaining angle is obtuse. (∠A can also be found as 180° - ∠B - ∠C.)
... A = arcsin(a/b·sin(B)) ≈ 119.70485°
Answer:
(4/7)÷ (3/-8). Division of fractions is the same as multiplying their reciprocals. So (4/7) x (-8/3). Now multiply the numerators together and denominators together (make sure you only use the negative sign once). (4 x -8) / (7 x 3) = -32/21
(-4)-4 could be some integers to subtract and get -8
Answer:
Total cost = 983.8
Step-by-step explanation:
Monthly charge = 39.95
One time set up fee = x
Number of months = y
Total cost = x + 39.95y
The total cost of 6 months of service is 264.70.
264.70 = x + 39.95(6)
264.70 = x + 239.7
264.70 - 239.7 = x
x = 25
Total cost = 25 + 39.95y
Write and solve a linear equation to find the total cost for 2 years of service
2 years = 24 months
Total cost = 25 + 39.95y
= 25 + 39.95(24)
= 25 + 958.8
= 983.8
Total cost = 983.8