Answer:
Step-by-step explanation:
slope of required line=5
point is (-1,0)
reqd. eq. of line is
y-0=5(x-(-1))
y=5(x+1)
y=5x+5
Answer:
The answer is C 35+12<em>c</em> ≤ 145
Step-by-step explanation:
Answer:
72.4 seconds
Step-by-step explanation:
We are given that,
Time taken by each person in the team = 18.1 seconds
Number of members in the team = 4
It is required to find the total time taken by the team to finish the race.
Thus, the time taken taken = 4 × 18.1 = 72.4 seconds
Hence. the team finished the race in 72.4 seconds.
Answer:
the angle shown is a straight angle value of which is equal to 180°
3x + 30. 6 = 180
3x = 180 - 30. 6
3x = 149.4
<h3>x = 49.8</h3>
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.)
_____
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°