Answer:
8.2 hours
Step-by-step explanation:
Since Joe started his trip driving an average speed of 50 miles per hour, you would have to divide 410 and 50. You would get the answer of 8.2 hours
Answer:
(a) α = 60°, β = 30°
(b) α ≈ 67.4°, β ≈ 22.6°
Step-by-step explanation:
I'll do (a) and (b) as examples. Make sure your calculator is set to degrees, not radians.
(a) For α, we're given the opposite and adjacent sides, so use tangent.
tangent = opposite / adjacent
tan α = √300 / 10
tan α = √3
α = 60°
Since angles of a triangle add up to 180°, we know that β = 30°. But we can use tangent again to prove it:
tan β = 10 / √300
tan β = 1 / √3
tan β = √3 / 3
β = 30°
(b) For α, we're given the adjacent side and the hypotenuse. So use cosine.
cos α = adjacent / hypotenuse
cos α = 15 / 39
cos α = 5 / 13
α ≈ 67.4°
Again, we know that β = 22.6°, but let's show it using trig. We're given the opposite side and hypotenuse, so use sine:
sin β = 15 / 39
sin β = 5 / 13
β ≈ 22.6°
Answer: 101 Degrees for angle BCD
Step-by-step explanation: All 3 angles in any triangle add up to 180, in the first triangle (one on the left), you have 58 and 78 degrees, add them both and subtract from 180, you get 44 degrees for angle C on the left. Do the same on the right side of the triangle, you should get 35 degrees for angle C on the right. Add them both up, (35+44) then subtract from 180 degrees to find the measure of angle BCD.
Answer:
same is so sad its either cheating or leaving
Step-by-step explanation:
Answer:
m = 10
Step-by-step explanation:
The value of <em>m</em> that would make this equation true is <em>10</em>. To figure this out you must work the equation to combine like terms. To start, remember PEMDAS. You would begin with <em>1/2 (8m - 18) </em>and multiply both <em>8m </em>and <em>18 </em>by <em>1/2. </em>Because half of <em>8</em> is <em>4</em> and half of<em> 18</em> is <em>9</em>, your new equation would be <em>4m - 9 = 31. </em>From here you would add nine to both sides to finish combining like terms. The equation from this point should be <em>4m = 40.</em> To find the value of <em>m</em>, you then have to divide both sides by <em>4</em>, leading to the equation/solution of <em>m = 10.</em>
