Let’s say it takes time t hours for the interception.
In that time the carrier travels 28t nm west and the helicopter 130t nm.
Now we use the sine rule to find the angle x which lies between the distance 175 and 130t.
sin(x)/28t=sin35/130t. So sin(x)=28sin35/130=14sin35/65=0.1235 and x=7.0964 degrees.
Therefore the helicopter should use a bearing of 35+7.0964=42.0964 degrees north of east or 47.9 degrees east of north approx.
X + 3x + 4x = 56
8x = 56
x = 7
The shortest piece is 7 inches
The middle piece is 7*3 = 21 inches.
The longest piece is 4*7 = 28 inches
Check
7 + 21 + 28 = 56 It does check and the lengths are correct.
The ratio of soda to fruit juice in the punch is 1 to 2/3
<em>- What two consecutive odd integers have a sum of 48</em>?
23 + 25 = 48
- <em>Two negative consecutive integers have a sum of -45. What are the integers?
</em>
<em />-22 + -23
- <em>The sum of two consecutive integers 75. What are the two integers?</em>
37 + 38 = 75
- <em>What <u>three</u> consecutive odd integers have a sum of 81?
</em>
<em />25 + 27 + 29 = 81
Hope I could help! Have a good one. I believe that is all of the unanswered questions. If I missed one, let me know!<em />
Answer:
1,2,4,29,58,116
Step-by-step explanation:
Prime factorization 116=2x2x29
