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The boat makes 120 mile trip downstream in 3 hours, but makes the return trip in 4 hours. If b-the rate of the boat in still water and c= the rate of the current, the following equations represents the trip upstream; <span>4(b - c) = 120. The answer will be B.</span>
Answer: 32:1
Step-by-step explanation: Every hour she/he does 32 problems, so therefore the ratio is 32:1.
We will use the Cosine rule ( graph is in the attachment ):
c - the displacement
Angle: 90° + 45° = 135°
c² = a² + b² - 2 ab cos 135°
c² = 98² + 225² - 2 · 98 · 225 · ( -0.7071 )
c² = 9,604 + 50,625 + 31,183.11
c² = 91,412.11
c = √ 91,412.11
c = 302.344 km
Answer:
1. x=70
2. x=70
3. x=60
4. x=40
5. x=10
6. x=6
7. x=12
8. x=9
9. 88
10. 76
Step-by-step explanation:
1. Isosceles triangles have two sides equal to each other. If the unequal side is 40 degrees and there are 180 degrees in a triangle, 180-40=140/2=70 degrees for the other two sides.
2. Same explanation as 1.
3. Equilateral triangles all have the same degrees. If 60 is the degree for one angle, it is the degree for the other two as well.
4. Same explanation as 1.
5. All side length of an equilateral triangle are the same. If the side length of one side is 10, the other two sides are 10 too.
6. Same explanation as 5, but with 6 as the side length.
7. It is an isosceles triangle and two sides are equal. Since one side is 12 and the other side is the second of the equal sides, the side length would be 12
8. Same explanation as 7, but with 9 as the side length.
9. 180-46=134-46(other side length)=88 (remaining side length)
10. 2x+2+2x+2+3x+1=7x+5. 7x+5=180. 180-5=175. 175/7=25. 3(25)+1=76.
Hope this helps!!