Answer:
6. D.
7. F.
8. A.
9. B.
10. C.
Step-by-step explanation:
6. 9 + (12 - 10)
12 - 10 = 2
9 + 2 = 11
7. (20 - 15) x 2
20 - 15 = 5
5 x 2 = 10
8. 10 ÷ 5 + 7
10 ÷ 5 = 2
2 + 7 = 9
9. 6 + 2 x 3
2 x 3 = 6
6 + 6 = 12
10. (2 x 4) + 8
2 x 4 = 8
8 + 8 = 16
Let me know if this helps!
Answer: 53/5, 101/20
Step-by-step explanation:
10.6 is = 106/10. Then divide both numerator and denominator by 2. Then it equals 53/5.
5.05 = 505/100. Then divide both numerator and denominator by 5. This will equal 101/20.
Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given that
Area of triangular base = 12 sq. inches
Height of a three dimensional object = 8 inches
We need to find the Volume of that object.
As we know that "Volume = Area of base × Height "
So, it becomes,
So, the volume of object is 96 cubic inches.
Hence, Option 'D' is correct.
It's difficult to make out what the force and displacement vectors are supposed to be, so I'll generalize.
Let <em>θ</em> be the angle between the force vector <em>F</em> and the displacement vector <em>r</em>. The work <em>W</em> done by <em>F</em> in the direction of <em>r</em> is
<em>W</em> = <em>F</em> • <em>r</em> cos(<em>θ</em>)
The cosine of the angle between the vectors can be obtained from the dot product identity,
<em>a</em> • <em>b</em> = ||<em>a</em>|| ||<em>b</em>|| cos(<em>θ</em>) ==> cos(<em>θ</em>) = (<em>a</em> • <em>b</em>) / (||<em>a</em>|| ||<em>b</em>||)
so that
<em>W</em> = (<em>F</em> • <em>r</em>)² / (||<em>F</em>|| ||<em>r</em>||)
For instance, if <em>F</em> = 3<em>i</em> + <em>j</em> + <em>k</em> and <em>r</em> = 7<em>i</em> - 7<em>j</em> - <em>k</em> (which is my closest guess to the given vectors' components), then the work done by <em>F</em> along <em>r</em> is
<em>W</em> = ((3<em>i</em> + <em>j</em> + <em>k</em>) • (7<em>i</em> - 7<em>j</em> - <em>k</em>))² / (√(3² + 1² + 1²) √(7² + (-7)² + (-1)²))
==> <em>W</em> ≈ 5.12 J
(assuming <em>F</em> and <em>r</em> are measured in Newtons (N) and meters (m), respectively).
The numbers are 9,10,11 . the sum being 20 :) hope this helped have a great day
