Binomial factor of 25x2 + 40xy + 16y2 ?
1 answer:
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Answer:
1.
- Degree: 2
- Number of terms: 3
2.
- Degree: 3
- Number of terms: 2
3.
- Degree: 4
- Number of terms: 2
Step-by-step explanation:
For this exercise you need to remember the multiplication of signs:
1. Given:
Apply the Distributive property:
Add the like terms:
You can idenfity that:
- Degree: 2
- Number of terms: 3
2. Given:
Add the like terms:
You can idenfity that:
- Degree: 3
- Number of terms: 2
3. Given:
Apply Distributive property:
Add the like terms:
You can idenfity that:
- Degree: 4
- Number of terms: 2
Answer:
The height of the pole is 167 m
Step-by-step explanation:
The given parameters are;
Increase in the length of the shadow = 90 m
Initial angle of elevation of the Sun = 58°
Final angle of elevation of the Sun = 36°
We have a triangle formed by the change in the length of the shadow and the rays from the two angle of elevation to the top of the pole giving an angle 22° opposite to the increase in the length of the shadow
We have by sin rule;
90/(sin (22°) = (Initial ray from the top of the pole to the end of the shadow's length)/(sin(122°)
Let the initial ray from the top of the pole to the end of the shadow's length = l₁
90/(sin (22°) = l₁/(sin(122°)
l₁ = 90/(sin (22°) ×(sin(122°) = 283.3 m
Therefore;
The height of the pole = 283.3 m × sin(36°) = 166.52 m
The height of the pole= 167 m to three significant figures.
