Answer:
- 3.28 should be plotted between 3.2 and 3.4
- 3.28 is closer to 3.0 than 4.0.
- 3.28 is closer to 3.2 than 3.4.
Step-by-step explanation:
3.28 is located towards the positive side of the number line being a positive value. Since the value is located between 3.2 and 3.4, therefore it can be plotted between this two points.
Also 3.28 is known to be closer to 3.0 than 4.0 because the difference between 3.28 and 3.0 is lower than the difference between 3.28 and 4.
4-3.28 = 0.72(larger value)
3.28-3.0 = 0.28 (smaller value)
The smaller the difference, the closer the value of 3.28 to the value in consideration.
Similarly, 3.28 is closer to 3.2 than 3.4, due to their differences. The difference between 3.28 and 3.2 is lower than the difference between 3.28 and 3.4 as shown:
3.28 - 3.2 = 0.08(smaller)
3.4-3.28 = 0.12(larger)
To solve this problem you must apply the proccedure shown below:
1. You have to r<span>ewrite x=12 in polar form. Then, you have:
12=rCos</span><span>θ
2. Then, you must solve for r, as following:
r=12/Cos</span><span>θ
</span> 3. You have that 1/Cosθ=Sec<span>θ, therefore:
</span> r=12(1/Cos<span>θ)
</span> r=12Sec<span>θ
</span> Therefore, as you can see, the answer is: r=12Secθ<span>
</span>
The angle measured from the normal to the mirror will be
.. arctan(14/11.5) ≈ 50.6°