Answer:
2sin^2(3x)
Step-by-step explanation:
1000₂<x₁₀<10000₂ = 1,000,000<x₁₀<100,000,000 reading one million is less than x₁₀, and x₁₀ is less than 100,000,000.
Here is each answer for x₁₀:
7= 282,475,249
8= 1,073,741,824
15= 576,650,390,625
16= 1,099,511,627,776
With those numbers, it doesn't look like any answer is right. I am thinking I am not understanding the question....
Answer: A is the answer
Step-by-step explanation:
I would solve this using tangents. Let h be height of flagpole.
Set up 2 right triangles, each with a base of 40.
The larger triangle has height of "h+70"
Smaller triangle has height of 70.
Now write the tangent ratios:
![tan A = \frac{h+70}{40} , tan B = \frac{70}{40}](https://tex.z-dn.net/?f=tan%20A%20%3D%20%5Cfrac%7Bh%2B70%7D%7B40%7D%20%20%2C%20tan%20B%20%3D%20%5Cfrac%7B70%7D%7B40%7D%20)
Note: A-B = 9
To solve for h we need to use the "Difference Angle" formula for Tangent
![tan (A-B) = \frac{tanA - tanB}{1+tan A tan B}](https://tex.z-dn.net/?f=tan%20%28A-B%29%20%3D%20%5Cfrac%7BtanA%20-%20tanB%7D%7B1%2Btan%20A%20%20tan%20B%7D)
Plug in what we know:
![tan(9) = \frac{ \frac{h+70}{40} - \frac{70}{40}}{1+ (\frac{h+70}{40})(\frac{7}{4})}](https://tex.z-dn.net/?f=tan%289%29%20%3D%20%5Cfrac%7B%20%5Cfrac%7Bh%2B70%7D%7B40%7D%20-%20%20%5Cfrac%7B70%7D%7B40%7D%7D%7B1%2B%20%28%5Cfrac%7Bh%2B70%7D%7B40%7D%29%28%5Cfrac%7B7%7D%7B4%7D%29%7D%20%20)
![tan (9) = \frac{ \frac{h}{40}}{ \frac{7h +650}{160}} = \frac{4h}{7h+650}](https://tex.z-dn.net/?f=tan%20%289%29%20%3D%20%5Cfrac%7B%20%5Cfrac%7Bh%7D%7B40%7D%7D%7B%20%5Cfrac%7B7h%20%2B650%7D%7B160%7D%7D%20%3D%20%5Cfrac%7B4h%7D%7B7h%2B650%7D%20%20)
![h = \frac{650 tan(9)}{4-7 tan(9)}](https://tex.z-dn.net/?f=h%20%3D%20%5Cfrac%7B650%20tan%289%29%7D%7B4-7%20tan%289%29%7D)
Step-by-step explanation:
5⁰= 1
2–3 means 1/2³
1/8
=0.125