Answer: sorry dont know what to tell you im struggling too
Step-by-step explanation:
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Answer:
![2w - 7](https://tex.z-dn.net/?f=2w%20-%207)
Step-by-step explanation:
1) Expand by distributing terms.
![5 + 2w - 12](https://tex.z-dn.net/?f=5%20%2B%202w%20-%2012)
2) Collect like terms.
![2w + (5 - 12)](https://tex.z-dn.net/?f=2w%20%2B%20%285%20-%2012%29)
3) Simplify.
![2w - 7](https://tex.z-dn.net/?f=2w%20-%207)
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Answer:
- The scientist can use these two measurements to calculate the distance between the Earth and the Sun by applying one of the trigonometric functions: Cosine of an angle.
- The scientist can substitute these measurements into
and solve for the distance between the Earth and the Sun.
Step-by-step explanation:
Let's assume that the right triangle formed is like the one shown in the figure attached, where "d" represents the distance between the Earth and the Sun.
Then:
The scientist can use only these two measurements to calculate the distance between the Earth and the Sun by applying one of the trigonometric functions: Cosine of an angle.
The scientist can substitute these measurements into
, and solve for the distance "d".
Knowing that:
![\alpha=x\°\\adjacent=d\\hypotenuse=y](https://tex.z-dn.net/?f=%5Calpha%3Dx%5C%C2%B0%5C%5Cadjacent%3Dd%5C%5Chypotenuse%3Dy)
Then:
![cos(x\°)=\frac{d}{y}](https://tex.z-dn.net/?f=cos%28x%5C%C2%B0%29%3D%5Cfrac%7Bd%7D%7By%7D)
And solving for "d":
![ycos(x\°)=d](https://tex.z-dn.net/?f=ycos%28x%5C%C2%B0%29%3Dd)
Answer:
![x = 9](https://tex.z-dn.net/?f=x%20%3D%209)
Step-by-step explanation:
To find x, we first have to solve the equation given in the question:
![\frac{20}{12} = \frac{15}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B20%7D%7B12%7D%20%3D%20%5Cfrac%7B15%7D%7Bx%7D)
![20x = 15 \cdot 12](https://tex.z-dn.net/?f=20x%20%3D%2015%20%5Ccdot%2012)
![x = \frac{180}{20}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B180%7D%7B20%7D)
![x = 9](https://tex.z-dn.net/?f=x%20%3D%209)
Therefore, x = 9.
Hope this helped!
Answer:
it a small trianglStep-by-step explanation: