Answer:
The angle is
.
Step-by-step explanation:
The building is 35 feet tall, and the rope is 400 feet long.Applying the trigonometric function, we have;
Sin θ = ![\frac{opposite}{hypotenuse}](https://tex.z-dn.net/?f=%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D)
The height of the building represents the opposite side, while the length of the rope represents the hypotenuse. Thus;
Sin θ = ![\frac{35}{400}](https://tex.z-dn.net/?f=%5Cfrac%7B35%7D%7B400%7D)
Sin θ = 0.0875
θ =
0.0875
= ![5.02^{0}](https://tex.z-dn.net/?f=5.02%5E%7B0%7D)
The angle made by the rope with respect to the ground is approximately
.
Answer:
More pencils than pens
Step-by-step explanation:
Answer:
There are 700 books in Library Collections.
Step-by-step explanation:
Given:
Number of historical books = 70
The equation used to find the totals number of books in library collection.
![\frac{1}{10}b = 70](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B10%7Db%20%3D%2070)
where b⇒ Total number of books in library collections.
We need to find the Total number of books in library collections.
Solution:
![\frac{1}{10}b = 70](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B10%7Db%20%3D%2070)
Now by solving the above equation we get;
First we will multiply both side by 10 we get;
![\frac{1}{10}b \times 10= 70\times 10\\\\b =700](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B10%7Db%20%5Ctimes%2010%3D%2070%5Ctimes%2010%5C%5C%5C%5Cb%20%3D700)
Hence there are 700 books in Library Collections.
The constant term in the equation is -20 because you will always be subtracting 20 no matter how big x is