Answer:
X = 6°
Step-by-step explanation:
In a set of parallel lines, the opposite angles and corresponding angles are similar. Since the opposite angle of 110° is the corresponding angle of 19x - 4, you can conclude that 19x - 4 = 110° ⇒ 19x = 114° ⇒ x = 6°.
Answer:
The 99th tower contains 9900 blocks.
Step-by-step explanation:
From the question given, we were told that the nth tower is formed by stacking n blocks on top of an n times n square of blocks. This implies that the number of blocks in n tower will be:
n + n²
Now let us use the diagram to validate the idea.
Tower 1:
n = 1
Number of blocks = 1 + 1² = 2
Tower 2:
Number of blocks = 2 + 2² = 6
Tower 3:
Number of blocks = 3 + 3² = 12
Using same idea, we can obtain the number of blocks in the 99th tower as follow:
Tower 99:
n = 99
Number of blocks = 99 + 99² = 9900
Therefore, the 99th tower contains 9900 blocks.
![\bf \textit{using the 2nd fundamental theorem of calculus}\\\\ \cfrac{dy}{dx}\displaystyle \left[ \int\limits_{0}^{x}\ cos^{-1}(t)dt \right]\implies cos^{-1}(x) \\\\\\ f'(0.3)\iff cos^{-1}(0.3)\approx 1.26610367277949911126](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Busing%20the%202nd%20fundamental%20theorem%20of%20calculus%7D%5C%5C%5C%5C%0A%5Ccfrac%7Bdy%7D%7Bdx%7D%5Cdisplaystyle%20%5Cleft%5B%20%5Cint%5Climits_%7B0%7D%5E%7Bx%7D%5C%20cos%5E%7B-1%7D%28t%29dt%20%5Cright%5D%5Cimplies%20cos%5E%7B-1%7D%28x%29%0A%5C%5C%5C%5C%5C%5C%0Af%27%280.3%29%5Ciff%20cos%5E%7B-1%7D%280.3%29%5Capprox%201.26610367277949911126)
now.. 0.3 is just a value...we'e assuming Radians for the inverse cosine, so, if you check, make sure your calculator is in Radian mode
Answer:
(-b) is the answer.
Step-by-step explanation:
2(a-b)-(2a-b)
=2a-2b-2a+b (opening the brackets)
= -b
Hope this helps you buddy. Have a nice day^_^.
If you have doubt then you can ask in comments. I will surely answer.