Answer:
Option C: X=1
Step-by-step explanation:
2(X + 8) - 4x = 10x + 4
2X + 16- 4X= 10X + 4
-2X +16 =10X + 4
16 - 4 = 10X+2X
12 =12X
X=1
Answer:
8%
Step-by-step explanation:
9+3=12 (total number of students that write left handed)
90+60=150 (total number of 6th graders)
12/150 x 100% = 8%
Answer:
side length of the square = 10 cm
Explanation:The attached image shows a diagram representing the scenario described in the problem.
Taking a look at this diagram, we can note that the side length of the square is equal to the hypotenuse of the right-angled triangle
Therefore, we can get the side of the square by calculating the length of the hypotenuse using Pythagorean theorem as follows:
(hypotenuse)² = (length of first leg)² + (length of second leg)²
(hypotenuse)² = (8)² + (6)²
(hypotenuse)² = 64 + 36
(hypotenuse)² = 100
hypotenuse = √100
hypotenuse = 10 cm
This means that the length of the side of the square is also 10 cm
Hope this helps :)
The first term is 2 and the 20th term is 1048576 .
<u>Step-by-step explanation:</u>
Here we have , If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. We need to Find the first term and the 20th term. Let's find out:
We know that Sum of a GP is :
⇒
So ,Sum of first 12 terms is :
⇒ ![S_1_2 = \frac{a(2^{12}-1)}{2-1}](https://tex.z-dn.net/?f=S_1_2%20%3D%20%5Cfrac%7Ba%282%5E%7B12%7D-1%29%7D%7B2-1%7D)
⇒ ![8190=a(2^{12}-1)](https://tex.z-dn.net/?f=8190%3Da%282%5E%7B12%7D-1%29)
⇒ ![\frac{8190}{4095}=a](https://tex.z-dn.net/?f=%5Cfrac%7B8190%7D%7B4095%7D%3Da)
⇒ ![a=2](https://tex.z-dn.net/?f=a%3D2)
Now , nth term of a GP is
⇒ ![a_n = ar^{n-1}](https://tex.z-dn.net/?f=a_n%20%3D%20ar%5E%7Bn-1%7D)
So , 20th term is :
⇒ ![a_2_0 = 2(2)^{20-1}](https://tex.z-dn.net/?f=a_2_0%20%3D%202%282%29%5E%7B20-1%7D)
⇒ ![a_2_0 = (2)^{20}](https://tex.z-dn.net/?f=a_2_0%20%3D%20%282%29%5E%7B20%7D)
⇒ ![a_2_0 = 1048576](https://tex.z-dn.net/?f=a_2_0%20%3D%201048576)
Therefore , the first term is 2 and the 20th term is 1048576 .
Sry but I don’t know the answer I just have two answer 2 questions so I don’t have to watch a video