Let x be a <span>positive number
</span>
![x^2+(x+2)^2=130 \ \ \ \ \ \ [x\ \textgreater \ 0] \\ x^2+x^2+4x+4-130=0 \\ 2x^2+4x-126=0 \\ x^2+2x-63=0 \\ D=b^2-4ac=2^2-4*1*(-63)=4+252=256 \\ x_{1,2}= \frac{-bб \sqrt{D} }{2a}= \frac{-2б \sqrt{256} }{2*1}= \frac{-2б16 }{2}\\x_1=-9 \ \ \ \ \O\\x_2=7](https://tex.z-dn.net/?f=x%5E2%2B%28x%2B2%29%5E2%3D130%20%5C%20%5C%20%5C%20%20%5C%20%5C%20%5C%20%5Bx%5C%20%5Ctextgreater%20%5C%200%5D%20%5C%5C%20x%5E2%2Bx%5E2%2B4x%2B4-130%3D0%20%5C%5C%202x%5E2%2B4x-126%3D0%20%5C%5C%20x%5E2%2B2x-63%3D0%20%5C%5C%20D%3Db%5E2-4ac%3D2%5E2-4%2A1%2A%28-63%29%3D4%2B252%3D256%20%5C%5C%20x_%7B1%2C2%7D%3D%20%5Cfrac%7B-b%D0%B1%20%5Csqrt%7BD%7D%20%7D%7B2a%7D%3D%20%5Cfrac%7B-2%D0%B1%20%20%5Csqrt%7B256%7D%20%20%7D%7B2%2A1%7D%3D%20%20%5Cfrac%7B-2%D0%B116%20%7D%7B2%7D%5C%5Cx_1%3D-9%20%5C%20%5C%20%5C%20%5C%20%5CO%5C%5Cx_2%3D7)
<span>
Answer: the </span><span>number</span> is 7.
Check:
7² + (7+2)² = 49 + 9² = 49 + 81 = 130
The volume of sphere is: 1149.76\ cm^3
Further explanation:
We have to find the radius of the sphere first to find the volume of sphere
Given
Surface Area of Sphere=530.93 cm^2
The volume of sphere is: 1149.76\ cm^3
Keywords: Sphere, Volume of sphere
Learn more about spheres at:
#LearnwithBrainly
If you read the question, you will see that the requirement is missing. By Googling the question, the complete content could be found here:
brainly.com/question/12108641
The mean price and median price are close together.
Answer: Option 2
<u>Explanation:</u>
The shape of the graph which is shown in the picture is symmetric. Since it is symmetrical in shape, most of the data is clustered together around the center. This center is the median. The mean will be close to the median, since most of the data values are close to this.
The graph shows that the prices of the beverages are some where near and close to each other. The prices are not at extreme ends and this makes the shape of the graph symmetrical. Had there been any kind of extreme ends, then the shape of the graph would not have been the same.
So what we want to know is how long is the car that is 6% shorter then the other car. We can look at it this way: the shorter car is 94% the lenght of the longer car. Lets call the length of the shorter car x, then we have the equation: 94% * 3.9m=x. Or, (94/100)*3.9=x. Now we solve for x and get: x= 3.666m. So the shorter car is 3.666 m long.
