Answer: The answer to that is the second one because that answer would be displayed in a histogram because its collecting data from the people or object
Step-by-step explanation:
Answer:
- Length of diagonal 1: 8 meters
- Length of diagonal 2: 10 meters
Step-by-step explanation:
Let d1 be the first diagonal and d2 be the second diagonal.
Given
Area = 40 square meters
And one diagonal is 2 meter longer than other
![d_2 = d_1+2](https://tex.z-dn.net/?f=d_2%20%3D%20d_1%2B2)
The formula for area of kite is;
![Area = \frac{1}{2} * d_1 * d_2](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2A%20d_1%20%2A%20d_2)
Putting the known values
![40 = \frac{1}{2} * d_1 * (d_1+2)\\80 = (d_1)^2+2d_1\\d_1^2 +2d_1-80 = 0\\](https://tex.z-dn.net/?f=40%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2A%20d_1%20%2A%20%28d_1%2B2%29%5C%5C80%20%3D%20%28d_1%29%5E2%2B2d_1%5C%5Cd_1%5E2%20%2B2d_1-80%20%3D%200%5C%5C)
The expression is a quadratic polynomial
Factorizing
![d_1^2 + 10d_1-8d_1-80 = 0\\d_1(d_1+10)-8(d_1+10) = 0\\(d_1+10)(d_1-8) = 0\\d_1 + 10 = 0\\d_1 = -10\\d_1-8 = 0\\d_1 = 8](https://tex.z-dn.net/?f=d_1%5E2%20%2B%2010d_1-8d_1-80%20%3D%200%5C%5Cd_1%28d_1%2B10%29-8%28d_1%2B10%29%20%3D%200%5C%5C%28d_1%2B10%29%28d_1-8%29%20%3D%200%5C%5Cd_1%20%2B%2010%20%3D%200%5C%5Cd_1%20%3D%20-10%5C%5Cd_1-8%20%3D%200%5C%5Cd_1%20%3D%208)
As the value of length cannot be negative so discarding the negative value
![d_1 = 8d_2 = d_1+2 = 8+2 =10](https://tex.z-dn.net/?f=d_1%20%3D%208d_2%20%3D%20d_1%2B2%20%3D%208%2B2%20%3D10)
Hence,
- Length of diagonal 1: 8 meters
- Length of diagonal 2: 10 meters
5+2=7 which means there will be 7 zeros so it is 10000000 times greater than