the slant height would be the hypotenuse of a right triangle. 1/2 the length of the base would be one side of a right triangle. Use the Pythagorean theorem to find the height:
89.9^2 = 9.9^2 + x ^2
8082.01 = 98.01 + x^2
X^2 = 8082.01-98.01
X^2 = 7984
X = sqrt(7984)
X = 89.35
Round to 89.4
Answer:
Third option 2,6,24,120,720
Step-by-step explanation:
Step 1
The first step is to simplify the expression for the nth term of this sequence using the definition of the factorial symbol. The simplification of this expression is done below,
![a_n=\frac{(n+2)!}{(n+2)}=\frac{(n+2)\times(n+1)!}{(n+2)} =(n+1)!](https://tex.z-dn.net/?f=a_n%3D%5Cfrac%7B%28n%2B2%29%21%7D%7B%28n%2B2%29%7D%3D%5Cfrac%7B%28n%2B2%29%5Ctimes%28n%2B1%29%21%7D%7B%28n%2B2%29%7D%20%3D%28n%2B1%29%21)
Step 2
The second step is to use the substitute different values of n into the expression of the nth term to work out which sequence corresponds to the correct answer.
![a_1=(1+1)!=2!=2\\a_2=(2+1)!=3!=6\\a_3=(3+1)!=4!=24\\a_4=(4+1)!=5!=120\\a_5=(5+1)!=6!=720](https://tex.z-dn.net/?f=a_1%3D%281%2B1%29%21%3D2%21%3D2%5C%5Ca_2%3D%282%2B1%29%21%3D3%21%3D6%5C%5Ca_3%3D%283%2B1%29%21%3D4%21%3D24%5C%5Ca_4%3D%284%2B1%29%21%3D5%21%3D120%5C%5Ca_5%3D%285%2B1%29%21%3D6%21%3D720)
The terms of the sequence are {2,6,24,120,720}. The correct answer is the third option.
Answer: 2m(3m - 4n + 2)
Step-by-step explanation: Factor 4m - 8mn + 6m^2
6m^2 - 8mn + 4n
= 2m(3m - 4n + 2)
Answer:
Step-by-step explanation: