Answer:
Step-by-step explanation:
AC = 50 cm
BC = 14 cm
Pythagorean theorem,
AB² + BC² = AC²
AB² + 14² = 50²
AB² + 196 = 2500
AB² = 2500 - 196
AB² = 2304
AB = √2304
AB = 48 cm
Answer:
The correct answer is "
". A further solution is provided below.
Step-by-step explanation:
According to the question,
The probability of getting a 5 will be:
= 
= 
The probability of getting a 7 will be:
= 
= 
The probability of not a 5 nor a 7 will be:
= ![1-[\frac{4}{36} +\frac{4}{36} ]](https://tex.z-dn.net/?f=1-%5B%5Cfrac%7B4%7D%7B36%7D%20%2B%5Cfrac%7B4%7D%7B36%7D%20%5D)
= 
= 
Now,
For roll of 2 dice,
⇒ 
![=\frac{1}{9} [1+\frac{13}{18} +\frac{13^2}{18^2} +\frac{13^3}{18^3} +...]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B9%7D%20%5B1%2B%5Cfrac%7B13%7D%7B18%7D%20%2B%5Cfrac%7B13%5E2%7D%7B18%5E2%7D%20%2B%5Cfrac%7B13%5E3%7D%7B18%5E3%7D%20%2B...%5D)
![=\frac{1}{9} [\frac{1}{1-\frac{13}{18} } ]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B9%7D%20%5B%5Cfrac%7B1%7D%7B1-%5Cfrac%7B13%7D%7B18%7D%20%7D%20%5D)
![=\frac{1}{9} [{\frac{1}{\frac{5}{8} } ]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B9%7D%20%5B%7B%5Cfrac%7B1%7D%7B%5Cfrac%7B5%7D%7B8%7D%20%7D%20%5D)
Answer:
Sample Response
Step-by-step explanation:
He is incorrect because if you substitute x for 37 you will get the equation 8×37+200. 8×37=296 +200= 496. Since it is not greater or equal to 500 the inequality is not true.
Answer:
A
Step-by-step explanation:
X is either larger than -1 or smaller than 3 which is demonstrated in the equation in option A
Answer:
i think because theyre like terms, im not sure tho
