Answer:
0.5<2-√2<0.6
Step-by-step explanation:
The original inequality states that 1.4<√2<1.5
For the second inequality, you can think of 2-√2 as 2+(-√2).
Because of the "properties of inequalities", we know that when a positive inequality is being turned into a negative, the numbers need to swap and become negative. So, the original inequality becomes -1.5<-√2<-1.4. (Notice how the √2 becomes negative, too). This makes sense because -1.5 is less than -1.4.
Using our new inequality, we can solve the problem. Instead of 2+(-√2), we are going to switch "-√2" with both possibilities of -1.5 and -1.6. For -1.5, we would get 2+(-1.5), or 0.5. For -1.4, we would get 2+(-1.4), or 0.6.
Now, we insert the new numbers into the equation _<2-√2<_. The 0.5 would take the original equation's "1.4" place, and 0.6 would take 1.5's. In the end, you'd get 0.5<2-√2<0.6. All possible values of 2-√2 would be between 0.5 and 0.6.
Hope this helped!
Yes because no same x-valu resulted in different y-values.
Answer: She will need 142 ft of curtain.
Step-by-step explanation:
Hi, first we have to convert the length of the curtain from inches to foot.
Since 1 inch = 1/12ft
For 24 inches:
24 inches x 1/12 = 2 ft
Since the company wants to make 71 curtains, we have to multiply the length of each curtain (2ft) by 71.
2ft x 71 = 142ft
She will need 142 ft of curtain.
Feel free to ask for more if needed or if you did not understand something.
The last 2 y”s are identical
Answer:
alternate angle, opposite angles are the same, 3x-3 = 147
x = 144/3 , x =48
Step-by-step explanation:
