Answer:
31°
Step-by-step explanation:
3x + 10 = 5x - 4 ... - 3x and +4 both side
14 = 2x
x = 7
angle 1 and angle 2: 5 x 7 - 4 = 31°
check: 3 x 7 + 10 = 31°
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!
Answer:
Q1.
a. three hundred sixty-four thousand eight hundred twenty-five
b. one hundred forty-three
c. nine hundred four thousand three hundred six
d. seven million twenty
e. fifty-six million thirty thousand one hundred twenty-three
f. six thousand twenty-four
g. two hundred four
h. six hundred seventy-four thousand one
i. nine hundred sixty-two thousand three hundred forty-two
Q2.
a. 5000000
b. 1000004
c. 60000203
d. 1311
e. 286
f. 34503271
g. 844536
h. 3748
i. 125064
j. 4605231
Answer:
b
Step-by-step explanation:
It's 1 mile. She ran an 8th if an mile. If the ran 1/8 of a mile 8 times, it adds up to 1 mile.
