No you would not use the Pythagorean Theorem, You would take the two sides and multiply them together, and divide it by 2.
Answer:
8/5 < x< 12/5
Step-by-step explanation:
(2 - x)^2 < 4/25
Take the square root of each side
sqrt((2 - x)^2) <±sqrt( 4/25)
Make two equations
2-x < 2/5 2-x > -2/5
Subtract 2 from each side
2-x-2 < 2/5 -2 2-x-2 > -2/5-2
-x < 2/5 - 10/5 -x > -2/5 - 10/5
-x < -8/5 -x > -12/5
Multiply by -1, remembering to flip the inequality
x> 8/5 x < 12/5
8/5 < x< 12/5
Hi there! 9.125 * 10^-3 is definitely less than 9.125 * 10^2, because when it comes to negative powers of 10, the numbers are decimals. 10^-3 equals 0.001 or one thousandths in word form. 10^2 is 100. When solving for the answers. 0.009125 is less than 912.5. When 912.5 is divided by 0.009125 912.5 is 100^5 or 100,000 times greater than 0.009125. The answer is that 9.125 * 10^-3 is 100,000 (100^5) times less than 9.125 * 10^2.
The equation seems to be
1
-------- = 5 ^ (x + 4)
25
In that case, this is the solution, stept by step:
1) factor 25: 25 = 5^2
1
=> ----------- = 5^(x + 4)
5^2
2) invert 5^2
=> 5^(-2) = 5^(x+4)
3) Given that the bases are equal, the exponents also have to be equal:
=> - 2 = x + 4
3) transpose +4:
=> - 2 - 4 = x
=> x = - 6
Answer: - 6
An easy way to solve fraction problems like this is to make each fraction have the same denominator. Since he has $100, the denominator will be 100.
2/10=?/100 10*10=100 1*10=20 20/100 of his money he wants to spend on video games
55/100 already has 100 as its denominator, so he wants to spend 55/100 on a skateboard.
3/10=?/100 10*10=100 3*10=100 30/100 is how much he wants to spend on comic books.
Add all of the fractions together to see how much he wants to spend and if he has enough.
20/100+55/100+30/100=105/100
He wants to spend $105, which is $5 more than he has.
