Answer:
Percentage increases and decreases, are found by setting the problem up proportionally.
You are trying to find what percentage of 17.37 is 8.30 first.
so What %/100 = 8.30/17.37
Now define a variable:
Let x = What%
x/100 = 8.30/17.37
17.37x = 830
x = 830/17.37
x ≈ 47.78
8.30 is approximately 47.78% of 17.37, so the percentage decrease is 100% - 47.78% = 52.22%
The percentage decrease is approximately 52.22%
Hello,
Let y=sin^(-1)(12/13.
==>sin y=12/13
==>cos y=√(1-(12/13)²)=√(25/169)=5/13
Answer 5/13
The two triangles are similar, so will have a direct scale factor. We can find this by using the given measurements, 10÷8=1.25. So the scale factor from the smaller to the bigger triangle is 1.25. This means that 1.25×(x+6)=AE. We can solve this as we would with a regular linear equation:
1.25(x+6)=2x+6
1.25x+7.5=2x+6
1.5=0.75x
2=x
∴ AE is 2x+6=10
-x-5
- -5x^2 - 3
or
(-x-5) - (-5x^2 - 3)
First, distribute the -. So then it becomes
-x - 5 + 5x^2 + 3
Since you can't add 5x^2 to -x. You can only combine -5 and 3.
Thus it becomes
- x + 5x^2 -2
However, you order in exponents so
5x^2 - x - 2
would be the correct answer.