A 45-45-90 triangle would have legs that are of the same length (x) and the hypotenuse would be x times the square root of 2.
We can make an equation and solve for x:
Divide both sides by sqrt{2} to have (approximately):
x = <span>12.73</span>
Answer:
Explanation:
The <em>average</em> is the mean. It is calculated adding all the values and dividing the sum by the number of values (data):
For the students who took the test the day before you, you can write:
Where n is the number of students who took the test first.
Thus, when the average was 69 the equation is:
When you take the test, the n + 1, the new average is 70, and the sum of the scores raised in 95 points:
Now you have a system of two equation and two unknowns, so you can solve it.
Clear the sum of the scores from the first equation:
Subsitute in the second equation:
Solve for n:
Thus, when you include your self the number of students who took the test was 25 + 1 = 26.
Answer:
Step-by-step explanation:
1=128
2=0.4
3=490
(8x - 8y + 9) - (5x - 8y - z) = 3x + z + 9
8 - 5 = 3
-8 - (-8) = 0
9 - 0 =9
0 - (-z) = z
so it is written 3x +z +9
The annual FICA (Federal Insurance Contributions Act) tax is composed of two parts: Social Security and Medicare Taxes. On the employee's side, he/she has to shoulder 6.2% of the annual salary for the Social Security Tax, and 1.45% of the annual salary for the Medicare Tax. So in total, FICA takes 7.65% of your annual salary as tax. To calculate the FICA tax to be paid, this is shown below:
$38,480 x 7.65% = $2943.72
Therefore, for an annual salary of $38,480, $2943.72 goes into FICA tax payment.
