The perimeter of an office whose floor area is 225 square units is 60 units
For example;
For example;
We are given the area of a square as 225 square units
Therefore; since the area of a square is given as s², where s is the side of the square.
Then; s² = 225
s = √ 225
= 15 units
But Perimeter of a square is given by; 4 × s
Thus; Perimeter = 4 × 15 units
= 60 units
Keywords; Perimeter, Area
Level: Middle school
Subject; Mathematics
Topic: Area and Perimeter
nice job, and receiving a paycheck for doing something you enjoy is great. The job requires 30 hours per
week and pays $240 per week. A check is issued every two weeks.
Alvin's first paycheck is much lower than the expected $480. The pay stub showed the following payroll
deductions: $29.76 for Social Security tax, $6.96 for Medicare tax, 62.10 for federal withholding tax, and
28.80 for state income tax. It is disappointing to receive only $352.38 and have taxes deducted. No
matter the disappointment, it is still a good opportunity to gain job experience
Case Review
1. Do these figures surprise you? What has been your experience with payroll deductions?
2. Do you think it is fair to have to pay $127.62 in taxes every two weeks? Why or why not?
3. What benefits does a worker receive from the money that went to taxes? Does Alvin receive any direct
benefits?
4. What information from the pay stub will be important when an income tax return is filed?
- 11x + 32.5 < 82
Answer:
x>-4.5
Step-by-step explanation:
- 11x + 32.5 < 82
Subtract 32.5 from each side
- 11x + 32.5-32.5 < 82-32.5
- 11x < 49.5
Divide each side by -11. remembering to flip the inequality since we are dividing by a negative
-11x/-11 > 49.5/-11
x>-4.5
1/3x - y = 0
3x - y = 0
x - 1/3y = 0
Answer: The required discriminant of the given quadratic equation is 8.
Step-by-step explanation: We are given to find the discriminant of the following quadratic equation :
We know that
the discriminant of a quadratic equation of the form is given by
In the given quadratic equation, we have
a = -1, b = 4 and c = -2.
Therefore, the discriminant of the given quadratic equation is
Thus, the required discriminant of the given quadratic equation is 8.