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Taya2010 [7]
2 years ago
14

The length of each side of a square is 3 in. more than the length of each side of a smaller square. The sum of the areas of the

squares is 425 in^2. Find the lengths of the sides of the two squares.
Mathematics
1 answer:
dolphi86 [110]2 years ago
6 0

Answer:

Step-by-step explanation:

let the smaller square be A, and the side is a

larger square is B, the side is a+3

Area(A)=a^2

Area(B)=(a+3)^2

a^2+(a+3)^2=425 in^2

a^2+a^2+6a+9=425

2a^2+6a=425-9

2(a^2+3a)=416 we divide by 2

a^2+3a=208

we solve the quadratic function

we will get two roots, a(1)=13, and the negative answer we will ignore

a=13 and the side of the larger square is 13+3=16

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429 is 4 hundreds 29
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Answer: yes

Step-by-step explanation: because that how many times it could go in too it

3 0
3 years ago
Read 2 more answers
Can someone pls help me! Pretty sure my teacher hates me, and she won’t help me with these!
9966 [12]

Answer:

5. 43.98 (if not rounding pi, if rounding pi it is 43.96)

6. 201.06 (if not rounding pi, if rounding pi it is 200.96)

7. 72.8

8. 84

9. 3.6

10. 140

11. C

12. 12.6

Step-by-step explanation:

5. C=2*pi*r

6. A=pi*r^2

7. angles in triangle must add up to 180

8. A=bh

9. radius is half of diameter

10. A=(hb)b/2

11. A=pi*r^2

12. radius is 1/2 of diameter

4 0
3 years ago
The quotient of n and 12 subtracted from 100?
Korvikt [17]

Answer:

100 - 12/n

Step-by-step explanation:

quotient means division so

12/n

and subtracted from means say x - 12/n so

100 - 12/n

If you're looking to evaluate it then it would be

4(25n - 3) / n

5 0
3 years ago
Question: You can work 40 hours per pay period while attending school earning $12.50 an hour. There are two pay periods per mont
77julia77 [94]

1) Based on the information, the following taxation calculations can be made:

a) Gross Pay per pay period: $500

b) Taxable Income per pay period: $425

c) Since you pay 11% in federal taxes, the Federal tax withholding per pay period is <u>$46.75</u>.

2) The State tax withholding per pay period is <u>$20</u>.

3) The calculation of FICA, Medicare, and the Net Pay per pay period is as follows:

FICA withholding per pay period: $25.50

Medicare withholding per pay period: $6.16

Net Pay per pay period = $326.59

<h3>Data and Calculations:</h3>

Total hours worked per pay period = 40 hours

Rate per hour = $12.50

Pay periods per month = 2

Gross pay per pay period = $500 (40 x $12.50)

<h3>Deductions per pay period:</h3>

Health care = $25

401K deduction = $50

Total deductions per pay period = $75

Taxable income per pay period = $425 ($500 - $75)

Federal taxes = 11%

Federal tax withholding per pay period: $46.75 ($425 x 11%)

Annual taxable income = $10,200 ($425 x 24)

State withholding tax (annual) = $480 {$120 + ($10,200 - $5,000) x 5%}

State withholding tax per pay period = $20 ($480/24)

FICA withholding per pay period: $25.50 ($425 x 6.2%)

Medicare withholding per pay period: $6.16 ($425 x 1.45%)

<h3>Net Pay per pay period:</h3>

Gross Pay $500

Total deductions $75

Taxable income = $425

Federal Withholding = $46.75

State Withholding = $20

]FICA Withholding = $25.50

Medicare Withholding = $6.16

Net Pay per pay period = $326.59

Learn more about computing the net pay at brainly.com/question/15858747

#SPJ1

6 0
2 years ago
What is the length of segment AC?
harkovskaia [24]

Answer: 10

Step-by-step explanation:

see attached picture

8 0
3 years ago
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