Answer:
a rectangle is twice as long as it is wide . if both its dimensions are increased 4 m , its area is increaed by 88 m squared make a sketch and find its original dimensions of the original rectangle
Step-by-step explanation:
Let l = the original length of the original rectangle
Let w = the original width of the original rectangle
From the description of the problem, we can construct the following two equations
l=2*w (Equation #1)
(l+4)*(w+4)=l*w+88 (Equation #2)
Substitute equation #1 into equation #2
(2w+4)*(w+4)=(2w*w)+88
2w^2+4w+8w+16=2w^2+88
collect like terms on the same side of the equation
2w^2+2w^2 +12w+16-88=0
4w^2+12w-72=0
Since 4 is afactor of each term, divide both sides of the equation by 4
w^2+3w-18=0
The quadratic equation can be factored into (w+6)*(w-3)=0
Therefore w=-6 or w=3
w=-6 can be rejected because the length of a rectangle can't be negative so
w=3 and from equation #1 l=2*w=2*3=6
I hope that this helps. The difficult part of the problem probably was to construct equation #1 and to factor the equation after performing all of the arithmetic operations.
<span>A. 45:6 = 15:2
B. 54:36 = 3:2
C. 12:8:16 = 3:2:4</span>
Answer:
Surface area of a square prism = 4 × (s × h) = 4sh, where, s is the length of the side of the square and h is the height of the square prism.
Answer:
1416.71
Step-by-step explanation:
Total Pay= 1843.45
Deductions
Fica = 7.65% of 1843.45 = 141.02
With holding = 9 % of 1843.45 = 165.9
state withholding =6.5 % of 1843.45 = 119.82
total deductions = 141.02 + 165.9 + 119.82
=426.74
Remaining money= 1843.45-426.74
= 1416.71
Answer: The term 0.040(30h) represents the amount of tax she must pay.
Explanation:
The functin 0.04(30h) + 30h, has two terms; the second term, 30h, represents cost due to h hours at at unit of 30, and the first term 0.04(30h) is the additional amount due to the taxes over h hours at the unit rate of 30.
When you add a tax rate of 4% to 30h, you get the the amount of taxes over the 30h.
The calcualtion is: (4/100)×(30h) = 0.04(30h). Hence, you conclude that 0.04(30h) is the amount of tax she must pay.
