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.
Answer:
x ≈ 8.39
Step-by-step explanation:
You'd have to use the tangent ratio in order to solve for x.
tangent ratio = opposite/adjacent
tan 50° = 10/x
x = 10/tan 50°
x = 8.39099631177
≈ 8.39
Answer:
$154,750 ~ APEX
Step-by-step explanation:
so basically ummmmmm well I guessed and got it right so hope this helps
The total cost will be $135.
12 times 8 is 96 ft
Convert 96 ft to inches is 1,152
Divide 1,152 by 16 is 72
72 divided by 8 is equal to 9
9 times 15 equals $135
First term a1=10 & r=0.5 & n=4
The formula to find the term =a(n) = a(1)*(r)^(n-1)
a(4th)=10*(0.5)^3 =1.25
proof:
a1=10
a2=10*0.5=5
a3= 5*0.5 = 2.5
a4= 2.5*0.5=1.25
