W= width L= length = 2W
Area of Rectangle= Length * Widthsubstitute the area and the value of L in the formula
28,800 m^2= 2W * W
28,800= 2W^2divide both sides by 2 in an effort to isolate the variable w
14,400= W^2take the square root of both sides
√14,400= W^2
we want the negative and positive root of the radicand (the number under the radical symbol - 14,400 in this case)
120= w OR -120= w
LENGTHL= 2W= 2(120)= 240 meters
ANSWER: The side lengths are W= 120 m; L= 240 m. Even though W= -120 too, it is not a valid solution in this case since a field cannot have a negative value.
Hope this helps! :)
Answer:
2.68
Step-by-step explanation:
5 - 2.32
can be written as
5.00 - 2.32
so write that in verticle format and solve using carry-over subtraction
5.00
- 2.32
______
2.68
The amount of the loan after 11 years is $34,113.53 and the intereest earned is $4,113.53
<h3>How to calculate the compound interest</h3>
The formula for calculating the exponential function is expressed as:
Given the following
- P = 30,000
- r = 0.047
- t = 11 years
- n = 4
Substitute into the formula to have:
Hence the amount of the loan after 11 years is $34,113.53
<h3>
Find the interest earned</h3>
Interest = A - P
Interest = 34,113.53 - 30000
Interest = 4,113.53
Hence the intereest earned is $4,113.53
Learn more on compound interest here: brainly.com/question/24924853
3+1/x *x = 7/x*x
3x+1 = 7
3x+1-1=7-1
3x=6
3x/3 =6/3
x =2
(3 cos x-4 sin x)+(3sin x+4 cos x)=5
(3cos x+4cos x)+(-4sin x+3 sin x)=5
7 cos x-sin x=5
7cos x=5+sin x
(7 cos x)²=(5+sinx)²
49 cos²x=25+10 sinx+sin²x
49(1-sin²x)=25+10 sinx+sin²x
49-49sin²x=25+10sinx+sin²x
50 sin² x+10sinx-24=0
Sin x=[-10⁺₋√(100+4800)]/100=(-10⁺₋70)/100
We have two possible solutions:
sinx =(-10-70)/100=-0.8
x=sin⁻¹ (-0.8)=-53.13º (360º-53.13º=306.87)
sinx=(-10+70)/100=0.6
x=sin⁻¹ 0.6=36.87º
The solutions when 0≤x≤360º are: 36.87º and 306.87º.
