Answer:
Step-by-step explanation: Remove any grouping symbol such as brackets and parentheses by multiplying factors.
Use the exponent rule to remove grouping if the terms are containing exponents.
Combine the like terms by addition or subtraction.
Combine the constants
The angle measure (120°) is the average of the measures of the two arcs (x, 2x). Hence
.. (x +2x)/2 = 120°
.. 3x = 240°
.. x = 80°
Answer: 17.14 ft
<u>Step-by-step explanation:</u>
The area of the flower bed is 60 ft x 80 ft = 4800 ft²
The perimeter of the sidewalk that surrounds the flower bed is:
- 2(60 ft) + 2(80 ft)
- = 120 ft + 160 ft
- = 280 ft
The area of the sidewalk is:
area of sidewalk = area of flower bed
280w = 4800
≈ 17.14
Lets write as an equation the info provided in the problem:
original area = 200*300 = 60000 squared meters
Adding x meters to the length is: 300 + x
Adding x meters to the width is: 200 + x
If the area doubles in size we have: 2*<span>60000
Now writing as a single equation all info:
(300 + x)(200 + x) = 120000
We have to make the operations and solve:
60000 + 300x + 200x + x^2 = </span><span>120000
x^2 + 500x - 60000 = 0
This is a squared trinomial, to solve it we need two numbers that subtracted give us 500 and multiplied -60000:
(x + 600)(x -100) = 0
So there are two solutions, x = -600 and x = 100, we choose the positive one:
x = 100
thererefore the value of x is 100 meters</span>
