The equation that could John solve to find w, the greatest width in centimeters he can use for the mosaic is option B: w(w + 2) = 48.
<h3>What is a system of equations?</h3>
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The mosaic to be formed is rectangular in shape.
Area of a rectangle = length x width
The length is longer than the width by 2,
So, length = w+2
Area of a rectangle = (w+2) x w
The correct equation is B: w(w + 2) = 48
Learn more about equations here;
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First, you have to apply the Pythagorean Theorem to this problem to solve for the hypotenuse.
22^2 + 15^2 = c^2
"C", which is the hypotenuse, is approximately 26.63 inches long. So, now add all the sides, and you should have 63.63 inches as your final answer.
Pentagon is a five-sided polygon.The sum of interior angles of a pentagon is 540 degrees. A regular pentagon can be subdivided into 5 triangles. The triangles formed are equilateral triangle, when you get the area of each triangle and multiply it by 5 you will get the area of the polygon.The answer is True
Hello from MrBillDoesMath!
Answer:
See the Discussion section below.
Discussion:
Study this pattern:
f(1) = 48
f(2) = 2.5 * 48
f(3) = 2.5 f(2) = 2.5 * ( 2.5 * 48 ) = 2.5^2 * 48
f(4) = 2.5 * f(3) = 2.5 * (2.5^2 * 48) = 2.5^3 * 48
so generally.....
f(n) = 2.5^(n-1) * 48, n >=1
Therefore
f(4) = 2.5^3 * 48 = 750
f(5) = 2.5^4 * 48 = 1875
f(6) = 2.5^5 * 48 = 4687.5
f(10) = 2.5^9 * 48 = 183105.46875 which is 183105.47 to the nearest hundredth
Thank you,
MrB
