The sum of the squares of their ages is; 5x²
<h3>How to Solve Algebraic Word Problems?</h3>
We are told that Maria is twice the age of Miriam.
Now, of the age of Miriam is x, then we can say that;
Age of Mariam = x
Age of Maria = 2x
Now, we want to find the sum of the squares of their ages. Thus, this is expressed as;
x² + (2x)²
= x² + 4x²
= 5x²
Read more about Algebraic Word Problems at; brainly.com/question/13818690
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The complete question is;
Express in algebraic language: the sum of the squares of the ages of Maria and Miriam, if it is known that Maria is twice the age of Miriam.
Answer:
<em>Volume: Option A - Around 85.33 (in^3)</em>
Step-by-step explanation:
Let us take a look at the problem. Here we are given the circumference of the bowling ball, provided it is in the shape of a sphere.
Our first step can be to note the formula of circumference, applicable to both a sphere and a circle:
C = 2 * π * r - Where r = radius
Now let us substitute the known value of the circumference as to solve for r, or the radius:
(8π) = 2πr
r = 8π/2π
r = 4
Now take a look at the spherical formula for volume of a sphere:
V = 4/3 * π * r^3 - Where r is yet again the radius
Let us substitute the known value of the radius as to solve for the volume, or in other words to solve for the answer:
V = 4/3 * π * (4)^3
V = 4/3 * π * 64
V = 256/3 * π
V = (Around) 85.33π (in)^3
*Don't forget the units
20 of the students would be 6th graders, hope that helps!
By using Pythagoreans Theorem: a^2 + b^2 = c^2
