Answer:
(√2)/2
Step-by-step explanation:
The ratio of the radius of the circle to the side of the inscribed square is the same regardless of the size of the objects.
The radius of the circle is half the length of the diagonal of the square. For simplicity, we can call the side of the square 1, so its diagonal is √(1²+1²) = √2 by the Pythagorean theorem. The radius is half that value, so is (√2)/2. The desired ratio is this value divided by 1.
Scaling up our unit square to one with a side length of 3 inches, we have ...
radius/side = ((3√2)/2) / 3 = (√2)/2
_____
A square with a side length of 3 inches will have an area of (3 in)² = 9 in².
The coordinates of A'and B'when AB is reflected in the y-axis are; (-2,5) and (-6,3).
<h3>What are the coordinates of A'and B'when AB is reflected in the y-axis?</h3>
According to the task content, it follows that the reflected points A' and B's coordinates are required.
From the graph, the coordinates of A= (2,5) and B= (6,3).
On this note, the coordinates of A' and B' upon reflection over the y-axis is; (-2,5) and (-6,3) respectively.
Read more on line reflection;
brainly.com/question/14062035
#SPJ1
Solving the algebraic equations given, the missing numbers in the boxes can be known as shown in the steps below.
Given the equation, ⅔(x - 1) = ⅕(2x - 3) + 1
First, apply the distribution property to open the bracket.
Thus:
⅔x - ⅔ = ⅖x - ⅗ + 1
⅔x - ⅔ = ⅖x + ⅖
- Subtract ⅖x from both sides
⅔x - ⅖x - ⅔ = ⅖
4/15x - ⅔ = ⅖
4/15x = ⅖ + ⅔
4/15x = 16/15
- Multiply both sides by 15/4
x = 16/15 × 15/4
x = 4
Given the equation, 3c - 3 + 2(3c + 1) = - (3c + 1)
- Open the bracket using distributive property
3c - 3 + 6c + 2 = -3c - 1
9c - 1 = -3c - 1
9c + 3c - 1 = -1
12c - 1 = -1
12c = -1 + 1
12c = 0
c = 0
Learn more about algebraic equations on:
brainly.com/question/7784687
Answer:
Gabriel Mouton was a church vicar who lived in Lyons, France, who is considered to be the creator of the metric stystem. he created it in 1970
Step-by-step explanation:
Answer:
51
Step-by-step explanation:
