<h3>
Answer: 3.1691, 5.8, 5.802, 5.82</h3>
Explanation:
The smallest item is 3.1691 which is listed first. This is because 3 is smaller than 5.
Now to sort the values that start with 5.
Think of 5.82 as 5.820; think of 5.8 as 5.800
We can see that 820 is larger than 800, which means 5.820 is larger than 5.800; in short, 5.82 > 5.8
Through similar logic, we can see that 5.82 > 5.802 and it further means 5.82 is the largest item. The next largest is 5.802
The sub-list {5.802, 5.82, 5.8} sorts to {5.8, 5.802, 5.82}. These values are then written after the 3.1691 mentioned. This will produce the fully sorted list from smallest to largest.
Answer: The equation for line b is 
The equation for line t is 
The attachment shows the original line in green, the parallel line b in red, and the perpendicular line t in blue.
Step-by-step explanation: Use slope intercept form, y = mx + b
The given coordinate, (0,5) is on the y-axis, so 5 will be the y-intercept of the equation. Keep the slope of the original equation and substitute the new value for "b"
To write the equation for line t
Both lines share the y-intercept, (0,5) so the "b" term will be the same. The slope of a perpendicular line is the reciprocal of the original slope with the opposite sign.
So invert 3/4 to become 4/3 and change the negative sign to positive.
The resulting equation is y = 4x/3 + 5
-12(-3) + 7
First, simplify 12 × (-3) to get -36. / Your problem should look like:
Second, add 36 + 7. / Your problem should look like: 43
Answer:
43
Answer:
See explanation
Step-by-step explanation:
Find the diagonal of the square. The side of the square is 5 cm long. By the Pythagorean theorem,

If the square (being inside the circle) touches the circle, then the diagonal of the square is exactly the diameter of the circle. The diameter of the circle is twice the radius of the circle, so

Since the diagonal is shorter than the diameter, the square can fit into the circle without touching the circle.