Answer:
A
Step-by-step explanation:
To construct the perpendicular bisector, follow these steps:
Step 1:
Set the compass to a distance greater than half the length of segment AB, place it on point A, and draw an arc across AB.
Step 2:
Keeping the same width, place the compass on point B and create another arc across AB.
Step 3:
With the ruler, connect the two intersection points of the arcs by drawing a line.
Step 4:
This line will be the perpendicular bisector of the segment AB.
Thus, option A is the correct choice.
Answer:
50 years
Detailed breakdown:
Applying the simple interest formula:
PRT/100
Where P is the principal amount ($5000)
R represents the interest rate (4)
T signifies the time (x- unknown)
The total amount after time T is double the initial investment = 5000 * 2 = 10000
(5000 * 4 * x) / 100 = 10000
20000x / 100 = 10000
20000x = 100 * 10000
20000x = 1,000,000
x = 1,000,000 / 20,000
x = 50
It will require 50 years
The tension does not approach infinity.
<span>Let's analyze free body diagrams (FBDs) for each mass, considering the direction of motion of m₁ as positive.
For m₁: m₁*g - T = m₁*a
For m₂: T - m₂*g = m₂*a
Assuming a massless cord and pulley without friction, the accelerations are the same.
From the second equation: a = (T - m₂*g) / m₂
Substitute into the first:
m₁*g - T = m₁ * [(T - m₂*g) / m₂]
Rearranging:
m₁*g - T = (m₁*T)/m₂ - m₁*g
2*m₁*g = T * (1 + m₁/m₂)
2*m₁*m₂*g = T * (m₂ + m₁)
T = (2*m₁*m₂*g) / (m₂ + m₁)
Taking the limit as m₁ approaches infinity:
T = 2*m₂*g
This aligns with intuition since the greatest acceleration m₁ can have is -g. The cord then accelerates m₂ upward at g while gravity acts downward, leading to a maximum upward acceleration of 2*g for m₁.</span>
Answer:
The sales figure for the third year is ![[\frac{32\ \text{mn}-x\ \text{mn}}{x\ \text{mn}}\times 100\%]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B32%5C%20%5Ctext%7Bmn%7D-x%5C%20%5Ctext%7Bmn%7D%7D%7Bx%5C%20%5Ctext%7Bmn%7D%7D%5Ctimes%20100%5C%25%5D)
.
Step-by-step explanation:
Since sales data for the second year is unavailable, we denote it as x million.
Year 3's total sales amount to 32 million.
Calculate the sales account for year 3 as follows:
