Zac wants to lay new carpet in the entrance and hallway of his house as shown below.

Answer:

a) The distance covered halfway = 16.49 [m], while the displacement at that point = 10.5 [m]b)

The distance traveled increases

when the child finishes one lap around the track.

Step-by-step explanation:

a)

Distance is a scalar measurement

that indicates how much ground an object has traversed in motion. Contrarily, displacement is a vector measurement which describes how far an object is from its original position after moving.

In this scenario, the child travels halfway around the circular track from point 1 to point 2. We know that the circumference or perimeter of a circle can be calculated as 2*PI*radius. Since the child only covers half the distance, we need to divide the circumference by 2, leading to distance = PI*radius

The halfway distance = (PI)*(5.25) = 16.49 [m]

Considering the definition of displacement, it’s clear that the distance from point 1 to point 2 equals one diameter from the starting point:

The halfway displacement = D = 2*radius = 2(5.25) = 10.5 [m]

b) What occurs to the distance after the child completes one full circuit? The distance will increase since the child covers more ground during the full lap:

• The distance for one circuit = 2*(PI)*radius = 2(PI)(5.25) = 32.99 [m]

32.99 is greater than 16.49, confirming that the distance does indeed increase.

137 paquetes de vasos, aunque el último solo tiene 7 vasos, es necesario para asegurar que no queden sin empacar.

Total amount = $8.00; 30% of this total is 0.3 * $8.00 = $2.40. There are twenty 5-cent coins in 1 dollar; therefore, the quantity of 5-cent coins in $2.40 is calculated as 2.40 * 20 = 48. Answer: 48.

The problem's sample space consists of a selection of roses and hibiscus in various colors, totaling 315 flowers. Among these, 20 are pink roses, making the probability of selecting a pink rose 20/315, or approximately 0.063.

Answer:

Base Charge = $7

Additional Fees = $7

Step-by-step explanation:

Let x represent the base charge and y for the additional fees.

For a job that lasts 5 hours, we obtain:

For the 3-hour task

Finding x and y;

Deduct the second equation from the first

Calculate y

Replace 7 with y in the first equation