A manager associated each employee's name with a number on one ball in a container, then drew balls without looking to select a

Given:
Two identical parallelograms total area = 9 1/3 yd²
Each parallelogram has height 1 1/3 yd

Area formula: area = base × height

Split the total area equally to find each parallelogram's area.

Convert 9 1/3: (9*3)+1 = 28/3

Divide by 2: 28/3 × 1/2 = 28/6 yd², which is 4 4/6 yd² → 4 2/3 yd²

So each parallelogram's area is 4 2/3 yd²

Set up base × 1 1/3 yd = 4 2/3 yd²

Convert and divide: 14/3 yd² ÷ 4/3 yd = base

Multiply: 14/3 × 3/4 = base
Compute: 14*3 / 3*4 = base
42 / 12 = base
Which simplifies to 3 6/12 yd = base
or 3 1/2 yd = base

a) Each parallelogram has a base of 3 1/2 yards
b) If the two parallelograms form a rectangle:
Rectangle area = length × width

Length = 3 1/2 yd × 2 = 7 yds
Width = 3 1/2 yds

Area = 7 yd × 3 1/2 yd
Area = 7 × 7/2 yd²
Area = 7*7 / 2 yd²
Area = 49 / 2 yd²
Area = 24 1/2 yd²

Answer:

Two thirds of a straight angle is 120°

Explanation:

First, we define a straight angle:

A straight angle measures 180°

Now, we need to find two thirds of that straight angle

To compute the fraction, multiply the straight angle's measurement by

Thus:

of a straight angle = degrees

Hope this helps:)

Answer:

Step-by-step explanation:

There are 15 antennas in total.

Out of these, 3 are defective.

This means that 12 antennas are functioning: 15-3=12.

To ensure that no two defective antennas are adjacent, we need to have only one defective at a time placed between the functional ones.

So,

We align the 13 functional antennas, then look for the spaces where the defective antennas can fit

__G __ G __ G __ G __ G __G __ G __ G __ G __ G __ G __ G __G __

Each gap represented by an underscore indicates a possible location for a defective antenna, allowing for just one per space.

Consequently, there are 14 potential spots for the defective antennas. With 3 defectives, we are dealing with a combinatorial arrangement.

ⁿCr= n!/(n-r)!r!

The total number of arrangements possible is

14C3=14!/(14-3)!3!

14C3=14×13×12×11!/11!×3×2

14C3=14×13×12/6

That gives us 364 distinct ways to arrange them.

Answer:

Circle diameter = 1.6 Cm

Detailed explanation:

Information provided:

Distance from the first to the third coin = 3.2 cm

Question to solve:

What is the diameter of each coin?​

Calculations:

Total number of circles = 3

According to the diagram, the space between the first and third coins measures 3.2 cm.

Thus,

Space = radius of the 1st circle + diameter of the 2nd circle + radius of the 3rd circle

Space = radius of the 1st circle + 2 (radius) + radius of the 3rd circle

Space = R + 2R + R

3.2 Cm = 4 R

Radius = 0.8 Cm

Diameter = 2 × radius

Diameter = 2 × 0.8

Diameter = 1.6 Cm