There is a mound of g pounds of gravel in a quarry. Throughout the day, 400 pounds of gravel are added to the mound. Two orders

To determine the lateral area of the pentagonal prism illustrated in the figure, we begin the calculation.

According to the definition:

Where:

: Represents the lateral area

: Refers to the perimeter of the base

h: Denotes the height

By substituting the known values:

Result:

Answer:

Her age is 40 years

Step-by-step explanation:

Let Jerry's age be represented as j

Let Marjorie's age be denoted as m

The first part of the question states:

j = 4 + m/2

For the second equation:

m = 3j - 32

Multiply the first equation by 2 to get:

2j = 8 + m

Leading to m = 2j - 8

Set both equations for m equal to each other:

2j - 8 = 3j - 32

By simplifying, we get:

3j - 2j = 32 - 8

Therefore, j = 24

Now substituting back:

m = 2j - 8

m = 2(24) - 8

Thus, m = 48 - 8

Final result: m = 40

Answer:

46 units

Step-by-step explanation:

The diagonals of a rectangle intersect at their midpoints, indicating AE = EC. Therefore, set the equations equal and solve for x:

6x - 55 = 3x - 16

3x = 39

x = 13

Additionally, another characteristic of rectangle diagonals is their equal lengths, hence AC = DB. Now, let’s assess the length of AC:

AC = AE + EC = (6 * 13 - 55) + (3 * 13 - 16) = 23 + 23 = 46

Since AC = DB, it follows that DB = 46 units.

I hope this clarifies your question!

In a two-tailed test where the p-value stands at 0.0275, it indicates that with a threshold of 0.025, we should dismiss the hypothesis asserting equal proportion. This conclusion follows from p = 0.0275 in line with the guideline P-value < p.

36 divided by 6
which results in 6
then multiply 6 x 5
which gives 30

your final answer is: 30

*HOPE I HELPED!*