Using the general form of complex numbers a+bi,what are the values of a and b for the number 8?

Answers

Answer 1

Answer:

8 = a + bi

Answer: a=8, b=0

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Answers

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A box is shaped like an octagonal prism. Here is what the base of the prism looks like. If the height of the box is 7 inches, the volume of the box will be [1] cubic inches.

Answers

Answer:

The volume of the box is 33.796 cubic inches

Step-by-step explanation:

Given

$Height = 7in$

See attachment for the base of the prism

Required

The volume of the box

From the attachment, we have:

$a = 1in$ -- side length of the octagon

The area is then calculated as:

$Area = 2 * (1 + \sqrt 2)a^2$

So, we have:

$Area = 2 * (1 + \sqrt 2)* 1^2$

$Area = 2 * (1 + \sqrt 2)* 1$

$Area = 2 * (1 + \sqrt 2)$

Evaluate the square root

$Area = 2 * (1 + 1.414)$

$Area = 2 * (2.414)$

$Area = 4.828$

The volume is then calculated as:

$Volume = Height * Base\ Area$

$Volume = 7 * 4.828$

$Volume = 33.796$

The volume of the box is 100 cubic inches.

To find the volume of an octagonal prism, we need to know the area of the base and the height of the prism.

The area of an octagon can be calculated using the following formula:

Area of octagon = 1/2 * apothem * perimeter

where the apothem is the distance from the center of the octagon to one of its sides and the perimeter is the total length of all the sides of the octagon.

In this case, we don't know the apothem or the perimeter of the octagon, so we can't calculate the area of the base using the formula above. However, we can estimate the area of the base by drawing a square inside the octagon and a circle inside the square.

The square will have an area of 16 square inches and the circle will have an area of about 12.5 square inches. Therefore, the area of the octagon is somewhere between 12.5 and 16 square inches.

Since we are estimating the area of the base, we will use the average of 12.5 and 16 square inches, which is 14.25 square inches.

The volume of the box is calculated as follows:

Volume of box = Area of base * Height

Volume of box = 14.25 square inches * 7 inches = 100 cubic inches

Therefore, the volume of the box is 100 cubic inches.

For such more question on volume:

brainly.com/question/463363

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if you earn $8 per hour after taxes are taken out of your paycheck and your insurance is $200 a month, how many hours will you have to work to pay for insurance?