How many sides angles and vertices does a rectangular prism have?

Answers

Answer 1

Answer: Rectangular prisms have 6 sides, 8 vertices, and 12 edges

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Which of the following is an arithmetic sequence?2, 4, 8, 16,...
12, 4, 4/3, 16/3...
1/2, -1/2, -3/2, -5/2 ...
1/2, -1/2, 1/2, -1/2 ...

Answers

Answer:

The third sequence.

Step-by-step explanation:

In an arithmetic sequence, the difference between two consecutive terms is the same.

For each option, find the difference between consecutive terms:

First option:

$4 - 2 = 2$ .
$8 - 4 = 4$ .
$16 - 8 = 8$ .

The differences are not the same. As a result, this option is not an arithmetic sequence.

Second option:

$4 - 12 = -8$ .
$\displaystyle (4)/(3) - 4 = -(8)/(3)$ .
$\displaystyle (16)/(3) - (4)/(3) = (12)/(3) = 4$ .

The differences are not the same. As a result, this option is not an arithmetic sequence, either.

Third option:

$\displaystyle -(1)/(2) - (1)/(2) = -1$ .
$\displaystyle -(3)/(2) - \left(-(1)/(2)\right) = -(3)/(2) + (1)/(2) = -1$ .
$\displaystyle -(5)/(2) - \left(-(3)/(2)\right) = -(5)/(2) + (3)/(2) = -1$ .

The differences are all $-1$ . As a result, this option is indeed an arithmetic sequence. Its common difference is $(-1)$ .

Fourth option:

$\displaystyle -(1)/(2) - (1)/(2) = -1$ .
$\displaystyle (1)/(2) - \left(-(1)/(2)\right) = (1)/(2) + (1)/(2) = 1$ .
$\displaystyle -(1)/(2)\right - (1)/(2) = -1$ .

The differences are varying between $1$ and $-1$ . As a result, this option is not an arithmetic sequence.

Answer: Number 3. (1/2, -1/2, -3/2, -5/2 ...)

Step-by-step explanation:

1/2 - 1 = -1/2. -1/2 - 1 = -3/2. Etc.

Do political maps have legends and scales? and what is something interesting about them?

Answers

Yes, Political maps have scales and legends. All maps should. Something interesting is that you don't see mountains but just what the country/state is and cities!

How do you find the answer of -22-x=5+6x+9???

Answers

-22-x=5+6x+9
-6x-x=22+5+9
-7x=36
x=5.142

The perimeter of a circle is called

Answers

The perimeter of a circle is called the Circumference.

The formula for finding the circumference is 2r $\pi$

Or the diameter times 3.14159...

the perimeter of a circle is called the circumference

i hope i helped

The six faces of a fair cube are numbered 1 through 6. If the cube is rolled 300 times, what is the expected number of times a 5 will land face-up?

Answers

50 times because i know

What is 1.625 rounded to the nearest hundredth??!A. 1.62
B. 1.63
C. 1.602
D. 1.603

Answers

its B because the 2 is in the hundredths place and then you look behind the 2 which is a 5. If its five or more you go up and 4 or less you go down. Which means that you add one to the 2 which is 3 and you get rid of anything behind the 3 that was the originally .

1.625 rounded to the nearesthundredth is 1.63.

Option B is the correct answer.

We have,

In this case, we look at the digit in the thousandth place (the third decimal place). If that digit is 5 or greater, we round up the digit in the hundredth place (the second decimal place). If it is less than 5, we leave the digit in the hundredth place as it is.

Now,

When rounding to the nearesthundredth, we look at the digit in the thousandth place, which is 5 in this case.

Since 5 is greater than or equal to 5 (half of 10), we round up the digit in the hundredth place, which is 2.

Therefore,

1.625 rounded to the nearesthundredth is 1.63.

Learn more about expressions here:

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