MATHEMATICS MIDDLE SCHOOL

A right prism has a base in the shape of an octagon. The side length of the octagon is 4 inches. The length of theapothem is 4.83 inches. The height of the prism is 12 inches. What is the volume of the prism? Round your answer
to the nearest whole number
cubic inches

Answers

Answer 1

Answer:

The volume of the prism with octagon base is 927.058 in³

How to calculate volume?

Volume is the amount of space occupied by a three dimensional shape or object.

The area of the octagon = 2(1 + √2) * side² = 2(1 + √2) * 4² = 77.25 in²

The volume of the prism = area of base * height = 77.25 in² * 12 in = 927.058 in³

The volume of the prism with octagon base is 927.058 in³

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Answer 2

Answer:

Answer:

927 cubic inches

Step-by-step explanation:

Related Questions

Evaluate the expressions 3x-2 and 4x+4 for the following value of x.

Answers

Question:

Evaluate the expressions 3x - 2 and 4x + 4 for the following values of x. When you have found the value for each expression, write a statement using <, >, or = that shows how the two values are related. a. x = 0 b. x = -6 c. x = 5 d. x = -2

Answer:

Part a: $4x+4>3x-2$

Part b: $4x+4=3x-2$

Part c: $4x+4>3x-2$

Part d: $4x+4>3x-2$

Explanation:

Part a: Substituting $x=0$ , we get,

$\begin{aligned}3 x-2 &=3(0)-2 \n&=-2\end{aligned}$

$\begin{aligned}4 x+4 &=4(0)+4 \n&=4\end{aligned}$

The value of $3x-2$ is less than $4x+4$

Thus, $4x+4>3x-2$

Part b: Substituting $x=-6$ , we get,

$\begin{aligned}3 x-2 &=3(-6)-2 \n&=-18-2 \n&=-20\end{aligned}$

$\begin{aligned}4 x+4 &=4(-6)+4 \n&=-24+4 \n&=-20\end{aligned}$

The value of $3x-2$ and $4x+4$ are equal.

Thus, $4x+4=3x-2$

Part c: Substituting $x=5$ , we get,

$\begin{aligned}3 x-2 &=3(5)-2 \n&=15-2 \n&=13\end{aligned}$

$\begin{aligned}4 x+4 &=4(5)+4 \n&=20+4 \n&=24\end{aligned}$

The value of $3x-2$ is less than $4x+4$

Thus, $4x+4>3x-2$

Part d: Substituting $x=-2$ , we get,

$\begin{aligned}3 x-2 &=3(-2)-2 \n&=-6-2 \n&=-8\end{aligned}$

$\begin{aligned}4 x+4 &=4(-2)+4 \n&=-8+4 \n&=-4\end{aligned}$

The value of $3x-2$ is less than $4x+4$

Thus, $4x+4>3x-2$

What is 30/7 as a whole number

Answers

It can only be written as a mixed number (4 and 2/7) or a decimal (4.2857. . .), not a whole number.

Final answer:

The fraction 30/7 approximates to 4.28, which isn't a whole number. However, rounding down to the nearest whole gives us 4. Hence, 30/7 as a whole number is 4.

Explanation:

The question is asking to express the fraction 30/7 as a whole number. To accomplish this, you would divide the numerator (30) by the denominator (7). The result of that operation is approximately 4.28, which isn't a whole number. But if we need to present it as a whole number, we round down to the nearest whole number. So, 30/7 as a whole number is 4. Just remember that 30 is not perfectly divisible by 7, therefore rounding is required for a whole number representation.

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Which two numbers add up to 8 and multiply to negative 9?

Answers

facotr -9
add factors
-1+9=8
correct

How many solutions are there for 10(x + 4) – 3 = 14x + 1

Answers

Answer:

X=9

Step-by-step explanation:

Open the bracket first

10(x+4)-3=14x+1

10x+40-3=14x+1

Let's collect like terms

10x-14x=1-40+3

-4x=-36

Let's make x the subject of formula by dividing both sides by-4

X=9

Therefore the final answer for x is 9

10(x+4)-3=14x+1
10(4x)-3=14x+1
40x-3=14x+1
37x=14x+1
37x=15x
X=2.5
Or your answer will be 37x=15x

Express 5.37 as a mixed number

Answers

The mixed number will be of form 5 37/100 .

Given,

Decimal number = 5.37

Here,

To turn a decimal into a mixed number we write the number in front of the decimal point.

We look at the numerator and the denominator and make the decimal a mixed number.

In this case, we have the number 5.37 .

Thus first convert the number into simple fraction,

Divide the number by 100.

Fraction form = 537/100

Now,

To convert the number into mixed form,

separate the whole number and decimal form to get the mixed number .

Whole number = 5

Decimal number = 0.37

Mixed form = 5 37/100

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Hi there, to turn a decimal into a mixed number we write the number in front of the decimal point. Then, we look at the fraction part which is the part after the decimal. We look at the numerator and the denominator and make the decimal a mixed number. In this case, we have the number 5, like I said, we write the number in front of the decimal point which is 5. We have the number 37, 37 is going to be the numerator and the denominator is going to be 100. Now, we have 537/100, but you asked what is 5.37 as a mixed number is 5 37/100.

WILL GIVE BRAINLIEST ANSWER! Given the parent function f(x)=|x|, which equation would occur if the function is vertically compressed by 13, shifted down 6 units, and shifted right 5?

f(x)=3|x+5|−6

f(x)=13|x−5|−6

f(x)=13|x+5|−6

f(x)=13|x−6|+5