Answer:
radius is perpendicular to the chord
The radius of a circle that bisects a chord is perpendicular to that chord.
If a radius of a circle bisects a chord, then it is perpendicular to that chord. By definition, the radius that bisects the chord also bisects the angle at the center of the circle which subtends the chord. This is a direct consequence of a theorem in geometry which states that in a circle, the radius that bisects an angle at the centre is perpendicular to the chord which subtends the angle and bisects the chord itself. This perpendicularity is an important property as it asserts that the bisector of the chord is the shortest path from the circle's center to the chord and it cuts the chord into two equal segments, thus verifying the right angle formed between the radius and the chord.
Solve each proportion 2/8=x/24
Answer:
x = 6
Step-by-step explanation:
First, write the proportion, using a letter to stand for the missing term. We find the cross products by multiplying 8 times x, and 2 times 24. Then divide to find x. Study this step closely, because this is a technique we will use often in algebra. We are trying to get our unknown number, x, on the left side of the equation, all by itself. Since x is multiplied by 8, we can use the "inverse" of multiplying, which is dividing, to get rid of the 8. We can divide both sides of the equation by the same number, without changing the meaning of the equation. When we divide both sides by 8, we find that the x would equal 6.
Hope this helped!
The answer is B) x = 12.
Here are the steps I did. 1. Simplify 2/8 to 1/4 ( 1/4 = x/48)2. Multiply both sides by 48 ( 1/4 x 48 = x)3. Simplify 1/4 x 48 to 48/4 ( 48/4 = x)4. Simplify 48/4 to 12 ( 12 = x)5. Now reverse it ( x = 12)
Expressions, Equations & inequalities Question 1
Solve the inequality
12x + 151 - 19
Answer:
I believe the answer is 12 • (x + 11) .
A rectangle is 8m longer than it is wide. Its perimeter is 56m. Find its length and width.
Write values only.
Answer:
The length is [tex]18\ m[/tex] and the width is [tex]10\ m[/tex]
Step-by-step explanation:
Let
x -----> the length of the rectangle
y -----> the width of the rectangle
we know that
The perimeter of rectangle is equal to
[tex]P=2(x+y)[/tex]
[tex]P=56\ m[/tex]
so
[tex]56=2(x+y)[/tex]
[tex]28=(x+y)[/tex] ------> equation A
[tex]x=y+8[/tex] -----> equation B
Substitute equation B in equation A and solve for y
[tex]28=(y+8+y)[/tex]
[tex]28=2y+8[/tex]
[tex]2y=20[/tex]
[tex]y=10\ m[/tex]
Find the value of x
[tex]x=10+8=18\ m[/tex]
therefore
The length is [tex]18\ m[/tex] and the width is [tex]10\ m[/tex]
Follow the steps for division.
27/6
15p!!what is the percent of change from 86 to 77? round to the nearest percent!
Answer:
10%
Step-by-step explanation:
The difference between 86 and 77 is 9.
Divide 9 by 86
[tex]\frac{9}{86} = .1046511[/tex]
Multiply by 100
[tex].1046511 * 100 = 10.46511[/tex]
Round to the nearest percent
[tex]10.46511 \rightarrow 10 \textrm{ percent}[/tex]
Asphere has a diameter of 14 units. What is the volume of the sphere in cubic units? If a cylinder has the same radius as the sphere and a height of
14 units, what is the volume of the cylinder? Use 3.14 for
A.
The volume of the sphere is about 1,077.02 cubic units, and the
volume of the cylinder is about 718.01 cubic units
The volume of the sphere is about 1,436 03 cubic units, and the
volume of the cylinder is about 2.154 04 cubic units
C.
The volume of the sphere is about 1,436.03 cubic units, and the
volume of the cylinder is about 957 35 cubic units
D
The volume of the sphere is about 1,077 02 cubic units, and the
volume of the cylinder is about 1,615 53 cubic units
if the diameter is 14, then its radius must be half that, or 7.
[tex]\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\ \cline{1-1} r=7 \end{cases}\implies V=\cfrac{4\pi (7)^3}{3}\implies \stackrel{\pi =3.14}{V=1436.03} \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=7\\ h=14 \end{cases}\implies V=\pi (7)^2(14)\implies \stackrel{\pi =3.14}{V=2154.04}[/tex]
Find the axis of symmetry of the graph of the function.
f(x) = 2x^2 - 16x + 27
Answer:
the axis of symmetry is x = 4
Step-by-step explanation:
The three coefficients of the polynomial f(x) = 2x^2 - 16x + 27 are a= 2, b = -16 and c = 27. -b
The formula for the axis of symmetry is x = ------------
2a
-(-16)
which here is x = ------------ = 4
2(2)
The equation of the axis of symmetry is x = 4.
Solve: x + 3 = –x + 7
Answer:
x = 2
Step-by-step explanation:
x+3 = -x + 7
x = -x + 4
(2) = -(2) + 4
2 = 2
Answer:
The correct answer is x = 2.
Step-by-step explanation:
To solve this equation, we must get all of the variables (x's) to one side of the equation and get all of the constant terms (numbers only) to the other side.
Starting with this equation, we are going to add x to both sides of the equation. This will cancel out the -x on the right side of the equation, thereby moving all of the variable x's to the left side of the equation.
x + x + 3 = -x + x + 7
If we simplify by combining like terms, or adding the x's together, we get:
2x + 3 = 7
Next, we should subtract 3 from both sides of the equation in order to move all of the constant terms to the right side of the equation.
2x + 3 -3 = 7 - 3
If we simplify, we get:
2x = 4
Finally, we should divide both sides by 2 in order to get the variable x alone on the left side of the equation, solving it.
x = 2
Therefore, your answer is x = 2.
Hope this helps!
Use the triangle shown on the right to answer the question. According to the law on sines, which of the following statement(s) are true ? Check all that apply
The statements which are true are:
[tex]a\sin B=b\sin A[/tex][tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}[/tex][tex]\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]Step-by-step explanation:In Trigonometry, the Law of Sine relates the length of sides of a triangle to the angle of a triangle.
According to this law if a,b and c are the sides of a triangle and A,B and C respectively are opposite angles to the side.
Hence, we have:
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
i.e. we have:
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}[/tex]
This could also be given by:
[tex]a\sin B=b\sin A[/tex]
[tex]\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
Answer:its all of them
Step-by-step explanation:
e2020
Which is a correct expansion of (3x + 2)(3x2 + 4)?
The correct expansion of (3x + 2)(3x² + 4) will be 9x³ + 12x + 6x² +8.
How to expand the factor?In order to expand any factor, we need to multiply the first term with all two-term with another bracket.
similarly, multiply the second term with all two-term with another bracket.
Since given that (3x + 2)(3x² + 4)
multiply 3x by (3x² + 4)
⇒ 9x³ + 12x
Now multiply 2 with (3x² + 4)
⇒ 6x² +8
By adding these two we get 9x³ + 12x + 6x² +8 which is the correct expansion of the (3x + 2)(3x² + 4).
Learn more about the expansion of factors.
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Final answer:
The correct expansion of the expression (3x + 2)(3x² + 4) is found by multiplying each term of the first binomial by each term of the second polynomial, resulting in the expanded form 9x³ + 12x + 6x² + 8.
Explanation:
The student's question refers to the process of expanding a binomial multiplied by a polynomial using the distributive property (also known as the FOIL method for binomials). To expand it, each term in the first binomial is multiplied by each term in the second polynomial and the results are then added together. Applying this method:
First, multiply 3x by 3x² to get 9x³.Next, multiply 3x by 4 to get 12x.Then, multiply 2 by 3x² to get 6x².Finally, multiply 2 by 4 to get 8.Adding all these products together gives the expanded form: 9x³ + 12x + 6x² + 8. It is important to also combine like terms if there are any; however, in this expansion, there are no like terms to combine.
Classify the triangle.
obtuse
equiangular
right
acute
Answer:
right
Step-by-step explanation:
there is a right angle in the triangle
Answer:
Right
Step-by-step explanation:
Right... the giveaway was the right angle in the pic
A concession stand sells 50 drinks, of which 49 are lemonade. What is the probability that the next
drink sold will be lemonade? Write your answer as a fraction, decimal, or percent.
49 out of 50 drinks were lemonade.
Divide the number of lemonade drinks by total drinks:
49 / 50 = 0.98 = 98%
98% of the drinks were lemonade, so there would be a 98% chance the next drink was lemonade.
what is the range of f?
Answer:
[ -8 , 9 ]
Step-by-step explanation:
You are looking at where f(t), the function, is on its y values.
Please mark for Brainliest!! :D Thanks!!
For more questions or more information, please comment below!
Which of the following is the solution?
[tex]|x|+5\leq1\\|x|\leq-4\\x\in\emptyset[/tex]
C
What is the factored form of the polynomial?
x2 + 9x +20
i
(x - 4)(x - 5)
(x - 2)(x - 10)
(x + 4)(x + 5)
(x + 2)(x + 10)
Mark this and return
Save and Exit
Answer:
(x + 4)(x + 5)
Step-by-step explanation:
Given
x² + 9x + 20
Consider the factors of the constant term (+ 20) which sum to give the coefficient of the x- term (+ 9)
The factors are + 4 and + 5, since
4 × 5 = 20 and 5 + 4 = 9, hence
x² + 9x + 20 = (x + 4)(x + 5)
Select the correct answer from each drop-down menu.
Emily is playing a board game that has a spinner divided into equal sections numbered 1 to 18.
The probability of the spinner landing on an even number or a multiple of 3 is . The probability of the spinner landing on an odd number or a number between 4 and 15 (both numbers excluded) is .
Reset Next
Answer:
The probability of the spinner landing on an even number or a multiple of 3 is 0.6667 .
The probability of the spinner landing on an odd number or a number between 4 and 15 (both numbers excluded) is 0.7778 .
Step-by-step explanation:
Be the events
A = even number
B = Multiple of 3
C = Odd Number
D = Number between 4 and 15, both numbers excluded
The sets are as follows:
A = {2,4,6,8,10,12,14,16,18}
B = {3,6,9,12,15,18}
C = {1,3,5,7,9,11,13,15,17}
D = {5,6,7,8,9,10,11,12,13,14}
To calculate the probability that the roulette lands in an even number or in a multiple of 3, we make the union of A and B:
A U B = {2,3,4,6,8,9,10,12,14,15,16,18} = 12 numbers of 18
P (A U B) = 12/18 = 2/3 = 0.6667
To calculate the probability that roulette lands on an odd number or a number between 4 and 15 (both numbers excluded), we make the union of C and D:
C U D = {1,3,5,6,7,8,9,10,11,12,13,14,15,17} = 14 numbers of 18
P (C U D) = 14/18 = 7/9 = 0.7778
The first answer is 0.6667
The second answer is 0.7778
Hope this helps!
Answer:
first one: 2/3
second one: 7/9
Step-by-step explanation:
PLATO
To solve the equation |x-6|= 0.5x, Kiana graphed the functions F(X) = |x-6|
and G(X) = 0.5x on the same set of coordinate axes. She then found that the
graphs intersected at the points (4, 2) and (12, 6). Finally, she concluded that
the solutions of the equation |X-6|= 0.5x are x = 4 and x = 12. Which of the
following reasons best justifies Kiana's conclusion?
Answer:
F(4) = G(4) and F(12) = G(12) ⇒ answer B
Step-by-step explanation:
* Lets explain the meaning of the common solutions of two equation
- If two equations intersect at one point, (x , y) where x and y have the
same values for both equations
- The point (x , y) belongs to the two graphs
- Ex: If (2 , 3) is a common solution of f(x) and g(x) , then the graphs of
f(x) and g(x) meet each other at the point (2 , 3) that means f(2) = 3
and g(2) = 3
- So f(2) = g(2)
* Lets solve the problem
∵ F(x) = Ix - 6I
∵ G(x) = 0.5 x
∵ The two graphs intersected at points (4 , 2) and (12 , 6)
- That means the two points (4 , 2) and (2 , 6) on the two graphs
∴ F(4) = 2 and G(4) = 2
∴ F(12) = 6 and G(12) = 6
- That means the two points are common solutions for both equations
∴ The solutions of the equation |x - 6|= 0.5 x are x = 4 and x = 12
∴ F(4) = G(4) and F(12) = G(12)
∴ The best reasons which justifies Kiana's conclusion is;
F(4) = G(4) and F(12) = G(12)
- Look to the attached graph to more understanding
- The red graph is F(x)
- The blue graph is G(x)
The best justification of Kiana's conclusion is ; F(4) = G(4) and F(12) = G(12) Option B
How to answer the problemThe justification for Kiana's conclusion is that the values of x and y at the points of intersection are the same for both equations.
This means that the point (x, y) belongs to both graphs.
For example, if (2, 3) is a common solution of f(x) and g(x), then the graphs of f(x) and g(x) intersect at the point (2, 3), which implies that f(2) = 3 and g(2) = 3. Therefore, f(2) = g(2).
To solve the problem at hand, we have
F(x) = |x - 6| and G(x)
= 0.5x.
Given that the two graphs intersect at the points (4, 2) and (12, 6),
Consequently, F(4) = 2 and G(4) = 2, as well as
F(12) = 6 and
G(12) = 6.
These common solutions indicate that the solutions of the equation
|x - 6| = 0.5x are
x = 4 and x = 12.
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Helpppppppppppppp meeee
Answer:
A
Step-by-step explanation:
To evaluate h(6) substitute x = 6 into h(x), that is
h(6) = (3 × 6) - 4 = 18 - 4 = 14 → A
need help asap!!!! thanks
Answer:
g(- 8) = - 62
Step-by-step explanation:
Equate 8x + 2 to - 62
8x + 2 = - 62 ( subtract 2 from both sides )
8x = - 64 ( divide both sides by 8 )
x = - 8
Hence g(- 8) = - 62
The slope-intercept form of the equation of a line that passes through point (–2, –13) is y = 5x – 3. What is the point-slope form of the equation for this line?
Answer:
y+13 = 5(x+2)
Step-by-step explanation:
y = 5x-3
The slope is 5 since it is in the form y= mx +b where m is the slope
The point slope form of the equation of a line is
y-y1 = m(x-x1) where (x1,y1) is the point
y--13 = 5(x--2)
y+13 = 5(x+2)
Answer:
B or y + 13 = 5(x + 2)
Step-by-step explanation:
Jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side. The area of the smaller lawn is 144 square feet. In the equation
(x – 8)2 = 144, x represents the side measure of the original lawn.
What were the dimensions of the original lawn?
4 feet by 4 feet
8 + feet by 8 +
8 feet by 8 +
20 feet by 20 feet
Answer:
20 by 20
Step-by-step explanation:
the new dimensions have to be 12 because 12×12 =144 so you would add 8 to 12 and get 20 for each side
Answer:
D) 20 feet by 20 feet
Step-by-step explanation:
Given:
The area of the original grass lawn reduced by 8 feet on each side.
The smaller lawn's area = 144 square feet which is represented by the equation
[tex](x - 8)^2 = 144[/tex], where "x" is the side of the original lawn.
To find the original dimension of the lawn, we need to solve for x from the above equation.
To solve follow the steps.
Step 1:
To get rid of square on the right hand side, we need to take square root on both sides.
Taking the square root on both sides, we get
[tex]\sqrt{(x - 8)^2} = \sqrt{144}[/tex]
[tex](x - 8) = 12[/tex]
Step 2:
Now add 8 on both sides, we get
x - 8 + 8 = 12 + 8
x = 20
Therefore, the original dimensions of the lawn is 20 feet by 20 feet.
According to the vent diagram below, what is P(AnBnC)? A.2/25 B.3/25 C.4/25 D.1/25
The correct option is B.
The probability [tex]\( P(A \cap B \cap C) \)[/tex] from the Venn diagram is [tex]\( \frac{2}{25} \)[/tex], as 4 out of 50 elements overlap.
To find [tex]\( P(A \cap B \cap C) \)[/tex] from the given Venn diagram, we need to identify the part of the diagram where all three sets A, B, and C overlap, and then calculate the probability of landing in that part of the diagram.
The numbers within each section of the Venn diagram represent the number of elements in that section. The overlapping section of A, B, and C is the center where all three circles intersect, which has the number 4 in it. This means there are 4 elements that are in all three sets A, B, and C.
To calculate the probability [tex]\( P(A \cap B \cap C) \)[/tex], we need to divide the number of elements in [tex]\( A \cap B \cap C \)[/tex] by the total number of elements in the sample space. The sample space in this case is all the numbers within the Venn diagram.
The total number of elements in the Venn diagram is the sum of all the numbers inside the circles.
Let's calculate it step by step.
The probability [tex]\( P(A \cap B \cap C) \)[/tex] is [tex]\( \frac{4}{50} \)[/tex], which simplifies to [tex]\( \frac{2}{25} \)[/tex]. Therefore, the answer is 2/25. Here is the step-by-step calculation:
1. Count the number of elements in the intersection of A, B, and C, which is 4.
2. Count the total number of elements in the sample space, which is 50.
3. Divide the number of elements in [tex]\( A \cap B \cap C \)[/tex] by the total number of elements in the sample space to find the probability:
[tex]\[ P(A \cap B \cap C) = \frac{4}{50} = \frac{2}{25} \][/tex]
This is the required probability.
The complete question is here:
Options
A.2/25
B.3/25
C.4/25
D.1/25
Answer: On APEX it’s 2/25
Step-by-step explanation:
Find the slope-intercept form of an equation for the line that passes through (–1, 2) and is parallel to y = 2x – 3.
Question 8 options:
a)
y = –0.5x – 4
b)
y = 0.5x + 4
c)
y = 2x + 4
d)
y = 2x + 3
Answer:
c
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( where m is the slope and c the y- intercept )
Given y = 2x - 3 ← in slope- intercept form
with m = 2
• Parallel lines have equal slopes, hence
y = 2x + c ← is the partial equation of the parallel line
To find c substitute (- 1, 2) into the partial equation
2 = - 2 + c ⇒ c = 2 + 2 = 4
y = 2x + 4 → c
what is the slop-intercept of the line that passes through the points (7,-5) and (3,-9)?
y = x + 12
y = x - 4
y = x - 12
y = x + 5
[tex]\bf (\stackrel{x_1}{7}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-9}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-9-(-5)}{3-7}\implies \cfrac{-9+5}{-4}\implies \cfrac{-4}{-4}\implies 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-5)=1(x-7) \\\\\\ y+5=x-7\implies y=x-12[/tex]
Which dot plot shows data that is skewed right?
I need this ASAP
Answer:
B
Step-by-step explanation:
A graph skewed right would have LESS dots on the right side
Hope this helped!
Answer:
The correct option is B.
Step-by-step explanation:
Consider the provided graph.
A skewed right: If the distribution has a long right tail then it is know as skewed right. It is also called the positive-skew distributions. Due to a lengthy tail on the number line in the positive direction. The mean is on the right of the peak as well. See figure 1.
Now, consider the provided graph.
Option A is skewed left, so it is not the correct option.
Option B is skewed right, which is the correct option.
Whereas C and D are neither skewed left or right.
Therefore, the correct option is B.
PLEASE
I
NEED
HELP
−15x+4≤109 OR −6x+70>−2
Answer:
All values of x are solutions
Step-by-step explanation:
−15x+4 ≤ 109 OR −6x + 70 > −2
-15x ≤ 105 OR -6x > -72
-x ≤ 7 OR -x > - 12
x ≥ -7 OR x < 12
Answer
x ≥ -7 OR x < 12
All values of x are solutions
A class of 40 students has 11 honor students and 10 athletes. Three of the honor students are also athletes. One student is chosen at random. Find the probability that this student is an athlete if it is known that the student is not an honor student. Round to the nearest thousandth.
Final answer:
To find the probability of choosing a random non-honor student who is an athlete, subtract the number of non-honor students who are athletes but not in the 3 honor athletes group from the total non-honor students.
Explanation:
The question: A class of 40 students has 11 honor students and 10 athletes. Three of the honor students are also athletes. One student is chosen at random. Find the probability that this student is an athlete if it is known that the student is not an honor student.
Step-by-step explanation:
Calculate the total number of students who are not honor students: 40 - 11 = 29.Calculate the number of non-honor students who are athletes but not part of the 3 honor athletes: 10 - 3 = 7.Find the probability that a randomly chosen student who is not an honor student is an athlete: 7 (non-honor athletes) / 29 (total non-honor students) ≈ 0.241.What is the distance from (−4, 0) to (2, 5)? Round your answer to the nearest hundredth. (4 points)
[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-4}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[2-(-4)]^2+[5-0]^2}\implies d=\sqrt{(2+4)^2+(5-0)^2} \\\\\\ d=\sqrt{36+25}\implies d=\sqrt{61}\implies d\approx 7.81[/tex]
Does the ordered pair (-11/3,2/3) satisfy the following system of equations -x+5y=7 and -x-7y=-1
The answer is:
The ordered pair satisfies the following system of equations since it satisfies both equations.
Why?If we need to know if the ordered pair (-11/3,2/3) satisfies the system of equations we need to evaluate it and check if it satisfies both equations, we must remember that the condition that determines if the system of equations is satisfied is that both equations must be satisfied.
So, evaluating the ordered pair, we have:
First equation:
[tex]-x+5y=7\\\\-(\frac{-11}{3})+5*\frac{2}{3}=7\\\\\frac{11}{3}+\frac{10}{3}=7\\\\\frac{11+10}{3}=7\\\\\frac{21}{3}=7\\\\7=7[/tex]
We have that the equation is satisfied.
Second equation:
[tex]-x-7y=-1\\\\-(\frac{-11}{3})-7*\frac{2}{3}=-1\\\\\frac{11}{3}-\frac{14}{3}=-1\\\\\frac{11-14}{3}=7\\\\\frac{-3}{3}=-1\\\\-1=-1[/tex]
We have that the equation is satisfied.
Hence, we have that the ordered pair satisfies the system of equations since it satisfies both equations
Have a nice day!
Final answer:
The ordered pair (-11/3, 2/3) satisfies both equations in the given system, making it a solution to the system of equations.
Explanation:
To determine if the ordered pair (-11/3, 2/3) satisfies the given system of equations, we substitute x with -11/3 and y with 2/3 into both equations.
For the first equation -x + 5y = 7, we get:
-(-11/3) + 5(2/3) = 7
11/3 + 10/3 = 7
21/3 = 7
7 = 7
This confirms that the ordered pair satisfies the first equation.
For the second equation -x - 7y = -1, we calculate:
-(-11/3) - 7(2/3) = -1
11/3 - 14/3 = -1
-3/3 = -1
-1 = -1
The ordered pair also satisfies the second equation.
Since the ordered pair satisfies both equations, it is a solution to the system.
A right prism has a base in the shape of an octagon. The side length of the octagon is 4 inches. The length of the apothem 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.
Answer:
927 Cubic Inches.
Answer:
Area of the prism = 927 in²
Step-by-step explanation:
Area of the prism is defined by A = Area of the base × height
Since base of the prism is an octagon with side length = 4 inches
and apothem = 4.83 inches
Now area of the octagonal base = [tex]\frac{1}{2}(\text{Perimeter})(\text{Apothem})[/tex]
= [tex]\frac{1}{2}(4)(8)(4.83)[/tex]
= 77.28 inch²
Now area of the prism = 12×77.28 = 927.36 inch²
Therefore, area of the prism having base in the shape of an octagon is 927 inch²