A stop sign is in the shape of a regular octagon. Each side measures 12.4 inches and the apothem of the octagon measures 15 inches. A stop sign is shown. What is the area of the stop sign? 93 square inches 186 square inches 744 square inches 1,488 square inches

Answers

Answer 1
Answer:

The area of the stop sign which is an octagon is 744 square inches.

Option C is the correct answer.

We have,

To find the area of the stop sign, we can use the formula for the area of a regular polygon:

Area = (1/2) × perimeter × apothem

The perimeter of the stop sign is 8 × 12.4 = 99.2 inches.

Using the given apothem of 15 inches, we can plug in the values and calculate:

Area = (1/2) × 99.2 × 15

Area = 744 square inches

Therefore,

The area of the stop sign is 744 square inches.

Learn more about octagons here:

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Answer 2
Answer:

Answer:744 square inches

Step-by-step explanation:

Just did it it correct trust me


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Answers

Answer:

I belive it would be 1/5. ;;;

Factorize each expression. (a) r² +2rt - 2st - rs​

Answers

so first split into two

(r^2+2rt) (-2st-rs)

now we can factorise each

r(r+2t) -s(2t+r)

now the inside of the bracket is the same so we can reconfigure like this

(r-s)(r+2t)

all i did was put the two outside terms together to make (r-s)

this is your answer

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Multiply
(9.4 x 10^6)(3.2 x 10^5)
PLZZZZ

Answers

Answer:3.008x10^12

Step-by-step explanation:

Answer:

3008000000000 or 3.008×10^12

Step-by-step explanation:

(9.4×3.2)×(10^6×10^5) use communitive property to reorder terms

30.08×10^6+5 multiply the numbers

30.08×10^11 add your exponents to equal 10^11

3.008×10^12 put in scientific notation

hope this helped!

100 is 10 times much as

Answers

Answer:

?? If you answer is how does 10 become 100, you multiply 10 by 10?? Sorry

Step-by-step explanation:

Answer:

100 is 10 times as much as 10

Step-by-step explanation:

10 times 10 is 100.

How do you do this 6-2x=10

Answers

-2x=10-6

The answer: x= -2

Answer:

x= -2

Step-by-step explanation: (remember the 6 in this equation is positive so you'll subtract it and the 2 is actually -2x. First, you'll subtract 6 from itself and 10, the two 6's cancel out and 10-6=4. Then, you'll divide -2 and 4 by -2, the two -2's cancel out and 4 divided by -2 is -2. Finally, you'll see that x = -2. This is all done by the order of operations also known as PEMDAS. )

6 - 2x =10

-6          -6

-----------------

      -2x = 4

      ------------

        -2 = -2

        x = -2

Write the formula for Newton's method and use the given initial approximation to compute the approximations x_1 and x_2. f(x) = x^2 + 21, x_0 = -21 x_n + 1 = x_n - (x_n)^2 + 21/2(x_n) x_n + 1 = x_n - (x_n)^2 + 21 x_n + 1 = x_n - 2(x_n)/(x_n)^2 + 21 Use the given initial approximation to compute the approximations x_1 and x_2. x_1 = (Do not round until the final answer. Then round to six decimal places as needed.)

Answers

Answer:

x_(n+1) = x_(n) - (f(x_(n) ))/(f^(')(x_(n)))

x_(1) = -10

x_(2) = -3.95

Step-by-step explanation:

Generally, the Newton-Raphson method can be used to find the solutions to polynomial equations of different orders. The formula for the solution is:

x_(n+1) = x_(n) - (f(x_(n) ))/(f^(')(x_(n)))

We are given that:

f(x) = x^(2) + 21; x_(0) = -21

f^(') (x) = df(x)/dx = 2x

Therefore, using the formula for Newton-Raphson method to determine x_(1) and x_(2)

x_(1) = x_(0) - (f(x_(0) ))/(f^(')(x_(0)))

f(x_(0)) = x_(0) ^(2) + 21 = (-21)^(2) + 21 = 462

f^(')(x_(0)) = 2*(-21) = -42

Therefore:

x_(1) = -21 - (462)/(-42) = -21 + 11 = -10

Similarly,

x_(2) = x_(1) - (f(x_(1) ))/(f^(')(x_(1)))

f(x_(1)) = (-10)^(2) + 21 = 100+21 = 121

f^(')(x_(1)) = 2*(-10) = -20

Therefore:

x_(2) = -10 - (121)/(20) = -10+6.05 = -3.95