Find the area of an octagon whose side length is 16 units and its apothem is 36.63 units.

Answers

Answer 1

Answer:

2,344.32 units

Step-by-step explanation:

the area = 8× ½× 16 × 36.63

= 2,344.32 units


Related Questions

A normal distribution has a mean of 15 and a standard deviation of 2. Find the value that corresponds to the 75th
percentile. Round your answer to two decimal places.
N
0.00
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.5
0.6915
0.6950
0.6985
0.7019
0.7054
0.7088
0.7123
0.7157
0.7190
0.7224
0.6 0.7257
0.7291
0.7324
0.7357
0.7389 0.7422
0.7454
0.7486
0.7517
0.7549
0.7 0.7580
0.7611
0.76420.7673
0.7704
0.7734
0.7764
0.7794
0.7823
0.7852
0.8
0.7881
0.7910
0.7939
0.7967
0.7995
0.8023
0.8051
0.8078
0.8106
0.8133

Answers

I am sorry, I am so confused
I wish I could help

Rules for multiplying exponents

Answers

Answer and Step-by-step explanation:

When multiplying exponents:

- Product of Powers: When the base of the exponents are the same, and the bases are being multiplied to each other, the exponents are added together.

Example: [tex]a^x + a^y = a^{x+y}[/tex]

- Different bases Same Exponents: When the bases of the exponents are different, but the exponents are the same, the bases multiply together (within a parenthesis) with the exponent on the parenthesis.

Example: [tex]a^x*b^x = (a*b)^x[/tex]

- Quotient of Powers: When the base of the exponents are the same, and they are being divided by each other, the exponents will subtract from each other.

Example: [tex]\frac{a^x}{a^y}= a^{x-y}[/tex]

- Power of a Power: When a base has an exponent, and that entire term has and exponent, the exponents multiply together.

Example: [tex](a^x)^y = a^{x*y}[/tex]

- Power of a Product: The opposite of Different bases Same Exponents. Distribute the exponent onto the different bases.

Example: [tex](ab)^x = a^x*b^x[/tex]

- Power of a Quotient: The opposite of Quotient of Powers. Distribute the exponent to the dividing bases.

Example: [tex](\frac{a}{b} )^x = \frac{a^x}{b^x}[/tex]

- Zero Power: Any number raised to the 0 power equals 1.

Example: [tex]a^0 = 1\\999999^0=1[/tex]

- Negative Exponent: Any number raised by a negative number goes to the denominator of a fraction (if not already in the denominator), and vise versa (goes to the numerator if not already in the numerator).

Example: [tex]a^-2 = \frac{1}{a^2} \\\\\frac{1}{b^-3} = b^3[/tex]

- Power of One: Any number raised to the power of 1 is the same number.

Example: [tex]a^1 = a\\\\999^1 = 999[/tex]

I hope this helps!

#teamtrees #PAW (Plant And Water)

A patient consumes 2,000 calories of which 1200 calories were from carbohydrates. What percent of calories were from carbohydrates? Round the answer to the nearest integer.

Answers

Answer:

60%

Step-by-step explanation:

1200/2000=.6 or 60%

60%of calories were from carbohydrates.

What is percentage?

a relative value that represents one tenth of any amount. One percent (symbolized as 1%) is equal to 100 parts; hence, 100 percent denotes the complete amount, and 200 percent designates double the amount specified. percentage. Percentile in mathematics is a related topic.

Given

1200/2000=.6 or 60%

Hence, 60%of calories were from carbohydrates.

To learn more about percentage refer to:

https://brainly.com/question/843074

#SPJ2

The Demand function for a product is given by:

D(q) = - 0.0003q^2 - 0.04q + 23.56

where q is the number of units sold and D(q) is the corresponding price per unit, in dollars. What is the average rate of change of Demand between 40 and 175 units sold?

Answers

Answer:

The average rate of change of Demand between 40 and 175 units sold is of -0.1045.

Step-by-step explanation:

Average rate of change:

The average rate of a function f(x) in an interval [a,b] is given by:

[tex]A = \frac{f(b) - f(a)}{b - a}[/tex]

In this question:

[tex]D(q) = -0.0003q^2 - 0.04q + 23.56[/tex]

What is the average rate of change of Demand between 40 and 175 units sold?

[tex]a = 40, b = 175[/tex]. So

[tex]D(40) = -0.0003*40^2 - 0.04*40 + 23.56 = 21.48[/tex]

[tex]D(175) = -0.0003*175^2 - 0.04*175 + 23.56 = 7.3725[/tex]

So

[tex]A = \frac{f(b) - f(a)}{b - a} = \frac{7.3725 - 21.48}{175 - 40} = -0.1045[/tex]

The average rate of change of Demand between 40 and 175 units sold is of -0.1045.

A local church holds an annual raffle to raise money for a new roof. They sell only 500 tickets at $50 each. This year's prizes include: $3,000 in cash, four $100 Amazon gift cards, and two $75 Visa gift cards. You buy one ticket. What is your mathematical expectation for this game

Answers

Answer:

The expectation for an event with outcomes:

{x₁, x₂, ..., xₙ}

Each one with probability:

{p₁, p₂, ..., pₙ}

Is:

Ev = x₁*p₁ + ... + xₙ*pₙ

There are 500 tickets sold.

1 of these, wins $3,000  (this is the event x₁)

4 of these, wins $100     (this is the event x₂)

2 of these, wins $75        (this is the event x₃)

The others do not have a prize.

So the probability of winning the $3000 is equal to the quotient between the number of tickets with that prize (1) and the total number of tickets (500)

p₁ = 1/500

Similarly, the probability of winning $100 will be:

p₂ = 4/500

And for the $75 prize:

p₃ = 2/500

Then the probability of not winning is:

p₄ = 493/500

Then the expected value for a single ticket is:

Ev = $0*493/500 + $75*2/500 + $100*4/500 + $3000*1/500

Ev = $7.1

If you take in account that you pay $50 for the ticket, the actual expectation should be:

E = $7.10 - $50 = -$42.90

Can somebody help me find the answer to this problem please ?

Answers

Answer:

Step-by-step explanation:

Answer:

D. x = -2y + 4

Step-by-step explanation:

4x + 8y = 16

Solve for x

Our objective here is to isolate x ( in other words we want to get x by itself ) using inverse operations.

So let's begin

4x + 8y = 16

First we want to get rid of 8y

Notice how 8y is being added to 4x

Well we can get rid of it by applying it's inverse operation. The opposite of addition is subtraction. So to get rid of 8y we would simply subtract 8y.

Important note! Whatever we do to one side we must do to the other

So we would subtract 8y from both sides

4x + 8y - 8y = 16 - 8y

The 8y on the left hand side cancels out and the 8y on the right side stays as it is as you can't subtract 8y from 16

We then have 4x = 16 - 8y

Next we want to get rid of 4 from 4x.

4x is the same as 4*x which is multiplication

The inverse of multiplication is division so to get rid of the 4 we divide both sides by 4

4x/4 = (16-8y)/4

4x/4 = x

16-8y/4 ( simply divide 16 by 4 and -8y by 4 )

16-8y/4 = 4 - 2y

We're left with x = 4 - 2y which can also be written as x = -2y + 4

How far apart are the 2 cities? See picture.
Show steps

Answers

9514 1404 393

Answer:

  373 miles

Step-by-step explanation:

The difference in latitude is ...

  39.1° -33.7° = 5.4° = 0.54°(π/180°) radians = 0.03π radians

The arc length is given by ...

  s = rθ, where θ is the angle in radians

The length of the arc along the longitude line is ...

  s = (3960 mi)(0.03π) ≈ 373 mi

The distance from Atlanta to Cincinnati is about 373 miles.

Please help me to find this answer

Answers

Answer:

Look in Step by Step Explanation

Step-by-step explanation:

3)SOHCAHTOA

tan=opposite/adjacent

tan(20)=x/83

83tan(20)=x

x=30.209

2) SOHCAHTOA

Tangent=opposite/adjacent

Tan(62)=x/8

8tan(62)=x

x=15.04

3)SOHCAHTOA

Sin=opposite/hypotonouse

sin(25)=30/x

x=30/sin(25)

x=70.986

Find the value of x to the nearest tenth of a degree.
20.4
21.8
42.9
68.2

Answers

Answer:

Answer is 20.4 .........

The answer is 20.4 because i also got it right

A California distributor of sporting equipment expects to sell 10,000 cases of tennis balls during the coming year at a steady rate. Yearly carrying costs (to be computed on the average number of cases in stock during the year) are $10 per case, and the cost of placing an order with the manufacturer is $45. Determine the economic order quantity, that is, the order quantity that minimizes the inventory cost.

Answers

The economic order quantity is 300 cases of tennis balls.

The economic order quantity (EOQ) is the minimum quantity that the distributor can order per order to minimize inventory costs.

Data and Calculations:

Sales of tennis balls for the coming year = 10,000 units

Carrying (holding) costs per case = $10

Cost of placing orders with the manufacturer = $45 per order

Economic Order Quantity (EOQ) = square root of (2 * Annual Demand/Sales * Ordering cost)/Carrying cost per case

= square root of (2 * 10,000 * $45)/$10

= square root of 90,000

= 300 cases of tennis balls

This implies that the distributor will place about 33 orders (10,000/300) in the coming year.  With each order, the quantity placed is 300 units.

Thus, the economic order quantity that will minimize the California distributor's inventory costs for the year is 300 cases of tennis balls.

Learn more about economic order quantity here: https://brainly.com/question/9068415

Use the matrix tool to solve the system of equations choose the correct ordered pair -5x+6y=-3 6x-6y=12

Answers

Answer:

Hello,

x=9

y=7

Step-by-step explanation:

[tex]A*U=B\\\\\begin{bmatrix}-5&6\\6&6\\\end{bmatrix}*\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}-3\\12 \end{bmatrix}\\\\\\A^{-1}=\begin{bmatrix}1&1\\1&\dfrac{5}{6}\\\end{bmatrix}\\\\\\A^{-1}*A*U=A^{-1}*B\\\\U=\begin{bmatrix}9\\7 \end{bmatrix}\\[/tex]

what is a cell and why it is necessary​

Answers

CELL

Cells are the basic building blocks of living things. The human body is composed of trillions of cells, all with their own specialised function. Cells are the basic structures of all living organisms.

IMPORTANCE

Cells provide structure for the body, take in nutrients from food and carry out important functions.

I HOPE THIS WILL HELP YOU IF NOT THEN SORRY

HAVE A GREAT DAY :)

The average fish at a fishing tournament was 12.4 pounds. Some of the weight last of the fish are shown on the table:


What was the weight of the heaviest fish?

Answers

Answer:

15.5kg

Step-by-step explanation:

12.4kg × 5 = 62kg,

= 62kg - (14.6kg + 11.4kg + 10.3kg + 10.2kg)

= 62kg - 46.5kg

= 15.5kg

A football team is currently number 19 in overall offence. They have gotten 1,940 yards, while the number one
offence has received 2,728 yards. They've both played four games. How many more yards per game is the top
team receiving?

Answers

Answer:

20

that's grbrhrhbrhshsheheehebbebdbshwjwwmkwkw

Answer:

197 yards per game

Step-by-step explanation:

divide both values by 4 and subtract the value of the losing team from the value of the winning team to get your answer.

what is the value of tan 0 in the unit circle below? (square root3/2,1/2)

Answers

Answer:

√3/3

Step-by-step explanation:

To obtain Tan θ ;

From trigonometry, tan θ = sin θ / cosθ

Given the paired value : (√3/2, 1/2)

The (cosine, sine ) pair ;

Tan θ = sin (1/2) / cos (√3/2)

Tan θ = (1/2 ÷ √3 / 2) = 1 / 2 * 2 / √3 = 2 / 2√3 = 1 / √3

Tan θ = 1 / √3

Rationlaizing the denominator :

1/√3 * √3/ √3 = √3/√9 = √3/3

If f:X is 3x + b and ff(2) = 12, find the value of b​

Answers

Answer:

[tex]b =6[/tex]

Step-by-step explanation:

Given

[tex]f(x) =3x + b[/tex]

[tex]f(2) = 12[/tex]

Required

Find b

[tex]f(2) = 12[/tex] implies that:

[tex]12 = 3 * 2 + b[/tex]

[tex]12 = 6 + b[/tex]

Collect like terms

[tex]b = 12 - 6[/tex]

[tex]b =6[/tex]

PLEASE HELP!! URGENT

Answers

Answer:

y=105

Step-by-step explanation:

82+75+x=180

157+x=180

x=23

82+23=y

105=y

2067 Supp Q.No. 2a Find the sum of all the natural numbers between 1 and 100 which are divisible by 5. Ans: 1050 ​

Answers

5

Answer:

1050

Step-by-step explanation:

Natural Numbers are positive whole numbers. They aren't negative, decimals, fractions. We can just divide 5 into 100 to find how many natural numbers go up to 100 and just add them but that is just to much.

There is a easier method.

E.g: Natural Numbers that are divisible by a Nth Number. is the same as adding the Nth Numbers to a multiple of that Nth Term. For example, let say we need to find numbers divisible by 2. We know that 4 is divisible by 2 because 4/2=2. We can add the Nth numbers which is 2 to 4. 4+2=6. And 6 is divisible by 2 because 6/2=3. We can call this a arithmetic series. A series which has a pattern of adding a common difference

Back to the problem, we can use the sum of arithmetic series formula,

[tex]y = x( \frac{z {}^{1} + {z}^{n} }{2} )[/tex]

Where x is the number of terms in our sequence. Z1 is the fist term of our series. ZN is our last term. And y is the sum of all of the terms

The first term is 5, the numbers of terms being added is 20 because 100/5=20. The last term is 100.

[tex]y = 20( \frac{5 + 100}{2} )[/tex]

[tex]y = 20( \frac{105}{2} )[/tex]

[tex]y = 1050[/tex]

One time Maria took 27 minutes to walk 1.8km to school. She left home at 07:48 . Write down the time Maria arrived at school

Answers

Answer:

8:15

Step-by-step explanation:

the time would be 8:15 7:48 + 27 = 8:15

A son is 8 years old. his father is 5 times as old. How old will the father be when he is twice as old as his son?

Answers

The father would be 64 years old

What is the inverse of the function g (x) = 5 (x - 2)

Answers

Answer:

g − 1 ( x ) =  x/ 5 +  2

Step-by-step explanation:

See the pic for solutions :)

we make a sequence of figures with tiles. The first four figures have 1,4,7 and 10 tiles, respectively. How many tiles will the 15th figure have?

Answers

Answer:

43

Step-by-step explanation:

1 , 4 , 7 , 10

→ Find the difference between each term

4 - 1 = 3, 7 - 4 = 3 and 10 - 7 = 3

→ Put this into the nth term format

3n + x

→ Write the 3 times tables above the sequence and find what you need to take away from the times tables to get to the sequence

3 , 6 , 9 , 12

1 , 4 , 7 , 10

→ Minus 2

3n - 2

→ Substitute 15 as n

3 × 15 - 2 = 43

Two sides of a triangle are 24 inches in length, what is the length of the third side

Answers

The answer should be 24 inches

Find the value of x round to the nearest tenth.

Answers

9514 1404 393

Answer:

  117.9°

Step-by-step explanation:

Solving the Law of Cosines equation for C, we get ...

  C = arccos((a² +b² -c²)/(2ab))

Filling in the values from the figure, we find the angle X to be ...

  X = arccos((y² +z² -x²)/(2yz)) = arccos((55² +50² -90²)/(2·55·50))

  X = arccos(-2575/5500) ≈ 117.9°

How many
Assume that the mean hecaht of soldiers is 166cm
with a standard deration of 8. cm.
soldeers in a regiment of 1000 would you expect to
be over 177 cm tall.

Answers

Answer:

85

Step-by-step explanation:

Given that :

Mean height , μ = 166

Standard deviation, σ = 8

Sample size, n = 1000

Using the Zscore formula :

Zscore = (x - μ) / σ

x = 177

Z = (177 - 166) / 8

Z = 1.375

P(Z > 1.375) = 0.084566(Area to the right of Z)

P(Z > 1.375) * n

0.084566 * 1000 = 84.566 = 85 soldiers

One month Kaitlin rented 2 movies and 5 video games for total of $34. The next month she rented 8 movies and 3 video games for total of $51. Find the rental cost of each movie and each video game.

Answers

Answer:

A movie is $4.50 and a video game is $5

Step-by-step explanation:

Create a system of equations where m is the cost of each movie and v is the cost of each video game:

2m + 5v = 34

8m + 3v = 51

Solve by elimination by multiplying the top equation by -4:

-8m - 20v = -136

8m + 3v = 51

Add these together and solve for v:

-17v = -85

v = 5

So, a video game is $5. Plug in 5 as v into one of the equations, and solve for m:

2m + 5v = 34

2m + 5(5) = 34

2m + 25 = 34

2m = 9

m = 4.5

A movie is $4.50 and a video game is $5

If one big rectangle represents one whole what fraction of area is shaded gold in the two rectangle

Answers

Answer:

15/8

Step-by-step explanation:

one big rectangle is 1 or 8/8 and the other is 7 out of 8, therefore we have 8/8+7/8 = 15/8.

Simplify expression 1 1/2

Answers

Answer:

3/2 or 1.5

Step-by-step explanation:

Hey there!

[tex]\huge\boxed{\mathsf{1\dfrac{1}{2}}}}\\\huge\boxed{\mathsf{\rightarrow \dfrac{1\times1+2}{2}}}\\\\\\\huge\boxed{{1\times1+2}}\\\huge\boxed{= 1+2}\\\huge\boxed{=3}\\\\\\\huge\boxed{\rightarrow \mathsf{\dfrac{3}{2}}}\\\\\\\huge\boxed{\textsf{Answer: }\bf \dfrac{3}{2}}\huge\checkmark\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\\\\\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Write as an algebraic expression: *20% of 75% of y

Answers

Answer:

0.15y

Step-by-step explanation:

0.2*0.75*y = 0.15y

Find the center and radius of the circle. Write the standard form of the equation.
(1,6) (10,6)

Answers

Answer:

Centre, ((1+10)/2,(6+6)/2)

or, (11/2,12/6)

or, (5.5,6)

Radius,

[√{(10-1)²+(6-6)²}]/2

= (√81)/2

= 9/2 = 4.5

(x-11/2)²+(y-6)²=20.25

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