Mark drew a regular octagon with side lengths of 10 inches. He divided the octagon into two identical trapezoids and a rectangle. He measured the height of one of the trapezoids to be 7 inches, and the width of the rectangle to be 24 inches. Find the area of the octagon.

Answer:

498

Step-by-step explanation:

We will need to use the Pythagorean Theorem.

A^2 + B^2 = C^2

45^2 + B^2 = 500^2

Subtract 45^2

B^2 = 500^2 - 45^2

Simplify

B^2 = 247,975

Take square root so B is alone

B = 497.9708

Round

B = 498

Answer: Yes

Step-by-step explanation: The sum of the length of the 2 smaller side must be greater than the biggest side (hypotneus) So yes, 9+2=11 which is greater than 10.

Answer:

Step-by-step explanation:

Find the slope of the line between (5,5)and (1,0) using m=(y2-y1)/(x2-x1)

which is the change of y over the change of x.

m=5/4

Use the slope 5/4 and a given point (5,5) to substitute for x1 and y1 in the point-slope form y−y1=m(x−x1), which is derived from the slope equation m=(y2-y1)/(x2-x1)

y-5=5/4*(x-5)

Simplify the equation and keep it in point-slope form y-5=5/4*(x-5)

Solve for y.

y=5x/4-5/4

Reorder terms.

y=5/4 x-5/4

List the equation in different forms.

Slope-intercept form: y=5/4 x-5/4

Point-slope form: y-5=5/4*(x-5)

Answer:

Step-by-step explanation:

Given that

1gallon=3.8liters

0.5gallon=x

x=0.5*3.8

x=1.9liters

we know that 1liter is 1000cm^3

                       1.9liter is x

x=1900cm^3

Now we have the volume of water poured in cm^3

the volume of a rectangular prism is

volume=l*w*h

1900=30*20*h

1900=600h

h=1900/600

h= 3.16cm

Answer:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. A dilation that creates a larger image is called an enlargement. A dilation that creates a smaller image is called a reduction. A dilation stretches or shrinks the original figure.

Using proportions, it is found that it will take 75 loads to move all the gravel.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In one load, they mode 80 pounds. How many loads are needed to move 3 tons = 3 x 2000 = 6000 pounds? The rule of three is given as follows:

1 load - 80 pounds

x loads - 6000 pounds

Applying cross multiplication:

80x = 6000

x = 6000/80

x = 75.

It will take 75 loads to move all the gravel.

More can be learned about proportions at https://brainly.com/question/24372153

Answer: 90 degrees

Step-by-step explanation: ez

Answer:

6 stuffed animals

Step-by-step explanation:

if 1/4= 1 then 1x6= 1 1/2

Answer: The answer is: 6

Step-by-step explanation: I have my ways ;>

Have a nice day!

-Sunny

The area under the curve shaded is -1 to 2 is 13.59%.

The z score is a measure used in statistic to determine by how much standard deviations the raw score is above or below the mean.

If the raw score is greater than the mean then the z score is positive but if the raw score is less than the mean then the z score is negative.

The formula of z score

[tex]Z=\frac{x-\mu}{\sigma}[/tex]

[tex]\mu=mean[/tex]

[tex]\sigma=standard deviation[/tex]

x=raw score

From the normal distribution table,

Area between z = -2 and z =-1  is given by

P(-2 < z < -1) implies that  P(z < -2) - P(z < -1) that is

 P(z < -2) - P(z < -1) = 0.1587 - 0.0228

P(z < -2) - P(z < -1) = 0.1359

P(z < -2) - P(z < -1) = 13.59%

Therefore we get the area under the curve shaded is -1 to 2 is 13.59%.

To learn more about the area under the curve visit:

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Answer:

μ = $240

σ = $50

Step-by-step explanation:

Profit is revenue minus cost:

P = R – C

The revenue is $2 times the number of slices sold, and the cost is $160.

P = 2x – 160

The average profit is:

μ = 2(200) – 160

μ = 240

The standard deviation is:

σ = 2(25)

σ = 50

Answer:

z= - 1/2h + 1/2b

Step-by-step explanation:

-2z + b = h

-2z = h - b

z= - 1/2h + 1/2b

Answer:

For class A, the test scores were closer togther so that means more students most likely scored the smae score mutiple times. I think this because the box on the box plot is not spread out like class B.

For class B, the scores varied more so the box plot has to be spread out over more values. Because of the box plot, we can see that Class B had the highest test score compared to class A.

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

108r4

Step-by-step explanation:

91+16 yea go install senebratic

Answer:

It has been answered and I need some point so I hope you don't mind lol

Step-by-step explanation:

Answer:

PLz give brainliest

Step-by-step explanation:

Y=60

x=33

Answer:

are congruent

Step-by-step explanation:

If two polygons are congruent, then they have the same area.

Two polygons are congruent if their corresponding sides and angles are congruent. Note: Two sides are congruent if they have the same length and angles are congruent if they have the same measure. We indicate that angles are congruent by putting the same number of slash marks through each angle.

Step-by-step explanation:

Area of trapezium= 40cm²

½ h(b1+b2)=40

½ h (12+8)=40

½h (20)=40

h=40×2/20

h=4cm

Answer:

1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1=25

Step-by-step explanation:

mafs

19+6

(19+1)+(6-1)    adding 1 to 1 number and subtracting 1 from the other

20+5             simplifying

25                 now it's just adding 20 + 0 + 5 = 25

This problem is a little abstract, but I hope it helped. Happy mathing!

Given:

The sequence is 29, 22,​ 15, 8,​ 1, ...

To find:

The common difference.

Solution:

We have,

29, 22,​ 15, 8,​ 1, ...

It is an AP.

First term : [tex]a_1=29[/tex]

Second term : [tex]a_2=22[/tex]

Now,

Common difference : [tex]d=a_2-a_1[/tex]

[tex]d=22-29[/tex]

[tex]d=-7[/tex]

Therefore, the correct common difference is -7.

Note: Here calculation by student is not given, so we cannot find the error of the student.

Answer:

5 and a half hours

Step-by-step explanation:

347.5-100=247.5

247.5/45=5.5

Answer:

Kaya rented the limo for about 5 and a half hours

                             Hope this helps! good luck :)

Answer:

E, 3/2

Step-by-step explanation:

First, say that the numerator is 2^2001 * 3^2001 * 3^2, so that the powers will align. Then, we can combine 2^2001 and 3^2001 for 6^2001. If we ignore the 3^2, we get 6^2001/6^2002, which simplifies to 1/6. If we multiply 9 (which is 3^2) to 1/6, we get 9/6=3/2. This is a pretty tough question. Hopefully this helps!

The circumference of the Ferris wheel is the product of the diameter and [tex]\pi[/tex]

The circumference equation of the Ferris wheel is C =63 * [tex]\pi[/tex]

The circumference of a circle, when the diameter is given is calculated using the following equation

C = [tex]\pi[/tex]d

The diameter of the Ferris wheel is given as:

d = 63 feet.

So, we have;

C = [tex]\pi[/tex] * 63

Rewrite as:

C =63 * [tex]\pi[/tex]

Hence, the circumference equation of the Ferris wheel is C =63 * [tex]\pi[/tex]

Read more about circumference at:

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Answer:

x=20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

2/5x + 4 = 1/5x + 8

(subtract 1/5x from both sides)

1/5x + 4 = 8

(subtract 4 from sides)

1/5x = 4

(multiply by 5 from both sides of the equation to isolate x)

x = 20

Answer:

f=3

Step-by-step explanation:

4=2f-2

6=2f

f=3

Answer:

f=3

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

perimeter = sum of the lengths of the sides

perimeter = 5 m + 5 m + 2 m + 5 m + 1 m

perimeter = 18 m

Hey there!

[tex]\fbox{2x²+16x-7}[/tex]

[tex]\fbox{2(x + 4)² - 39}[/tex]

Answer:

Step-by-step explanation:

As per given

So combined probability is:

Given that the points on triangle XYZ are, (-2, 12), (6, 4), (-6, -4), and the scale factor and center of dilation are 3/4, and (-2, 8), the coordinates of triangle X'Y'Z' are;

The coordinates of the vertices of the triangle are;

X(-2, 12), Y(6, 4), Z(-6, -4)

The center of dilation = (-2, 8)

The scale factor of the dilation = 3/4

The coordinates of the required image following the dilation are;

(-2 + (3/4) × ((-2 - (-2)), 8 + (3/4) × (12 - 8))

The coordinates of X' = (-2, 11)

The coordinates of Y' are found as follows; (-2 + (3/4) × ((6 - (-2)), 8 + (3/4) × (4 - 8))

The coordinates of Y' = (4, 5)

The coordinates of Z' are found as follows; (-2 + (3/4) × ((-6 - (-2)), 8 + (3/4) × (-4 - 8))

The coordinates of Z' = (-5, -1)

The coordinates of the vertices of the triangle XYZ following a dilation by a scale factor of (3/4) are;

Learn more about dilation transformation here:

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