Find the area of the Regular Octagon below and show all mathematical reasoning.

Answer:

80.6 m

Step-by-step explanation:

Coordinates of the points P and Q are (0, 0) and (40, 70) respectively.

Length of the shortcut can be found by using distance formula between two points P and Q.

Length of the shortcut

[tex] = \sqrt{ {(40 - 0)}^{2} + {(70 - 0)}^{2} } \\ \\ = \sqrt{ {40}^{2} + {70}^{2} } \\ \\ = \sqrt{1600 + 4900} \\ \\ = \sqrt{6500} \\ \\ = 80.6225775 \\ \\ \approx \: 80.6 \: m[/tex]

Answer:

28.26[tex]in^{2}[/tex]

Step-by-step explanation:

Given,

Radius of the circle = 3in.

Area = ?

They have told us to use 3.14 for [tex]\pi[/tex]

Area formula = [tex]\pi r^{2}[/tex]

=> 3.14 * 3 * 3

=> 3.14 * 9

=> 28.26[tex]in^{2}[/tex]

Therefore the area of the circle is  28.26[tex]in^{2}[/tex]

Hope it helps :)

Answer:

28.26

Step-by-step explanation:

You want to plug everything in to the equation that you can. It says that pi=3.14, and the radius (aka r) is equal to 3. Therefore when plugging everything in, the equation reads (3.14)(3)^. ^ means squared, its the tiny 2 above the r. when something is squared it means you multiply it by itself 2 times. therefore 3 squared = 3 x 3= 9. After finding out 3^=9, the equation reads (3.14)(9). Now all you have to do is multiply the 2 together which results in 28.26.

Answer:

a) 5units

b) (4.5, 4)

Step-by-step explanation:

Let the coordinate of P and Q be P(3, 2) and Q(6, 6)

PQ can be gotten using the distance formula;

PQ =√(6-2)²+(6-3)²

PQ = √4²+3²

PQ =√16+9

PQ =√25

PQ = 5units

Midpoint M is  expressed as;

M(X, Y) = {(x1+x2)/2, y1+y2/2}

X = x1+x2/2

X = 3+6/2

X= 9/2

X = 4.5

Similarly;

Y = y1+y2/2

Y = 2+6/2

Y = 8/2

Y = 4

Hence the midpoint of PQ is (4.5, 4)

Answer:

67

Step-by-step explanation:

Answer:

D I think,

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

62x + 310 = 2542

62x = 2232

x = 36

Answer:

36

Step-by-step explanation:

62x + 310 = 2542

Subtract 310 from both sides

62x = 2,232

Then Divide by 62

x = 36

Enjoy.

Answer:

The perimeter of the court is 88 m

Step-by-step explanation:

To find the perimeter:  (27 x 2)+(17 x 2)     length*2 + width*2

Hope this helps :)

Answer:

1. An odd number of factors were negative

Step-by-step explanation:

The first is true.

If an odd number of factors were negative, you have a negative result.

When you divide a negative by a negative you have a positive.

In this case when you divide the negative product by - 2 you have a positive.

Answer:

t + 0.8 =1.5

Step-by-step explanation:

Our objective is to get to 1.5. we know that part of the distance is 0.8 but we don't know the other half (t).

Answer:

I, J

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

432/27=16

Answer: 1/1000

Step-by-step explanation:

1 * 10^-3 = 1 * 1/10^3 = 1/1000

Answer:

NaN  -12

Step-by-step explanation:

Answer:

Step-by-step explanation:

For this problem use 3.14 for , and any non-integer answers should be entered as decimals rounded to the hundredths place. Lannon is designing a carnival game for a school event. She has a large wooden square and she needs to cut out a circle from the middle. The circumference of the circle that she plans to cut out is 56.52 inches. What is the radius

The formula for circumference of a circle = 2πr

Circumference = 56.52 inches

r = Circumference/2π

r = 56.52/2π

Answer:

Ok so I see 34 as the dynamotor (I think that is how you spell it lol) and 27 as the height 3.14 as PIE would be for the radios divide 34 and you get 17 therefore 17 times 27 is 578 divide that by PIE aka * 3.14 you get 184 I believe this is correct.

Step-by-step explanation:

Answer:

Third Option

Step-by-step explanation:

The triangles are congruent.

Answer:

the answer is C

Step-by-step explanation:

if you read the story again you will see why

1st graph all the negative & positive numbers

The opposite of 2 is -2 because it's a negative number ( opposite of 2 )

Answer:

X=12

Step-by-step explanation:

since it is an isosceles triangle opposite sides are congruent which means 7x+24=13x-48 you then would need to subtract either the whole numbers or the variables from each side so add 48 on each side it equals to 7x+72=13x then subtract 7x from 13x and you get 72=6x divide both sides 6/6=x, 72/6 Therefore x=12 HOPE that helped mark me brainiest pls

Answer: x = 12

Step-by-step explanation:

There are two triangles. The two vertical lines on the legs at the top indicate that those two sides are congruent or equal to each other. The line down the middle with the right angle box shows that the two triangles share a common side. This would show the two triangles are congruent through Side/Angle/Side. This would indicate that the two sides with equations are equal to each other. That being said, you can setup the equations to equal one another to solve for x:

[tex]7x + 24 = 13x - 48[/tex]

Now, you would just solve this like a normal equation. I would subtract the 7x from both sides a well as add the 48 to both sides. This would result to: [tex]72 = 6x[/tex]

Dividing both sides by 6 would get you:

[tex]x = 12[/tex]

Answer:

x=6 degrees

Step-by-step explanation:

I know that 31+(10x-1)=90. Then I have to subtract 31 from 90 to get 10x -1.

That's 59. I solve for x in the equation 59=10x-1.

That is the same thing as 60=10x, which is also the same as 6=x.

Answer:

=1/2 (2) (1/3)

Step-by-step explanation:You have to find the size of the sides using the intersecting lines and then multiply L*W

Answer:

1/2 (2) 1/3

Step-by-step explanation:

trust me broo

Answer:

160,000,000,000,000

Step-by-step explanation:

M= 200,000,000,000,000

P= $40,000,000,000,000

200,000,000,000,000 - 40,000,000,000,000=

160,000,000,000,000

All you have to do is do 10x10 14/13 times or cause it's 10 just add 14/13 zeros

Answer:

(2×10^14)/(4×10^13) = 5

Star M is 5 times farther from earth than Star P.

Answer:

3x=78+x-2

Step-by-step explanation:

Answer:

Indeed, the given triangle is a right triangle.

Step-by-step explanation:

A triangle is formed by the following three points: [tex]A(x,y) = (x_{1}, y_{1})[/tex], [tex]B(x,y) = (x_{2}, y_{1})[/tex] and [tex]C(x,y) = (x_{2}, y_{2})[/tex]. Then, we construct the following vectors:

[tex]\overrightarrow {BA} = (x_{2}-x_{1}, y_{1}-y_{1})[/tex]

[tex]\overrightarrow{BA} = (x_{2}-x_{1}, 0)[/tex] (1)

[tex]\overrightarrow{BC} = (x_{2}-x_{2}, y_{2} - y_{1})[/tex]

[tex]\overrightarrow{BC} = (0, y_{2}-y_{1})[/tex] (2)

If triangle ABC is a right triangle, then [tex]\overrightarrow{BA}\,\bullet\,\overrightarrow{BC} = 0[/tex]. By (1) and (2) we have this expression:

[tex](x_{2} - x_{1})\cdot (0) + (0)\cdot (y_{2} - y_{1}) = 0[/tex]

Therefore, the given triangle is a right triangle.

Answer:

A. a cube

B. a square prism

C. a rectangular prism

Step-by-step explanation:

The net of a given shape is the description of  its three dimensional surfaces  in two dimensional plane. From the given question, the 6 rectangular net of the shape has a condition that: the 6 rectangles may or may not be squares. Thus, the figure could be;

i. a cube

ii. a square

iii. a rectangular prism

The three options above have surfaces that could either be squares or rectangles.

Answer:

216

Step-by-step explanation:

V = whl =9 · 4 · 6 = 216

Answer:

m<YX=60° is a required answer

Answer:

m<YX=60° is a required answer

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf x\approx 63.7}}[/tex]

Step-by-step explanation:

This is a right triangle. We know this because there is a small square in the corner representing a 90 degree/right angle. Therefore, we can use the right triangle trigonometry ratios.

We are given angle A which measures 37 degrees.

Side BC which measures 48 is opposite angle A and the unknown side, x, is next to or adjacent to angle A.

We should use tangent.

[tex]tan \theta= \frac{opposite}{adjacent}}[/tex]

[tex]tan37= \frac {48}{x}[/tex]

Since we are solving for x, we must isolate the variable. First, cross multiply. Multiply the first numerator and the second denominator, then the first denominator and second numerator.

[tex]\frac {tan37}{1}=\frac {48}{x}[/tex]

[tex]tan37*x=48*1[/tex]

[tex]tan37*x= 48[/tex]

x is being multiplied by the tangent of 37. The inverse of multiplication is division, so we divide both sides by the tangent of 37.

[tex]\frac {tan37 *x}{tan37}=\frac{48}{tan37}[/tex]

[tex]x= \frac{48}{0.7535540501}}[/tex]

[tex]x=63.69815144[/tex]

Even though it is not specified, let's round to the nearest tenths place. The 9 in the hundredth place tells us to round the 6 up to a 7.

[tex]x\approx 63.7[/tex]

The unknown side is approximately 63.7 units long.