what is the slope of (8,4), (4,4)?

Answer:

61.2 in

Step-by-step explanation:

Draw a segment from O perpendicular to AB forming a right triangle.

Call the point of intersection J.

m∠HAB = (8 - 2)180/8 = 135

m∠BAO = 135/2 = 67.5

AJ/10 = cos 67.5

AJ = 10 cos 67.5

AB = 2(10 cos 67.5)

Perimeter = 8(AB) = 8(2)(10 cos 67.5) = 61.2 in.

The perimeter of a regular octagon that has a distance from its center to any of its vertices of 10 inches would be 61.2 inches.

A polygon is a closed figure made up of three or more line segments connected end to end.

First, we draw a segment from O perpendicular to AB forming a right triangle.

Let say the point of intersection J.

∠HAB = (8 - 2)180/8

          = 135

∠BAO = 135/2

           = 67.5

AJ/10 = cos 67.5

AJ = 10 cos 67.5

AB = 2(10 cos 67.5)

Perimeter = 8(AB)

               = 8(2)(10 cos 67.5)

               = 61.2 in.

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Answer:

Turkey, country that occupies a unique geographic position, lying partly in Asia and partly in Europe. Throughout its history it has acted as both a barrier and a bridge between the two continents

Step-by-step explanation:

Answer:

Answer:

21/18 which simplifies to 7/6

Step-by-step explanation:

Answer: t=-8

Step-by-step explanation:

1/2t-4(2+t)=20 then multiplied by two so t-16-8t=40 -7t=56 then divide -7 by 56 and you will get your answer t=-8

Answer:

A

Step-by-step explanation:

Tangents that are both tangent to a same point equal each other. sk

[tex]2x + 70 = 128[/tex]

[tex]2x = 58[/tex]

[tex]x = 29[/tex]

Answer:

x = 2

Step-by-step explanation:

[tex] log_{3}x(x+ 30) = log_{3}64 \\ x(x + 30) = 64 \\ {x}^{2} + 30x - 64 = 0 \\ x = 2 \: or \: x = - 32[/tex]

-32 is rejected because in logarithms you cannot use negative value so x=2

Answer:

[tex]m=7\frac{5}{16}[/tex]

Step-by-step explanation:

[tex]\frac{1}{9}(2m - 16)=\frac{1}{3}(2m + 4)[/tex]

[tex]\frac{2}{9}m - 1\frac{7}{9} =\frac{2}{3}m+ 1\frac{1}{3}[/tex]

[tex]\frac{2}{9}m - 1\frac{7}{9} -1\frac{1}{3} =\frac{2}{3}m+ 1\frac{1}{3}-1\frac{1}{3}[/tex]

[tex]\frac{2}{9}m - 3\frac{1}{9} =\frac{2}{3}m[/tex]

[tex]\frac{2}{3}m-\frac{2}{9}m= \frac{2}{9}m -\frac{2}{9}m - 3\frac{1}{9}[/tex]

[tex]\frac{4}{9}m= - 3\frac{1}{9}[/tex]

[tex]\frac{4}{9}m/\frac{4}{9} = - 3\frac{1}{9}/\frac{4}{9}[/tex]

[tex]m=7\frac{5}{16}[/tex]

Answers:

===========================================

Explanations:

Answer:

8

Step-by-step explanation:

7779.949783~7779.94978

Answer:

The missing digit is 8

Step-by-step explanation:

An educated guess, but i'm pretty sure it's right

Answer:

v = 16

Step-by-step explanation:

p = 8/v and p = 1/2.  Equating these two, we get 8/v = 1/2.

Inverting both sides, we get v/8 = 2.

Find the vaue of v by multiplying both sides by 8:  v = 16

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can assign variables as:

d  = original breaking distance

b  = original speed of the vehicle

d′  = increased breaking distance

b′  = increased speed of the vehicle

We can look at it this way, originally it was like this:

d=kb2  

Now, if we increase the speed to b’ which 200% more than b, we will have

d′=k(b′)2  

d′=k(b+2b)2  

d′=k(3b)2  

d′=9kb2  

Obtaining the difference between d and d’, we have

d′−d=9kb2−kb2  

d′−d=8kb2  

in terms of d

d′−d=8(kb2)  

d′−d=8d  

Adding d on both sides of the equation,

d′=d+8d  

Which means the original breaking distance is increased by 800%. This is similar to the phrase “the speed of the vehicle is increased by 200%” which translates to “b + 2b”.

Hope this answer helps you :)

Have a great day

Mark brainliest

There is a 100% increase in the braking distance after 50% increase in speed.

A body is said to be of speed v m/s if it travels v meter per second.

The braking distance of a car is directly proportional to the velocity of its speed(v m/s)

When the speed of the car is increased by 50% then the speed of the car v m/s becomes (3v/2) m/s.

The braking distance of a car is directly proportional to the square of its speed hence, the braking distance becomes

v²c where c is some constant.

So, the braking distance after 50% of the car speed is increased becomes  (3v/2)²c₁, where c₁ is some constant.

Hence, the percentage change in the car's braking distance is

[tex]\frac{\frac{9}{4}-\frac{3}{2}}{\frac{3}{2}}[/tex]

[tex]=\frac{\frac{9-6}{4}}{\frac{3}{2}}\\=1[/tex]

That means there is a 100% increase in the braking distance after 50% increase in speed.

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Answer:

x = 25

Step-by-step explanation:

The two angles form a straight line which is 180 degrees

2x+10 + 4x+20 = 180

Combine like terms

6x+30 = 180

Subtract 30 from each side

6x+30-30 = 180-30

6x = 150

Divide by 6

6x/6 = 150/6

x=25

Answer:second number lone wants to eat first so 2<1

Step-by-step explanation:

-1<1

Answer:

30°

Step-by-step explanation:

because the sum of all interior angles in a triangle is 180 degrees

180°= ∡ADE+∡DAE+∡AED

∡ADE = 180°-∡DAE -∡AED

because the diagonals are perpendicular so they form 90° angles, and ∡BRC≅∡AED(vertical angles)

∡AED =90

To find ∡DAE we need to find the value of y

11y+2  =90

11y =90-2

y=88/11

y=8

∡DAE=7y+4=7 ·8 +4= 56+4 =60°

now we know what we need to find ∡ADE

∡ADE = 180°-∡DAE -∡AED

∡ADE = 180°-60° -90°

∡ADE = 30°

9514 1404 393

Answer:

  a) see attached

  b) 1/3

Step-by-step explanation:

Your grid doesn't come with any coordinate axes, so you will need to draw those and label them. You will also need to determine the number of grid squares for each unit. (I suggest 2 grid squares per unit to give you a little more distance between the points you plot. The attachment shows 5 small squares per unit. You may not have this much space on your graph.)

Plot the points. Once you do this, you can see that their horizontal difference is 3 units and their vertical difference is 1 unit. The right point is above the left point, so the slope is positive:

  m = (rise)/(run) = 1/3 . . . slope of the line

Answer:

The negative sign is put before numbers to make them negative, or make their signs the opposite of what the are.

You have a 20.

+ 20

You don't need to put the + there if there is nothing before it, but that is a positive 20.

If you put a negative in front of it;

- (+ 20) = - 20

If you have a negative in front of parenthesis;

50 - (2x - 20)

50 - 2x + 20

70 - 2x

Answer:

b = v

Step-by-step explanation:

3b = 6v – 3b

Add 3b to each side

3b+3b = 6v – 3b+3b

6b = 6v

Divide by 6

6b/6 = 6v/6

b = v

Answer:

x = 17/3

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(5+4) * 4 = x^2

9*4 = x^2

36 = x^2

Taking the square root of each side

6 =x

Answer:

d-6

Step-by-step explanation:

Answer:

x = −14 or x = −4

Step-by-step explanation:

Answer:

wait

Step-by-step explanation:

 =  1 4

 =  −  4

Answer:

x = 63.8°

Step-by-step explanation:

[tex]tan x = \frac{opposite}{adjacent} \\\\tan x = \frac{5.9}{2.9}\\\\x= tan^{-1} (\frac{59}{29})\\\\x = 63.82 = 63.8[/tex]

The measure of the angle [x] is equivalent to 26.6°.

Given is a triangle ΔPON as shown in the image.

From the triangle ΔPON, we can write -

tan (x°) = ON/OP

tan (x°) = (5.9/2.9)

tan (x°) = (59/29)

tan (x°) = 2.1

x° = tan⁻¹ (2.1)

x° = 26.6°

Therefore, the measure of the angle [x] is equivalent to 26.6°.

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Answer:

∠ BOC = 40°

Step-by-step explanation:

∠ AOC = 90° , then

5x + 2x + 20 = 90

7x + 20 = 90 ( subtract 20 from both sides )

7x = 70 ( divide both sides by 7 )

x = 10

Then

∠ BOC = 2x + 20 = 2(10) + 20 = 20 + 20 = 40°

Step-by-step explanation:

Circumference is

2 x pi x r

r= 1

plug and chug

Answer:

x = 14

4x = 56

3x - 8 = 34

Step-by-step explanation:

(4x) + (3x -8) = 90

7x + (-8) = 90

7x - 8 = 90

7x (- 8 + 8) = 90 + 8

7x = 98

7x/7 = 98/7

x = 14

4 x 14 = 56

3 x 14 = 42 - 8 = 34

56 + 34 = 90

Answer:

[tex]A = 43.0^o[/tex]

[tex]B = 55.0^o[/tex]

[tex]BC = 20.0[/tex]

Step-by-step explanation:

I will solve this question with the attached triangle

From the attachment, we have:

[tex]\angle C =82^o[/tex]

[tex]AB = 29[/tex]

[tex]AC = 24[/tex]

Required

Solve the triangle

First, we calculate [tex]\angle B[/tex] using sine law:

[tex]\frac{AC}{\sin(B)} = \frac{AB}{\sin(C)}[/tex]

This gives:

[tex]\frac{24}{\sin(B)} = \frac{29}{\sin(82^o)}[/tex]

[tex]\frac{24}{\sin(B)} = \frac{29}{0.9903}[/tex]

Cross multiply

[tex]\sin(B) * 29 = 24 * 0.9903[/tex]

[tex]\sin(B) * 29 = 23.7672[/tex]

Divide both sides by 29

[tex]\sin(B) = 0.8196[/tex]

Take arcsin of both sides

[tex]B = \sin^{-1}(0.8196)[/tex]

[tex]B = 55.0^o[/tex]

Next, calculate [tex]\angle A[/tex] using:

[tex]A + B + C = 180^o[/tex] --- angles in a triangle

[tex]A + 55^o + 82^o = 180^o[/tex]

Collect like terms

[tex]A = 180^o-55.0^o - 82^o[/tex]

[tex]A = 43.0^o[/tex]

Next, calculate BC using sine laws

[tex]\frac{BC}{\sin(A)} = \frac{AB}{\sin(C)}[/tex]

This gives:

[tex]\frac{BC}{\sin(43.0)} = \frac{29}{\sin(82)}[/tex]

[tex]\frac{BC}{0.6820} = \frac{29}{0.9903}[/tex]

Make BC the subject

[tex]BC = \frac{29*0.6820}{0.9903}[/tex]

[tex]BC = 20.0[/tex]

Answer:

B 41.4

Step-by-step explanation:

complete Pythagoras for general triangles :

c² = a² + b² - 2ab×cos(C)

with "c" being the side opposite of the angle C.

=>

8² = 10² + 12² - 2×10×12×cos(C)

64 = 244 - 240×cos(C)

240×cos(C) = 244 - 64 = 180

cos(C) = 180/240 = 18/24 = 3/4 = 0.75

C = 41.40962211... ≈ 41.4

Answer:

vertical opposite angle

vertical opposite angle

vertical opposite angle

Answer: vertical

Step-by-step explanation: :)

Answer:

$11,200

Step-by-step explanation:

Just multiply the percent times the total

8% * 140000 = .08 * 140000 = 11200