ABC was dilated to create A' B' C'. What is the center of dilation? And what is the scale factor of the dilation?

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Explanation:

Let's find the circumference

C = 2*pi*r

C = 2*pi*30

C = 60pi

This is the exact circumference in terms of pi.

In one revolution, the point on the wheel moves forward exactly 60pi cm.

In a sense, it's "speed" is 60pi cm per revolution.

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Let's convert that speed to meters per minute as shown in the diagram below (I'm using the railroad tracks method to convert).

Note the color coding to see how the units cancel. The goal is to get meters on top and minutes down below. Also note how the "pi" terms cancel since we have on top and one down below.

After the canceled stuff goes away, we multiply straight across.

Divide the results: 10800/200 = 54

The linear speed is 54 meters per minute

This speed is exact because the 60pi figure is the exact circumference

This is the speed the point on the wheel moves, and we can say that the car itself also moves at a linear speed of 54 meters per minute.

Side note: 54 meters per minute = 2.013 mph approximately, which is a fairly slow walking speed.

The answer is A. 2

Step-by-step explanation:

First let's simplify both sides of the equation

Now using the Subtraction Property of Equality subtract 5 from both sides

[tex]-7g+5-5=-9-5-7g=-14[/tex]

Now using the Division Property of Equality divide both sides by -7

Answer:

surface area is A≈394.08

not so sure about volume

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

1350 ×15 % by 100 = 81. 15 year = 1,215

Answer:

(Top to bottom) The third and the fifth.

Step-by-step explanation:

I feel lazy typing this so I'll just take a pic if you're curious about the process.

Answer:

The answer is below

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are acute, obtuse, scalene, isosceles, equilateral and right angled triangle.

Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is equal to the sum of the square of the remaining two sides.

The ramp has the form of a triangle. The height of the ramp is the vertical side of a triangle, the top of the frame is the hypotenuse while the length of the ramp is the base side of the triangle.

Let the hypotenuse be b Hence:

b² = 3² + 5²

b² = 9 + 25

b² = 34

b = 5.83 feet

Answer:C

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex](2x -3)(x-1) = 2x(x-1) -3(x-1)[/tex]

                     [tex]=2x^2 -2x -3x +3\\= 2x^2 - 5x + 3[/tex]

4^2 -2×3+6=16 is your answer

Answer:

Step-by-step explanation:

P means parenthesis, of which we have none. So we move to E, which is exponents, which we do have. So we start there:

[tex]4^2-2*3+6[/tex] becomes

16 - 2 * 3 + 6. Now we have to do multiplication/division in the order we come to it in the problem. That means multiplying 2*4 first:

16 - 6 + 6. Now we do addition/subtraction in the order we come to it in the problem:

16- 6 + 6 = 10 + 6 = 16

Answer:

Its just a slide 2 up and 3 to the right it seems. It can be a mirror because in never changes the shape. as of rules i dont understand want you need please comment and ill let you know

Step-by-step explanation:

It is not a rotation, a mirror a flip or anything like that i think its only slides.

I didnt se this before every slide counts as 2 so its 4 up and 6 to the right

Answer:

(3,2)

Step-by-step explanation:

the other three ordered pairs do not lie in the shaded region

Answer: 1%

Step-by-step explanation:

Answer:

x=29.9

Step-by-step explanation:

x=29.9

the first, (f+g)(x) is f(x) + g(x)

calculating it like:

x² + 7x + (8 -x²)

= x² + 7x + 8 -x²

= 7x + 8

you just writ it down as a calculation and calculate it. i hope that helps understanding the concept/basic idea. please let me know wich ones you need more help with.

edit1: the domain is the range of possibilities wich x we can plug into the new equation

You Have Passed Thy Test!!! BADAAAA (\•o•/)

Answer:

The value of x is 15 inch.

Step-by-step explanation:

Area, A = 81 square inch

Perimeter, P = 48 inch

let the side is y.

[tex]y^2 = 81\\\\y = 9 inch[/tex]

Let the other side is d.

P = 4 d = 48

d = 12 inch

the length x is given by

[tex]x^2 = 9^2 + 12^2\\\\x^2 =81 + 144 = 225\\\\x = 15 inch[/tex]

So, x = 15 inch.

Answer:

(105 | 35)

the x-component (how much to the side) is left, the y-component right (how high)

The ordered pair that best estimates the time and cost at which the two stores charge the same amount is (110,35).

A graph can be defined as a pictorial representation of statistical data in graphical form. The points on the graph often represents the relationship between two or more things. The points are plotted in x-axis and y-axis respectively.

For the given situation,

The graph shows the time in x-axis and cost in y-axis.

Ordered pairs are often used to represent two variables.

The number which corresponds to the value of x is called the x-coordinate and the number which corresponds to the value of y is called the y-coordinate.

From the graph, the point of intersection of x-axis and y-axis gives the the time and cost at which the two stores charge the same amount.

Thus the point of intersection is x at 110 and y at 35.

⇒ [tex](x,y)=(110,35)[/tex]

Hence we can conclude that the ordered pair that best estimates the time and cost at which the two stores charge the same amount is (110,35).

Learn more about graphs here

https://brainly.com/question/7563606

#SPJ2

Answer:

3r(1 + 2r)

Step-by-step explanation:

3r + 6r^2

take common

3r(1 + 2r)

Answer:

3r(1+2r2)

Step-by-step explanation:

Answer:

a1 = 2

a2 = 6 = 2.3 = a1.3

a3 = 18 = a1.3²

a4 = 54 = a1.3³

=> this is a geometric sequence with a1 = 2

q = 3

=> a11 = 2.3¹⁰ = 118098

Answer:

i cant understand your questions. can you reply me? i will have better answer

Answer: [tex]x=0.30714\dots +\pi n[/tex]

Step-by-step explanation:

[tex]\Rightarrow \tan3x-\tan x-1=0\\\\\Rightarrow \dfrac{3\tan x-\tan ^3x}{1-3\tan ^2x}-\tan x-1=0\\\\\Rightarrow 3\tan x-\tan ^3x+( 1-3\tan ^2x)(-1-\tan x)=0\\\Rightarrow 3\tan x-\tan ^3x-1-\tan x+3\tan ^2x+3\tan ^3 x=0\\\Rightarrow 2\tan ^3x+3\tan ^2x+2\tan x-1=0\\\Rightarrow \tan \left(x\right)\approx \:0.31718[/tex]

Answer:The dogs eat 3 7/8 pounds of food together each week.

Step-by-step explanation:

First dog eats eats 21/2 pounds of food each week

The second eats eats 1 3/8 pounds of food each week

In total the two dogs eat  

2 1/2  + 1 3/8  = 3 (4+3)/8

=3 7/8

The dogs eat 3 7/8 pounds of food together each week.

Answer:

manz I think u would need like a ruler or something

Answer:

0.78

used a calculator

Answer:

just put 5 on the place of x

Step-by-step explanation:

3(5)+2

15+2

17

hope it helps

Answer:

lets say f equals 1

x-2 = 3x

-2 = 2x

x=-1

1(-1)

-1