A​ penny-farthing is a bicycle with a very large front wheel and a much smaller back wheel.​ Penny-farthings were popular in the 1800s and were available in different sizes. Suppose the diameter of one particular​ penny-farthing's front wheel is inches and the ratio of the diameter of the front wheel to the diameter of the back wheel is ​:1. What is the circumference of the back​ wheel? Use 3.14 for. The circumference of the back wheel is nothing inches.

Answer:

q = 55

Step-by-step explanation:

      [tex]p\ \alpha\ \frac{1}q} \\\\p = k \times \frac{1}{q}\\\\22 = k \times \frac{1}{5}\\\\22 \times 5 = k\\\\k = 110\\\\[/tex]

Find q when p = 2

   [tex]p = k \times \frac{1}{q}\\\\2 = 110 \times \frac{1}{q}\\\\2 \times q = 110\\\\q = \frac{110}{2}\\\\q = 55[/tex]

Answer: [tex](-10,-4)[/tex]

Step-by-step explanation:

Given

The points joining line segment are (-10,2) and (-10,-5)

Using section formula, a point joining segment  [tex](x_1,y_1)\ \text{and}\ (x_2,y_2)[/tex] divides it in k:1  has coordinates

[tex]x=\dfrac{kx_2+1\cdot x_1}{k+1}[/tex], [tex]y=\dfrac{ky_2+y_1}{k+1}[/tex]

Ratio is 6:1

Coordinates are

[tex]\Rightarrow x=\dfrac{6(-10)+(-10)}{6+1}\\\\\Rightarrow x=-10[/tex]

[tex]\Rightarrow y=\dfrac{-5(6)+1(2)}{6+1}\\\\\Rightarrow y=\dfrac{-28}{7}\\\\\Rightarrow y=-4[/tex]

Thus, the coordinates are [tex](-10,-4)[/tex]

Answer:

Step 1: Set up a product of two ( ) where each will hold two terms. Step 2: Find the factors that go in the first positions. Step 3: Find the factors that go in the last positions. We need two numbers whose product is 9 and sum is 2.p explanation:

Answer:

A❤️✌️❤️✌️❤️Aaaaaa

Answer:

[tex]{ \tt{slope = \frac{7 - 1}{0 - ( - 2)} = 3 }} \\ \\ { \tt{y = mx + c}} \\ { \boxed{ \bf{y = 3x + 7}}}[/tex]

Answer:

0

9

-2

-23

Step-by-step explanation:

a function f(x) defines a y-value for any valid x-value.

that's why it is often written as y = f(x).

the inverse function of an original function just turns the question upside down.

now we want to see for a given y-value of the original function, what was the original x-value to get this y.

therefore we try to transform the original equation that calculates y out of x into one that calculates x out of y.

so, in our example

f(x) = y = -4x - 3

4x + y = -3

4x = -y - 3

x = (-y - 3) / 4

in order to keep the usual terminology with functions also for inverse functions, which are in the end nothing else than functions again, we then name the input variable "x" again, and the result "y".

so, the inverse function is therefore as a function of x

y = (-x - 3) / 4

for x = -3, y = (--3 - 3) / 4 = (3-3) / 4 = 0

when we have y for the inverse function looking for its corresponding x value, then we are investing the inverse function and come back to the original function.

so, for y=-3 of the inverse function that means x=-3 for the inverse inverse (or original) function looking for the y, which is then the x of the inverse function.

f(-3) = -4×-3 - 3 = 12 - 3 = 9 = x of the inverse function.

for x=5 of the inverse function, y = (-5-3)/4 = -8/4 = -2

for y=5 of the inverse function that means x=5 for the inverse inverse (or original) function looking for the y, which is then the x of the inverse function.

f(5) = -4×5 - 3 = -20 - 3 = -23 = x of the inverse function.

Answer:

d is the answer ✌sin ०=3000/3050

Aswer:

c represnt the function hope it helps you make me brainlest pls

Answer:

D

Step-by-step explanation:

We are given:

[tex]\displaystyle \sqrt{\sqrt[3]{2}}[/tex]

Recall the property:

[tex]\displaystyle \sqrt[b]{x}=x^{1/b}[/tex]

Hence:

[tex]\displaystyle \sqrt{\sqrt[3]{2}}=\sqrt{2^{1/3}}[/tex]

Using the same property:

[tex]\sqrt{2^{1/3}}=(2^{1/3})^{1/2}[/tex]

Recall the property:

[tex](x^a)^b=x^{ab}[/tex]

Hence, multiply:

[tex](2^{1/3})^{1/2}=2^{1/6}[/tex]

Therefore:

[tex]\displaystyle \sqrt{\sqrt[3]{2}}=2^{1/6}[/tex]

Our answer is D.

Answer:

The answer is [tex]2^{\frac{1}{6} }[/tex].

Step-by-step explanation:

To find which answer is equal to [tex]\sqrt{} \sqrt[3]{2}[/tex], start by simplifying [tex]\sqrt{} \sqrt[3]{2}[/tex]. The radical will simplify to [tex]\sqrt[6]{2}[/tex].

An easy way to determine which answer is correct, convert each of the numbers to decimal form.

For [tex]\sqrt[6]{2}[/tex], it will look like 1.122 in decimal form.

For [tex]2^{\frac{2}{3} }[/tex], it will look like 1.587 in decimal form.

For [tex]2^{\frac{3}{2} }[/tex], it will look like 2.828 in decimal form.

For [tex]2^{\frac{1}{3} }[/tex], it will look like 1.260 in decimal form.

For [tex]2^{\frac{1}{6} }[/tex], it will look like 1.122 in decimal form.

Then, by seeing which two decimal forms are the same, it causes the answer to be [tex]2^{\frac{1}{6} }[/tex].

Answer:

[tex]y=1[/tex]

Step-by-step explanation:

Given:

[tex]6=2(y+2)[/tex]

Distribute the parenthesis

[tex]6=2y+4[/tex]

Subtract both sides by 4

[tex]2=2y[/tex]

Divide both sides by 2 to get [tex]y[/tex] alone

[tex]1=y[/tex]

Hope this is helpful

√9 is rational and √3 irrational number

Answer: Answer C , Only student 2, because dilation preserve angle measures and side lengths are proportional

The true statement is only student 2, because dilations preserve angle measures and side lengths are proportional.

Transformation of geometrical figures or points is the manipulation of a given figure to some other way.

Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.

Dilation is a type of transformation where the figure is enlarged or made smaller such that it preserves the shape but not size.

In Reflection the figure is flipped. In other words, a figure when undergoes reflection becomes it's mirror image.

Dilation preserves the angle measures, so the triangles will be similar.

Reflection, on the other hand, will result in congruent triangles.

Student 1 said that  Reflect △ABC across the y-axis and then dilate it by a scale factor of 1 with the center of dilation at the origin.

If the scale factor is 1, then the dilated image will be the same as the original image.

So the resulting triangle will be congruent to the original triangle.

In the case of what student 2 said, scale factor is 2. Triangle is enlarged.

So the resulting image will be similar to the original one.

Hence student 2 is correct.

Learn more about Transformations here :

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Answer:

the second option

yes, because they are similar triangles

Step-by-step explanation:

the scaling factor is 3

3×3 = 9

3×7 = 21

so, the ratios of the sides remain the same, and the 90 degree angle remains the same. therefore, just one triangle is larger than the other, but the relative attributes and even the orientation are the same, so yes, since we don't know the absolute coordinates of the corners, indeed, the Hypotenuse of both triangles could be on the same line.

Answer:

During a canoeing trip, it takes Raymond 4 hours to paddle 12 miles upstream. It takes him 3 hours to make the return trip paddling downstream. Find the speed of the canoe in still water

Step-by-step explanation:

sorry i dont know

Answer:

y = 45

Step-by-step explanation:

y = 9x

input = 5

y = 9(5)

9(5) = 45

y = 45

Answer:

11

Step-by-step explanation:

mode is the number that is most frequent

11

Answer:

11

Step-by-step explanation:

Mode means the highest repeated observation in the data set,

Therefore Mode = 11, as 11 has repeated 3 times, the most in the data set

Answer:

x = + 5/4 or x = - 5/4

Step-by-step explanation:

[tex]4 x^2 = 6\frac{1}{4}\\\\4 x^2 = \frac{25}{4}\\\\x^2 =\frac{25}{16}\\\\x = \pm \frac{5}{4}[/tex]

Answer:

42 in binary number is 101010.

53,38

Step-by-step explanation:

x = √15² + 8²

x = √225 + 64

x = √289

x = 17

circle's circumference = π × d

3,14 × 17 = 53,38

Answer:245

Step-by-step explanation:

Answer: 20 nickels to make $2.00

Step-by-step explanation:

Answer:

5x = 200

x=40

Step-by-step explanation:

Answer:

[tex](2,4)[/tex]

Step-by-step explanation:

Hope it is helpful...

--Answer--

negative integer

--Explanation--

28 - 45 = -17; the number subtracting is greater than the original number.

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

Explanation:

Every point on the line y = 7 has a y coordinate of 7. Two such points are (0,7) and (1,7). The x coordinate can be anything you want. This line is completely horizontal and parallel to the x axis.

We can think of y = 7 as y = 0x+7. It's of the form y = mx+b with m = 0 as the slope and b = 7 as the y intercept.

Answer: [tex]\$30,360[/tex]

Step-by-step explanation:

Given

Jed makes [tex]\$34,500[/tex] per year

After the loss of contract, a paycut of 12% is there

The amount after the paycut is

[tex]\Rightarrow 34,500(1-0.12)\\\Rightarrow 34,500\times 0.88\\\Rightarrow \$30,360[/tex]

Answer:

C: tan 60 = √3

Step-by-step explanation:

Let the adjacent part of the triangle be x and let the opposite side be y.

Thus, from trigonometric ratios;

x/10 = cos 60

We are given cos 60 = ½

Thus;

x/10 = ½

x = ½ × 10

x = 5

Similarly;

y/10 = sin 60

Now,from trigonometric relationship we know that; sin 60 = cos 30. Thus;

y/10 = cos 30

We are given cos 30 = (√3)/2

Thus;

y/10 = (√3)/2

y = 10 × (√3)/2

y = 5√3

Since it is a right angle triangle with one angle being 60°, it means the other one is 30° since sum of angles in a triangle is 180°.

Thus;

5/(5√3) = tan 30°

1/√3 = tan 30

Similarly;

5/10 = sin 60°

sin 60° = ½

Also;

tan 60 = (5√3)/5

tan 60 = √3

Also;

sin 30 = 5/10

sin 30 = ½

Looking at the options, the only correct one is Option C

Answer:

what are the choices?? if you don't mind me asking

The region D represents the solution of the given system of inequalities.

A system of linear inequalities is a collection of linear inequalities in the same variables.

According to the given equation.

We have system of inequalities.

[tex]y < \frac{-1}{2}x[/tex]

and [tex]y \geq 2x + 3[/tex]

Also, the graph of the inequalities.

Since, y is less than [tex]-\frac{1}{2} x[/tex] shade  below the line.

And, for the second inequality.

y is greater than and equal to 2x + 3 therefore, shade the above the line.

So, the common region D we get after the shading.

Hence, region D represents the solution of the given system of inequalities.

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-pi/4 is the same thing as 7pi/4.

The sine function will get us the y-value we need.

Keep in mind that our y-value will be negative (based on the position of the line), and pi/4 and 3pi/4 will both have positive y-values.

Therefore, the correct expression is sin(7pi/4).

Hope this helps!! :)

Answer:

15/8

Step-by-step explanation:

Applying

tanθ = Opposite(O)/Adjacent(A)

tanθ = O/A............ Equation 1

From the diagram,

To get the opposite(O), we apply pythagoras theorem

a² = b²+c²

Where c = opposite

17² = 8²+c²

289 = 64+c²

c² = 289-64

c² = 225

c = √225

c = 15

Substitute into equation 1

Therefore,

tanθ = 15/8

Hence the exact value of tanθ is 15/8

Answer:

1123.5714 kg C

Step-by-step explanation:

Given :

Miles traveled = 1.3 * 10^4 miles

Miles per gallon = 28 miles per Gallon

Carbon footprint per gallon = 2.42 kg C per gallon

The total gallons of gasoline used over the course of the year :

Total miles traveled / miles per gallon

1.3 * 10^4 / 28 = 464.28571 gallons

Carbon footprint per gallon = 2.42 kg C

Total carbon footprint of transportation :

2.42 kg C per gallon * 464.28571 gallons

= 1123.5714 kg C