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.

Answers

Answer 1

Answer:

The circumference of the back wheel is 2.62 inches

Step-by-step explanation:

Given

[tex]d_1 = 5in[/tex] --- diameter of front wheel

[tex]d_1 : d_2 = 3:1[/tex] --- ratio of the diameters

Required

The circumference of the back wheel

First, we calculate the diameter of the back wheel.

We have:

[tex]d_1 : d_2 = 3:1[/tex]

Substitute: [tex]d_1 = 5in[/tex]

[tex]5in: d_2 = 3 : 1[/tex]

Express as fraction

[tex]\frac{d_2}{5in} = \frac{1}{3}[/tex]

Make [tex]d_2[/tex] the subject

[tex]d_2 =5in * \frac{1}{3}[/tex]

[tex]d_2 = \frac{5}{3}\ in[/tex]

So, the circumference (C) of the back wheel is:

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

[tex]C = 3.14 * \frac{5}{6}\ in[/tex]

[tex]C = \frac{3.14 * 5}{6}\ in[/tex]

[tex]C = \frac{15.7}{6}\ in[/tex]

[tex]C = 2.62\ in[/tex]


Related Questions






Help





Will




Give




Brainlist

Answers

Answer:

3.14 million

Step-by-step explanation:

10.676 - 7.536 = 3.14

To check

7.536 + 3.14 = 10.676

Answer:

3.14 million is the correct answer

express 42 base 7 in base 10​

Answers

Answer:

correct 42 in bsae 10 is 60

Write an equation that you could use to solve for X.

Answers

THE CORRECT EQUATION IS..

(8X+3)°=(7X+12)°

[BEING VERTICALLY OPPOSITE ANGLES ARE ALWAYS EQUAL ]

HOPE THIS HELPS YOU...

Answer:

8x + 3 = 7x + 12

8x -7x= 12-3

x=9

petit high school has one thousand two hundred and fifty-two learners.the number of girls is three times more than the number of boys.how many girls are at petit high school​

Answers

Answer:

939 girls

Step-by-step explanation:

Let us start by writing an equation. We can set the number of boys as x, and the number of girls as 3x since the number of girls is three times the number of boys:

Step 1, writing an equation:

[tex]1252=3x+x[/tex]

We will assume in this case, that the number of girls plus the number of boys adds up to the total number of learners at Petit High School

Step 2, solving the equation:

We can simplify the above equation and isolate the term containing x.

[tex]1252=4x\\x=313[/tex]

Step 3, determining values:

We know that we set # of boys as x and we have just solved for x. Therefore, there are 313 boys in the high school. We have set # of girls as 3x, so [tex]3*313=939[/tex] girls in the high school

There are [tex]\fbox{939}[/tex] girls at Petit High School.

I hope this helps! Let me know if you have any questions :)

31/24 menos 5/8 cuanto es?

Answers

Answer:

31/24 menos 5/8 cuanto es 2/3

Step-by-step explanation:

=31/24- 5/8

=31-15/24

= 16/24

=2/3

Hence the final answer is 2/3

Need answer to this maths question plssss

Answers

Answer:

The fourth angles is 105

Step-by-step explanation:

The sum of the angles of a quadrilateral is 360

3*85 = 225

Let the fourth angle be x

225 +x = 360

x = 360 -225

x =105

Alt Test 7 -6 -5 -4 -3 -2 -1 2 3 1 Le 6 N . 1 -Z -3 -4 รา -6 In this graph, the y-intercept of the line is The equation of the line is y= y X​

Answers

Answer:

[tex]{ \tt{y = y {}^{x} }} \\ y - intercept : { \tt{y = {y}^{0} }} \\y = 1[/tex]

(a+b)(a-b)=? Đây là hằng đẳng thức nào?

Answers

Answer:

không

Step-by-step explanation:

Answer:

(a + b)(a - b) = a² - b²

Step-by-step explanation:

(a + b)(a - b) = a (a - b ) + b (a - b )

                 = a²  - ab + ba  - b²             [ ab = ba ]

                 = a² - ab + ab - b²               [ ab - ab = 0 ]

                 = a² - b²

Simplify fully
a) 8c²d^5 ÷ 2c³d³
b) 9a³b^5 ÷ 3ab²

Answers

Answer:

A) 8d^2/3c

B) 3a^2b^3

Step-by-step explanation:

Answer:

Step-by-step explanation:

In exponent division, if base are same , subtract the exponents.

[tex]\frac{a^{m}}{a^{n}}=a^{m-n} , m>n\\\\ \frac{a^{m}}{a^{n}}= \frac{1}{a^{n-m}}, m<n[/tex]

a) 8c²d⁵ ÷ 2c³d³ = [tex]\frac{8}{2}* \frac{d^{5-3}}{c^{3-2}}= 4*\frac{d^{2}}{c}= \frac{4d^{2}}{c}[/tex]

b) 9a³b⁵ ÷ 3ab² = [tex]\frac{9}{3}* a^{3-1}*b^{5-2} = 3a^{2}b^{3}[/tex]

Sketch the graph of y = (x + 3)2 – 4 and identify the axis of symmetry.

Answers

Answer: Thought I’d return the favor and help u with this question! But anyways, the axis of symmetry is at x = -3.

Explanatio: This can be found by looking at the basic form of vertex form:

y = (x - h)^2 + k

In this basic form the vertex is (h, k). By looking at what is plugged into the equation, it is clear that h = -3 and k = -4. This means the vertex is at (-3, -4).

It is a fact that the axis of symmetry is a vertical line of x = (vertex value of x). So we can determine that the axis of symmetry is at x = -3

i hope this helps u

Shem will select a letter at random from the word “PROBABILITY”. Japhet will select a letter at random from the word “STATISTICS”. Who is more likely to pick the letter “I”?

Answers

Answer:

The answer to this situation would be that Japhet will be most likely to pick the letter “I.”

Step-by-step explanation:

First, calculate how many letters each word has:

P R O B A B I L I T Y - 11 Letters

S T A T I S T I C S - 10 Letters

Next, calculate how many “I”'s each letter has:

"Probability" has two “I”'s.

"Statistics" has two “I”'s.

Finally, divide the amount of “I”'s in the word by it's letter count:

"PROBABILITY" - 2 “I”'s / 11 Letters ≈ 18%

"STATISTICS" - 2 “I”'s / 10 Letters = 20%

So, Japhet would have the better probability to choose the letter “I.”

Hope this helps!

I need help ASAP. Will give Brainliest.

Answers

Answer:

4,5

Step-by-step explanation:

Your welcome! :)

Good Luck!

Answer:

B is 4 and A is 5 --> 4,5

Step-by-step explanation:

Which number is the EXPONENT? 4^2 = 16 *

Answers

Answer: 4

Step-by-step explanation:

The exponent in the given number [tex]4^{2}=16[/tex] is  2.

What is exponent?

An exponent refers to the number of times a number is multiplied by itself.

For example, [tex]3^{4}[/tex] means we are multiplying 3 four times. Here the base is 3 and exponent is 4.

According to the question

We have a number

[tex]4^{2} =16[/tex]

Here, we are multiplying 4 two times. So, the base is 4 and the exponent is 2.

Hence, the exponent in the given number [tex]4^{2}=16[/tex] is  2.

Learn more about the exponent here:

https://brainly.com/question/5497425

#SPJ2

The average temperature of Kopikoville was reported to be - 23° last year. This year, the average temperature of Kopikoville rose by 6°. Which of the following is true about this year's average temperature of Kopikoville? A. This year's average temperature of Kopikoville is - 29°. B. This year's average temperature of Kopikoville is - 17°. C. This year's average temperature of Kopikoville is 17°.

Answers

B. -17°. -23+6 is like 23-6 which is 17

plsssssssssssss help

Answers

Answer:

SSS (Side side side)

Step-by-step explanation:

NEED HELP WITH THIS PLEASE. Just show me how please.

Answers

Given:

The quadratic equation is:

[tex]-5x^2-3x-2=0[/tex]

To find:

The discriminant of the given equation and the number of real solutions.

Solution:

If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then the value of discriminant is:

[tex]D=b^2-4ac[/tex]

If D<0, then the quadratic equation has no real roots or two imaginary roots.

If D=0, then the quadratic equation has two equal real roots.

If D>0, then the quadratic equation has two distinct real roots.

We have,

[tex]-5x^2-3x-2=0[/tex]

Here, [tex]a=-5,b=-3,c=-2[/tex]. So, the discriminant of the given equation is:

[tex]D=(-3)^2-4(-5)(-2)[/tex]

[tex]D=9-40[/tex]

[tex]D=-31[/tex]

Since D<0, therefore the number of real solutions is 0.

Hence, the value of the discriminant is -31 and the number of real solutions is 0.

Simplify........................​

Answers

Answer:

The answer is 3.

[tex]\longrightarrow{\purple{3}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \frac{(6a + b)(a + b) - 7b(a + b)}{2 {a}^{2} - 2 {b}^{2} } [/tex]

[tex] \\= \frac{(a + b)(6a + b - 7b)}{2( {a}^{2} - {b}^{2}) } [/tex]

[tex] \\= \frac{(a + b)(6a + b - 7b)}{2(a + b)(a - b)} [/tex]

[tex] \\= \frac{6a - 6b}{2(a - b)} [/tex]

[tex] \\= \frac{6(a - b)}{2(a - b)} [/tex]

[tex] \\= 3[/tex]

( OR )

[tex] \frac{(6a + b)(a + b) - 7b(a + b)}{2 {a}^{2} - 2 {b}^{2} } [/tex]

[tex] \\= \frac{6 {a}^{2} + 6ab + ab + {b}^{2} - 7ab - 7 {b}^{2} }{2( {a}^{2} - {b}^{2} )} [/tex]

[tex] \\= \frac{6 {a}^{2} - 6 {b}^{2} + 7ab - 7ab }{2( {a}^{2} - {b}^{2} )} [/tex]

[tex] \\= \frac{6 {a}^{2} - 6 {b}^{2} }{2( {a}^{2} - {b}^{2} )} [/tex]

[tex] \\= \frac{6( {a}^{2} - {b}^{2} )}{2( {a}^{2} - {b}^{2} )} [/tex]

[tex] \\= \frac{6}{2} [/tex]

[tex] \\= 3[/tex]

Note:

[tex] {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex]

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♬}}}}}[/tex]

The length of the missing sides

Answers

Answer:

length-14cm width-7cm

Step-by-step explanation:

To work out the sides, you can use 2l+2w=42. Since the length is twice the width, this becomes 2(2w)+2w=42.

This can be expanded to 4w+2w=42 or 6w=42.

From there, we can divide both sides by 6 to isolate w, meaning w=7.

Since the length is twice the width, it is given by l=2×7 or l=14.

**This question involves writing and solving algebraic equations from worded questions, which you may wish to revise. I'm always happy to help!

The blue dot is at what value on the number line? ​

Answers

Answer:

The blue dot is at 3.

Select the correct answer from the drop-down menu. A vertical pole is supported by two ropes staked to the ground on opposite sides of the pole. One rope is 8 meters long, and the other is 7 meters. The distance between the stakes is 6 meters, and the height of the pole is meters.

Answers

Answer:

6.78 m

Step-by-step explanation:

Since the set up forms a triangle with length of ropes two sides of the triangle a = 8 m and b = 7 m respectively, the distance between them which is c = 6 m forms the third side of the triangle.

To find the height of the pole, we need to find the angle between any of the ropes and the ground. So, choosing the 8 m long rope side and using the cosine rule,

b² = a² + c² - 2accosФ where Ф is the angle opposite the 7 m long side which is also the angle between the 8 m long side and the ground.

So, making, Ф subject of the formula, we have

b² - (a² + c²) = 2accosФ

cosФ = [b² - (a² + c²)]/2ac

Ф = cos⁻¹{[b² - (a² + c²)]/2ac}

substituting the values of the variables into the equation, we have

Ф = cos⁻¹{[b² - (a² + c²)]/2ac}

Ф = cos⁻¹{[7² - (8² + 6²)]/2(8)(6)}

Ф = cos⁻¹{[49 - (64 + 36)]/96}

Ф = cos⁻¹{[49 - 100]/96}

Ф = cos⁻¹{-51/96}

Ф = cos⁻¹{-0.53125}

Ф = 122.09°

Since the height of the pole, h is a perpendicular bisector to the base of the triangle, and the 8 m long side form a triangle with it and the ground and the 8 m long side being the hypotenuse side of this triangle, we have that

sinФ = h/a where a = 8 m and Ф = 122.09° = the angle between the 8 m long side and the ground.

h = asinФ

substituting the values of the variables into the equation, we have

h = asinФ

h = (8 m)sin122.09°

h = 8 m × 0.8472

h = 6.78 m

what are 2 consecutive odd integers whose sum is 36.

Answers

Two consecutive odd integers with a sum of 36 are 17 and 19.

Hope it helps you I'm from ph❤️

Answer:

Two consecutive odd integers with a sum of 36 are 17 and 19.

Step-by-step explanation:

hope i helped

If x= 3 what is the value of 50 - 2x?

Answers

50 - 2x; x = 3

____________________

50 - 2(3)

= 50 - 6

= 44

50-2(3)

50-6=44

Answer :

44

Consider the quadratic function that has x-intercepts of–1 and –7 and passes through the point (-2,-20). What is the
value of a in the factored form of this function?
1, 2,3,4?

Answers

Short Answer: a = 4
Remark: How did this escape deletion?

Step One
Set up the factored equation with a constant to solve the constant effecting all parts of the quadratic.

The roots are -7 and -1
The factors are (x + 7)(x + 1)

Step two
Write the equation
y = a*(x +7)(x + 1)

Step three
Solve for a. Use (-2,-20)
y = -20
x = -2

-20 = a(-2 + 7)(-2 + 1)
-20 = a (5)(-1)
-20 = -5a Divide by -5
a = -20/-5
a = 4

Step 4.
Write the equation with a
y = 4(x + 7)(x + 1)

a = 4

What is the point of intersection to the system below?
2x - 3y = 5
3x +3y = 5

Answers

Answer:

Solution: {x = 2, y = -1/3}

Step-by-step explanation:

On observation, we see that the y-terms are equal and opposite in sign, therefore to solve the system, we add the two equations.

2x-3y = 5 ..........(1)

3x+3y = 5............(2)

(1) + (2)

2x - 3y + 3x + 3y = 5+5

5x = 10

x = 2 .......(3)

Substitute (3) in (2) and solve for x

3x+3y = 5 .....(2)

3(2) + 3y = 5

3y = 5-6 = -1

y = -1/3  .......(4)

assemble (3) and (4) to give the answer

Solution: {x = 2, y = -1/3}

Navin gave his brother 1/5 of his money and her sister 5/8 of the remainder. Navin remained with $12.00 (a) Calculate how much money he had at first.

Answers

Answer:

$40

Step-by-step explanation:

Fraction Navin gave his brother = 1/5

Remainder = 1 - 1/5

5/5 - 1/5 = 4/5

Fraction Navin gave his sister = 4/5 x 5/8 = 1/2

total amount Navin gave his siblings :

[tex]\frac{1}{5} + \frac{1}{2}[/tex]

[tex]\frac{2 + 5}{10}[/tex] = [tex]\frac{7}{10}[/tex]

Fraction that remains = 1 - 7/10

10/10 - 7/10 = 3/10

Let a = amount Navin has initially

3/10 x a = 12

a = (12 x 10) / 2  = $40

The length of the base of an isosceles triangle is x. The length of a leg is 3x-4. The perimeter of the triangle is 97. Find x.

Answers

Answer:

x = 15

Step-by-step explanation:

Given that,

The length of the base of an isosceles triangle is x.

The length of a leg is 3x-4.

Perimeter, P = 97

An isosceles triangle has one base. The perimeter of a triangle is given by :

97=x+3x-4+3x-4

97 = 7x-8

97+8=7x

105 = 7x

x = 15

So, the value of x is 15.

7. The Waltz family are planning to repave their driveway. The length of their driveway is 7 feet
longer than its width. The area of the driveway is 144 square feet. Write a quadratic equation in
standard form representing the area of the driveway.
Find the dimensions of the driveway in feet.
Width
Length =

Answers

Answer:

Dimensions Of The Driveway is Length=16 Feet & Width=9 Feet

Step-by-step explanation:

According To Question,We Have Given

Length of Driveway Is 7 feet longer than its Width

Let the Width be X Feet . So Length is (X+7)Feet

Area Of Driveway = 144 sq. Feet

X * (X+7) = 144

[tex]X^{2}[/tex]+7X=144

[tex]X^{2}[/tex]+16X-9X-144=0

X(X+16)-9(X+16)=0

X = -16 & +9 (Neglect -16 because Width=X, that Can Never be in Negative)

So X = +9

Now Put this value, We get Width = 9 Feet & Length =16 Feet

How do you get 21/2?

Answers

Answer:

10 1/2

Step-by-step explanation:

/ = divide

21 divided by 2 is 10 remainder 1 ~ 10 1/2 as a mixed number

21/2 as a improper fraction

Please don't troll!!!!!!!

Answers

Answer:

Ben = $ 41

Kaden = $ 31

Step-by-step explanation:

Let initially Ben has $ p and then Kaden has $ (p  - 10).

After that

Ben has= $ (p + 4)

Kaden has = $ (p- 10 + 4) = $ ( p - 6)

According to the question,

[tex]p- 6 = \frac{7}{9}\times (p+4)\\\\9 p- 54 = 7 p + 28 \\\\2 p = 82\\\\p =41[/tex]

Initially Ben has $ 41 and Kaden has $ 31.  


Write the equation of the line that passes through
the points (-1, 2) and (63) in slope-intercept form.
Step 1: Choose (21. Y1).

Answers

Answer:

y=63x+65

Step-by-step explanation:

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