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:
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]
Answer? Please ASAP I mark as brainlist please ASAP
Answer:
b. (x-3)(x+2)
Step-by-step explanation:
y=x^2-x-6
y=x^2-3x+2x-6
=x(x-3)+2(x-3)
=(x-3)(x+2)
WILL MARK BRAINLIEST!
given m(x)= 2x-9 and p(x)=4x+8
What is (m+p)(x)
Answer:
6x-1
Step-by-step explanation:
m(x)= 2x-9
p(x)= 4x+8
(m+p)(x) = 2x-9+4x+8
= 6x-1
In ΔXYZ, x = 71 cm, y = 91 cm and z=71 cm. Find the area of ΔXYZ to the nearest square centimeter.
Answer:
2479.95
Step-by-step explanation:
i worked out that guys problem who wouldnt work it out for you.
find the area of the polygon.
( help please )
Answer:
The area of the polygon will be 8 unit square.
If you draw lines from each point you will find 6 squares and 4 triangles. Since area of triangle is half than that of square, you can count two traingles to be equal of a square.
Find the second number
[tex]\huge\bold{Given :}[/tex]
Product of two numbers = 1.875
One of the number = 2.5
[tex]\huge\bold{To\:find :}[/tex]
The second number.
[tex]\huge\bold{Solution :}[/tex]
[tex]\sf\blue{The \:second\:number \:is\:0.75 .}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
Let the second number be [tex]x[/tex].
As per the question, we have
[tex]Product \: \: of \: \: the \: \: two \: \: numbers = 1.875 [/tex]
[tex]⇢ \: 2.5 \times x = 1.875[/tex]
[tex]⇢x = \frac{1.875}{2.5} [/tex]
[tex]⇢x = 0.75[/tex]
[tex]\sf\purple{Therefore,\:the\:second\:number\:is\:0.75.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex]2.5 \times x = 1.875[/tex]
[tex]➪ \: 2.5 \times 0.75 = 1.875[/tex]
[tex]➪ \: 1.875 = 1.875[/tex]
➪ L. H. S. = R. H. S.
Hence verified.
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}[/tex]
Which polynomials are in standard forms?
Choose all answers that apply:
A. T^4 - 1
B. -2t^2 + 3t -+ 4
C. 4t - 7
D. None of the above
Answer:
B. -2t^2 + 3t - +4 is the answer.
Is this statement true or false?
A down payment is paid before you begin monthly payments.
true
false
Answer:
True
Step-by-step explanation:
A down payment is mostly for deposit reasons with insurance. It also let's the landlord know you will be moving in soon. They will use that money for repairs when you move out. You have a chance of getting it pack if they find no damages :D
I need to find the value of x and the measure of the exterior angle
Given:
In a right angle triangle, the measure of exterior angle is [tex](9x+16)^\circ[/tex].
The measure of opposite interior angle is [tex](5x-14)^\circ[/tex].
To find:
The value of x.
Solution:
Exterior angle theorem: In a triangle the measure of an exterior angle is equal to the measure of sum of two interior angles.
Using exterior angle theorem, we get
[tex](9x+16)^\circ=90^\circ+(5x-14)^\circ[/tex]
[tex](9x+16)^\circ=(5x+76)^\circ[/tex]
[tex]9x+16=5x+76[/tex]
Isolate the variable x.
[tex]9x-5x=-16+76[/tex]
[tex]4x=60[/tex]
[tex]x=\dfrac{60}{4}[/tex]
[tex]x=15[/tex]
The value of x is 15. So, the measure of the exterior angle is:
[tex](9x+16)^\circ=(9(15)+16)^\circ[/tex]
[tex](9x+16)^\circ=(135+16)^\circ[/tex]
[tex](9x+16)^\circ=151^\circ[/tex]
Therefore, the value of x is 15 and the measure of the exterior angle is 151 degrees.
Given <2 and <4 are the vertical angels. Prove <2≅ <4
Answer:
Angle 2 = Angle 4 ( vertically opposite angles)
‼️‼️‼️HELP PLS‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️
Answer:
f^-1 (x)= 2×/×-1 is your answer
Factors of polynomial 3xsquare +x-4
Answer:
(3x + 4)(x - 1)
Step-by-step explanation:
3x^2 + x - 4
use middle term break method
we need two number which gives 12 when multiplied and 1 when subtracted
3x^2 + (4 - 3)x - 4
3x^2 + 4x - 3x - 4
x(3x + 4) -1(3x + 4)
(3x + 4)(x - 1)
Answer:
(x - 1)(3x + 4)
Step-by-step explanation:
Given
3x² + x - 4
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × - 4 = -12 and sum = + 1
The factors are - 3 and + 4
Use these factors to split the x- term
3x² - 3x + 4x - 4 ( factor the first/second and third/fourth terms )
= 3x(x - 1) + 4(x - 1) ← factor out (x - 1) from each term
= (x - 1)(3x + 4) ← in factored form
what is the formula of cost
Step-by-step explanation:
I don't know the answer try again later
!$P¡D£R €ŁÆŃ!!$P¡D£R €ŁÆŃ!
Answer:
A is correct because there are only 2 sides to flip to, giving it a probability of 0.50, or 1/2 that they will lands heads up.
Answer:
I would go with D
Step-by-step explanation:
Because there are 4 possibilities.
1) they both land heads up
2) they both land tails up
3) one lands heads up and the other tails up
4) one lands tails up and the other heads up
Hope this helps!
is anyone good with Trigonometry word problems?
Answer:
maybe
Step-by-step explanation:
but what help do u want?
pls help and explain thank you and love u (on pic)
Answer:
(x+1)(2x+5)
Step-by-step explanation:
Find the measure of angle "b"
Answer:
43°
Step-by-step explanation:
Angle B is congruent to the opposite angle.
The binomial (y − 2) is a factor of y2 − 10y + 16. What is the other factor?
(y − 5)
(y + 5)
(y − 8)
(y + 8)
Answer:
(y - 8)
Step-by-step explanation:
If you factor the original expression, y^2 - 10y + 16, you get (y-2)(y-8) so (y-8) is the other factor. You could also test this by multiplying (y-2)(y-8) together and seeing if you get the original expression.
Answer:c) y-8
Step-by-step explanation:
Are these relations a function? Yes or no.
{(–1,5), (2, -1),(4,3), (9,-4), (11, 1)}
Function is a set of ordered pairs where there cannot be same x-values or repetitive domain in a set.
For example below below:
{(1,1),(2,3),(3,3),(4,5)}The following relation is a function since there are no same x-values in a set.
{(1,1),(1,2),(2,2),(4,8)}The following relation is not a function since there are same two x-values which is D = {1} or (1,1) and (1,2) both have same domain. Thus, not making the relation a function.
From the question, the relation is a function because in a set of ordered pairs, there aren't any same x-values.
Answer
Yes, the following relation is a function.someone PLSSS HELP fast !! pls give rightt answer :( PLS
Answer:
the first one, 64(-1/2)^(n-1)
Step-by-step explanation:
To go from one number to the next, we first start with 64, so everything is multiplied by that. Next, 64 turns into -32, and (-32)/64 = -1/2. Similarly, 16/-32 is -1/2, and -8/16 is -1/2 as well. Therefore, we have to multiply each number by -1/2 a number of times. For example, to get from 64 to 16, we have to multiply 64 by negative one half 2 times. The only option with -1/2 in the multiplier is the first one, making that our answer
Pick the geometric term that matches the real-world object. rectangular prism sphere cylinder triangular prism cube
Answer:
Assuming this is the book one the answer is rectangular prism.
Can you ride a bike 5 miles?
Answer:
yes you physically can
Step-by-step explanation:
PLEASE help me! 50 Points
What is the Inverse of
Answer:
hmm what could it be I DNT kno
Work out the area of a rectangle with base, b = 34mm and perimeter, P = 86mm.
Answer:
306mm²
Step-by-step explanation:
the height h = 86/2 -34 = 43-34=9mm
the area = 34×9= 306mm²
Answer: (I am assuming this is 2D?)
Two bases together: 34 * 2
68
Two lengths together is p - two bases:
18
Individual length:
9
Area is base times length
9 * 34
306mm
the sum of two numbers is 63. The smaller number is 9 less than the larger number.what are the numbers
Answer:
27 and 36
Step-by-step explanation:
x + (x - 9) = 63
2x - 9 = 63
add 9 to both sides
2x = 72
Divide both sides by2
x = 36
x - 9 = 36 - 9
x - 9 = 27
A regular pentagon has a perimeter of 60 cm.
A regular pentagon has a perimeter of 60 centimeters and center point B. Radii B A and B D are drawn to form triangle A B D. Apothem B C is drawn to split the triangle into 2 right triangles.
What is the measure of angle CBD?
°
What is the length of segment CD?
cm
Which trigonometric ratio can be used to compare BC to CD using angle CBD?
What is the approximate length of BC?
cm
What is the approximate length of BD?
cm
Answer:
36˚
6 cm
tangent
8.3 cm
10.2 cm
Step-by-step explanation:
The side lengths of the regular pentagons are congruent
What is the measure of angle CBD?A pentagon has 5 sides, and the central angle is 360°.
Calculate the measure of ABD using:
ABD = 360°/5
ABD = 72
The measure of CBD is half the measure of ABD.
So, we have:
CBD = 0.5 * 72
CBD = 36
Hence, the measure of CBD is 36 degrees
What is the length of segment CD?A pentagon has 5 sides, and the given perimeter is 60 cm
Calculate the length of AD using:
AD = 60cm/5
AD = 12
The length of CD is half the length of ABD.
So, we have:
CD = 0.5 * 12
CD = 2
Hence, the length of CD is 6 cm
cm
Which trigonometric ratio can be used to compare BC to CD using angle CBD?Using the angle CBD, the trigonometric ratio can be used to compare BC to CD is the tangent ratio
What is the approximate length of BC?We have:
tan(CBD) = CD/BC
Make BC the subject
BC = CD/tan(CBD)
Substitute known values
BC = 6/tan(36)
Evaluate
BC = 8.3 cm
Hence, the approximate length of BC is 8.3 cm
What is the approximate length of BD?By Pythagoras theorem, we have:
BD^2 = BC^2 + CD^2
This gives
BD^2 = 8.3^2 + 6^2
Take the square root of both sides
BD = 10.2 cm
Hence, the approximate length of BD is 10.2 cm
Read more about regular pentagons at:
https://brainly.com/question/14961220
Which value of x satisfy the following equation 24x - 18 - 18x - 30 = 96
Answer:
(24x-18x)( -18-30)
6x-48
A helicopter is 665 feet above the ground. A girl is looking up at the helicopter to form a line. Her line of sight is 5 feet off the ground. The distance between the girl and the helicopter is 280 feet.
Answer:
67
Step-by-step explanation:
we are given adjacent and opposite sides. thus tan^-1 would be used to determine the angle
opposite side = 665 - 5 = 660
adjacent side = 280
tan = opposite / adjacent
[tex]tan^{-1}[/tex] (660/280) = 67
Answer:
67
Step-by-step explanation:
I took it on EDG
If Nate was growing 1.68 inches permonth, how much will he grow in 6 1/2 months?
Plz help what do I have to do to get the answer?? What’s the answer
Answer:
10.92 inches
Step-by-step explanation:
So Nate grows 1.68 inches a month in this case you have 6 and a half month which is equivalent to 6.5 and so in this case you can multiply.
1.68 inches*6.5 months = 10.92 inches
Answer:
10.92 inches
Step-by-step explanation:
Use a proportion. Set up two ratios equal to each other.
Given ratio:
The ratio of months to inches of growth is
1 month : 1.68 inches or 1/1.68
Now set up a ratio involving the unknown amount.
6 1/2 is the same as 6.5
In 6.5 months, he grows x inches.
6.5 months : x inches, or 6.5/x
Set the ratios equal creating a proportion.
[tex] \dfrac{1}{1.68} = \dfrac{6.5}{x} [/tex]
Cross multiply.
1 * x = 1.68 * 6.5
x = 10.92
Answer: 10.92 inches
Factor the answer
5u-15
Answer:
5(u - 3)
Step-by-step explanation:
5u - 15
5(u - 3)
Answer:
5 (u - 3)
Step-by-step explanation: