72. Linear Speed. A wheel with a 30-cm radius is rotat- ing at a rate of 3 radians / sec. What is the linear speed of a point on its rim, in meters per minute?
Answers
========================================================
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.
----------------
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.
Multiplying the values across the top gives: 60*3*1*60*1 = 10800Multiplying across the bottom gives: 1*1*2*1*100 = 200Divide 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.
Related Questions
2. Select all the irrational numbers. *
A. 6pi
B. - square root of 49
C. -1.405
_
D. -0.3
E. e
F. square root of 2
Answers
Answer:
F.
Step-by-step explanation:
Factorise completely the expression below: 6ax+12by-9ay-8bx
Answers
Answer:
Step-by-step explanation:
6ax +12by -9ay -8bx
=6ax -8bx -9ay +12by
=2x(3a -4b)-3y(3a -4b)
=(2x-3y)(3a-4b)
make x the subject of the formula
y=a√x
Answers
Answer:
y=a√x
y/a=a√x/a a will cancel out on the right side of the equation
therefore, √x=y/a
x=√y/x
if f(x) =4x²+1 and g(x) =x²-5, find (f-g)(x)
Answers
Answer:
(f-g)(x)=4x^2+1-x^2+5
=3x^2+6
=3(x^2+2)
Figure A is a scale image of Figure B.
What is the value of x?
NO LINK. OR I WILL REPORT YOU.
Answers
Answer:
4.4
Step-by-step explanation:
x / 4 = 11 / 10
x = ( 4 x 11 ) / 10
= 44 / 10
x = 4.4
Answer:
5
Step-by-step explanation:
To measure scale factors, you have to measure how much units apart each triangle is, and apply the same length to x on figure A.
Here is the equation I used:
10-4=6
11-6=5
Both triangles are 6 units in difference.
Given the graph of the line, choose two points and find the slope. Construct the equations for each of the
points you chose in point slope form. Show your work and explain each step.
*The graph is in the picture *
PLEASE HELP I WILL GIVE BRAINLIST
Answers
Step-by-step explanation:
First, given that we must use point slope form, we can define that as
y - y₁ = m (x-x₁), with m being the slope .
To find the slope, we can use the equation
[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]. Two points on the graph are (0, 1) and (1, 3). For these points, when calculating the slope, 0 and 1 represent x₁ and y₁ respectively, while 1 and 3 represent x₂ and y₂ respectively Using this formula, we can plug our points in to get
[tex]\frac{3-1}{1-0} = 2/1 = 2[/tex]
as our slope. Therefore, our equation is
y - y₁ = 2 (x-x₁).
For our first point, (0,1), we can simply plug 0 in for x₁ and 1 in for y₁ to get
y - 1 = 2(x-0) as one equation
Next, for (1,3) we can plug 1 for x₁ and 3 for y₁ to get
y - 3 = 2 (x-1) as our other equation
Can someone help me?It's urgent and thank you!
Answers
Answer:
575.71
Step-by-step explanation:
Year 1: 960 x .88 (100%-12%)=844.80
Year 2: 844.80 x .88 =743.424
Year 3: 743.424x.88=654.21
Year 4: 654.21 x .88=575.71
Could someone help me with 2, 9, 10, 11, 12 13, and 14?
Answers
Answer:
13. (1) x + 8x = 32
14. $337.5
Step-by-step explanation:
14. $270 x 0.25 = 67.5
270 + 67.5 = 337.5
I am sorry. I only got these-
Solve for x. Assume that lines which appear tangent are tangent. x=
Answers
Answer:
this is a long shot( like rly long) but try either -6 or -3
Step-by-step explanation:
Don't co.e for me if I'm wrong im just a poor girl in year 8
The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the y-variable, and what is the solution for this system?
Answers
The question is incomplete, the complete question is:
The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the y-variable, and what is the solution for this system?
x + 3y = 42
2x − y = 14
A: Multiply the second equation by -3. The solution is x = 12, y = 9.
B: Multiply the second equation by -2. The solution is x = 12, y = 10.
C: Multiply the second equation by 2. The solution is x = 15, y = 9
D: Multiply the second equation by 3. The solution is x = 12, y = 10
Answer: The correct option is D.
Step-by-step explanation:
The elimination method is a technique wherein we eliminate the coefficient of any one variable.
The given equations are:
x + 3y = 42
2x − y = 14
We multiply the second equation by (3) and the equations formed are:
x + 3y = 42
6x − 3y = 42
The final equation after eliminating the y-term becomes:
7x = 84
x = 12
Putting value of 'x' in any of the original equation, we get:
⇒ 12 + 3y = 42
⇒ 3y = 30
⇒ y = 10
Hence, the correct option is D.
please help me solve this..
Answers
Answer:
5
Step-by-step explanation:
Let a = number of pieces of chocolate bought by Amin.
Let b = number of pieces of chocolate bought by Bob.
b = 2a
(a - 3)(b - 3) = 14
ab - 3a - 3b + 9 = 14
a(2a) - 3a - 3(2a) = 5
2a^2 - 3a - 6a = 5
2a^2 - 9a - 5 = 0
(2a + 1)(a - 5) = 0
2a + 1 = 0 or a - 5 = 0
a = -1/2 or a = 5
Amin cannot have bought -1/2 pieces of chocolate, so we discard the soluion a = -1/2.
a = 5
Answer: 5
Find (-3/7) / (-1 1/14).
45/98
2/5
2 1/2
-2/5
Answers
Answer:
option B . [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
[tex](-\frac{3}{7}) \div (-\frac{15}{14}) = (-\frac{3}{7}) \times (-\frac{14}{15}) = \frac{3 \times 14}{7 \times 15} = \frac{2}{5}[/tex]
Answer:
2/5
Step-by-step explanation:
(-3/7) / (-1 1/14) = 0.4
0.4 = 4/10
simplified = 2/5
I hope this helps uwu.
1 + 4.25n + 3/2p – 3 + (–2p) + 5/4n simplify
A. 5.5n – 1/2p – 2
B. 9.5n + 1.5p – 2
C. 9/4n − 1.5p − 4
D. 3.75n – p + 1
Answers
[tex]\longrightarrow{\green{A.\:5.5 \: n - \frac{1}{2} \: p - 2}}[/tex] ✔
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]1 + 4.25 \: n + \frac{3}{2} \: p - 3 + ( - 2 \: p) + \frac{5}{4} \: n [/tex]
Combining like terms, we have
[tex] = 4.25 \: n + \frac{5}{4} \: n + \frac{3}{2} \: p - 2 \: p + 1 - 3 \\ \\= 4.25 \: n + 1.25 \: n + 1.5 \: p - 2 \: p - 2 \\\\ = 5.5 \: n - 0.5 \: p - 2 \\ \\ = 5.5 \: n - \frac{1}{2} \: p - 2[/tex]
[tex]{\huge{\boxed{\sf{\pink{Mystique35}}}}}[/tex]
pa help po............. ............
Answers
Answer:
ΔABC
∠9 = ∠19 + ∠21
∠7 = ∠20 + ∠21
∠8 = ∠19 + ∠20
ΔXYZ
∠3 = ∠11 + ∠12
∠5 = ∠10 + ∠12
∠4 = ∠10 + ∠11
ΔNOR
∠1 = ∠5 + ∠6
∠2 = ∠ 4 + ∠5
∠3 = ∠4 + ∠6
Step-by-step explanation:
According to the exterior angle theorem, the exterior angle of a triangle is equal in measurement to the sum of the two interior angles of the triangle;
In triangle ΔABC, we have;
∠9 = ∠19 + ∠21
∠7 = ∠20 + ∠21
∠8 = ∠19 + ∠20
In triangle ΔXYZ, we have;
∠3 = ∠11 + ∠12
∠5 = ∠10 + ∠12
∠4 = ∠10 + ∠11
In triangle ΔNOR, we have;
∠1 = ∠5 + ∠6
∠2 = ∠ 4 + ∠5
∠3 = ∠4 + ∠6
Molly starts riding her bike to school 20 minutes after her brother Jonas
does. Molly pedals 12 miles per hour, and Jonas pedals 9 miles per hour.
How much time will it take for Molly to catch up to Jonas?
Answers
Answer:
It will take Molly 1 hour to catch up to Jonas.
Step-by-step explanation:
Since Molly starts riding her bike to school 20 minutes after her brother Jonas does, and Molly pedals 12 miles per hour, and Jonas pedals 9 miles per hour, to determine how much time will it take for Molly to catch up to Jonas the following calculation has to be done:
Jonas = 9 miles per 60 minutes = 3 miles per 20 minutes
Molly = 12 miles for 60 minutes
Jonas = 3 miles + 9 = 12
Molly = 12
Therefore, it will take Molly 1 hour to catch up to Jonas.
Please help…………………………….
Answers
if i'm correct its 7x
Answer:
Domen is [ -2 , infinitely) or can be written as
-2 < x < infinitely in inequality form.
Step-by-step explanation:
if (x+2) is negative than function will be imaginary so to be real function (x+2) should be positive
hence answer is : Domen = -2 < x < infinitely or can be written as [ -2 , infinitely )
i want 2 equivalent fractions for 25/90 and for 106/300
Answers
Answer:
25/90 there is 150/270 and 5/18
for 106/300 there is 53/150 and 212/600
Answer:
for 25/90 divide by 5 to get 5/18. For 106/30 divide both by 2 to get 53/150.
Justins rice ball recipe uses 100 grams of rice to make 1 rice ball. Justin has 700 grams of rice. How many rice bals can juctin make with 700 grams of rics?
Answers
Answer:Justin can make 7 rice balls with 700 grams of rice
Step-by-step explanation:
IF 100 grams of rice can make 1 rice ball.
Therefore, 700 grams of rice can make 700grams x 1 rice ball/ 100 grams
=7 rice balls
Therefore Justin can make 7 rice balls with 700grams of rice
Please help me solve my problem!!!
Answers
Answer:
FH is the smallest angle since it is lesser than all the other ones.
Application: Dana is planning to ride her bicycle around the circular race track and wants to know the distance. If the diameter of the track is 2 mile, how far is the distance around the race track?
Answers
Answer:
6.2831853071795864miles
~6.283
Step-by-step explanation:
Circumference of a circle=2πr
=2π×½×2mile
2×π×1mile
=6.2831853071795864miles
~6.283
Or, πd
=π×2miles
=6.2831853071795864miles
~6.283
A 12-foot ladder is leaning against a wall. The distance from the base of the wall to the base of the ladder is 6 StartRoot 2 EndRoot feet. Given this information, what can be determined about the triangle formed by the ground, wall, and ladder? Check all that apply.
Answers
Answer:
a
b
d
e
Step-by-step explanation:
he triangle is isosceles.
The leg-to-hypotenuse ratio is 1:StartRoot 2 EndRoot.
The leg-to-hypotenuse ratio is 1:StartFraction StartRoot 2 EndRoot Over 2 EndRoot. The nonright angles are congruent. The ladder represents the longest length in the triangle.
Answer:
a,b,d,e
Step-by-step explanation:
answer
6 + {1 + [−(3 + 5) − 8] + 2} + 10 pleasee!!!
Answers
[tex]6 + (1 + ( - (3 + 5) - 8) + 2 \\ 6 + (1 + 2 - 8) + 2 + 10 \\ 6 + ( - 5) + 2 + 10 \\ 6 - 5 + 2 + 10 \\ \\ = 13[/tex]
Final Answer: 13Step By Step Explanation:
Calculate: Calculate the sumCalculate: Calculate the sum or differenceRemove the parentheses: When there is a + in front of an expression in parentheses, the expression remains the sameCalculate: Calculate the sum or difference☆彡Hanna9. Estimate the solution to the system
of equations by graphing. Write the
solution.
y=4-X
x + 3y = 5
( , )
Answers
At least I think
Math help please thanks
Answers
Answer:
x = 10.5
Step-by-step explanation:
The first thing you have to do is to find out what you multiplied (say) 2 by to get 3.5 and then try it again with another number.
2k = 3.5 Divide by 2
k = 3.5 / 2
k = 1.75
Now try it on another number. What do you multiply 4 by to get 7
4k = 7 Divide by 4
k = 7/4
k = 1.75
So here's what's going on. If you multiply every dimension you are given on the left pentagon (it's not regular) by 1.75, you should get the corresponding number on the right.
To get x you need to multiply 6 by 1.75
x = 6*1.75
x = 10.5
Find the equation of the parabola that has zeros of x = –2 and x = 3 and a y–intercept of (0,–30).
A)
y = x2 – 5x – 30
B)
y = 5x2+ 5x – 30
C)
y = –5x2 + 5x + 30
D)
y = 5x2 – 5x – 30
Answers
It's the letter B y=-5x2+5x+30.
Calculate the area of a circle with a radius of 16.9 centimeters.
a. about 224.32 cm2
c. about 106.19 cm2
b. about 212.37 cm2
d. about 897.27 cm2
Answers
Answer:
I'd say 897.27cm². That's the vlosest answer that I see.
Round the following values to 2 significant figures 0.0653
Answers
Answer:
The answer is 0.065
Step-by-step explanation:
0 doesn't count if it's before a start of a number when rounding to a significant figure
Please answer thanks! Brainliest
Answers
Step-by-step explanation:
The last two answers is correct
Answer:
4
Step-by-step explanation:
The answer to T - H is negative
Frank has $8000 that he plans to split into two investments. He wrote the following two equations to represent the interests he will earn from each of the two investment options.
Answers
Answer:
I still think you equations are wrong...
4000/4000 not 400/400
Step-by-step explanation:
2000 A+ 6000B=520
4000A+4000B =480
~~~~~~~~~~~~~~~~~~~~~
2000 A+ 6000B=520
-2000A - 2000B =-240
4000B = 280
B=7%
A=5%
Cho ∆ABC;phân giác AD,BE,CF cắt nhau tại I . a, Góc IAC+góc IBC+ góc ICA=? b, Kẻ IH vuông góc với BC . C/m Góc BIH=góc CID