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
Solve the following system of equations by substitution. PLEASE HELP!
Answers
Answer:
(1,-1)
Step-by-step explanation:
y = -1
5x+7y = -2
Substitute the first equation into the second
5x + 7(-1) =-2
5x -7 = -2
Add 7 to each side
5x-7+7 = -2+7
5x= 5
Divide by 5
5x/5 = 5/5
x =1
(1,-1)
Find the indicated area of the sector surrounded in bold . Use 3.14 for pi!
Answers
Answer:
75.4 yd²
Step-by-step explanation:
Formula for Area of a sector when the central angle is given in degrees is given as :
θ/360 × πr²
Where:
Central angle = θ = 135°
Radius = r = 8yd
π = 3.14
Hence,
135/360 × 3.14 ×(8yd)²
= 75.36 yd²
Approximately the Area of the sector = 75.4 yd²
can somebody help me frl frl cause I'm failing
Answers
what is the volume of the following rectangular prism 9/5 units 2/3 units
Answers
Answer:
1.2
Step-by-step explanation:
9/5*2/3=1.2
Can somebody help me
Answers
What are the roots of the equation 9x^2-42x+50=0 in simplest a+bi form?
Answers
Answer:
-7/3 +\- 1/3i
Step-by-step explanation:
Help please! I really need it
Answers
Radius is a line that reaches the middle of the circle, so like
——
CA
Two tankers contain 35 litres and 50 litres of petrol, the maximum capacity of a container which can measure the petrol of either tanker in exact number of times : *
Answers
Answer:
The maximum capacity of a container which can measure the petrol of either tanker in exact number of times is 5 litres
Step-by-step explanation:
Given
[tex]L_1 = 35L[/tex]
[tex]L_2 = 50L[/tex]
To calculate the required maximum capacity, we simply calculate the HCF of both capacities.
We have:
[tex]L_1 = 35L[/tex]
[tex]L_2 = 50L[/tex]
Factorize both:
[tex]L_1 = 5 * 7[/tex]
[tex]L_2 = 2 * 5 * 5[/tex]
The HCF is:
[tex]HCF = 5[/tex]
Blue
A bowl contains:
• 3 red erasers
• 4 blue erasers
.6 green erasers
• 7 pink erasers
An eraser will be drawn from
the bowl and replaced 50 times.
What is a reasonable prediction
for the number of times a green
eraser will be drawn?
Whoever answers correctly will be marked brainliest
Answers
Answer:
30%
Step-by-step explanation:
3+4+6+7= 20
6 (green) / 20
= 30%
You are 3 times older than your younger sister and you are 12 years old. Write an equation to solve for your sister's age
Answers
Cost per item: $6.06 item sold: 64321 total profit: $25123.5 sale price:?
Answers
Answer:
0.39063241
Step-by-step explanation:
cost per item: 6.06
items sold: 64321
total profit: 25123.5
sale price: ?
x = number of items
64321x - 6.06x = 25123.5
64314.94x = 25123.5
x = 25123.5/64314.94 = 0.39063241
The triangles shown below are similar. Find the length of QS.
Answers
Answer: The value of QS is 8 cm.
Step-by-step explanation:
First calculating the side QT.
As per given figure:
ΔPQT ≈ ΔRST
[tex]\frac{PQ}{RS}=\frac{QT}{ST}[/tex]
Given:
PQ = 9 cm
RS = 3 cm
ST = 4 cm
Now putting all the given values in the above expression, we get:
[tex]\frac{PQ}{RS}=\frac{QT}{ST}\\\\\frac{9cm}{3cm}=\frac{QT}{4cm}\\\\QT=12cm[/tex]
Now calculating the value of QS.
QT = QS + ST
12 cm = QS + 4 cm
QS = 12 cm - 4 cm
QS = 8 cm
Thus, the value of QS is 8 cm.
Which of these r-values represents the weakest correlation
A 0.6
B 0.3
C 0.5
D 0.4
Answers
Answer:
B
Step-by-step explanation:
0.3 is weakest
A company paid a ₦25200 electricity bill to NEPA. The bill included VAT at 5%. Calculate the amount of VAT paid
Answers
Answer:
1260
Step-by-step explanation:
5÷100=0.05
0.05×25200=1260
Date
Page
Out
of
100 students who appeared in
grade.VIII annual examination
of
Ram
Janaki Secondary School.60 passed in
mothematics, 50 in science and 20 students
passed in both subject find how
many
failed in both subject ? Aso show above information
student
in Venn-
bright
Venn-diagram
huan anatoa )
Sonnant Babase
eigshoos te
oloh
Answers
Answer:
10 student failed in both subjects.
Step-by-step explanation:
Since out of 100 students who appeared in grade VIII annual examination of Ram Janaki Secondary School, 60 passed in mathematics, 50 in science and 20 students passed in both subjects, to determine how many failed in both subjects the following calculation must be performed:
(100 - 20) - (60 - 20) - (50 - 20) = X
80 - 40 - 30 = X
40 - 30 = X
10 = X
Therefore, 10 student failed in both subjects.
Write an algorithm to find sum of first ten even numbers?
plz do it ... if you do i will mark brainliest
Answers
Answer:
n(n+1)
This is the answer I know
WUTY guerrITOSTITUTO PETTITUUTTOIVOITETTO
GO
Determine the equation of the line perpendicular to the line y = -8 through the point (-4,-2),
The line ys -8 is
The line perpendicular to the line y = -8 is
The equation of the line perpendicular to the line y = -8 through the point (-4,-2) is
Answers
Answer:
-x-6=y
Step-by-step explanation:
Perpendicular slope is -1
-1(-4)+b=-2
B=-6
Answer:
Determine the equation of the line perpendicular to the line y = –8 through the point (–4, –2).
The line y = –8 is
✔ horizontal
The line perpendicular to the line y = –8 is
✔ vertical
The equation of the line perpendicular to the line y = –8 through the point (–4, –2) is
✔ x = –4
Step-by-step explanation:
i got it right
What is the correct value of x in the triangle
Answers
Answer: 4
Step-by-step explanation:
Using the 30°-60°-90° Triangle Theorem we know that the base side is half of the hypotenuse. That means it is half of 8 which is 4
Please please pleeeesse hurry if you see this and it’s right I with give brainliest
Answers
Answer:
forma is h * w / 2 and y and x have no value because there are no numbers to calculate.
Step-by-step explanation:
hope this helps!!!!!
Answer:
h * w/2 OR (base * height) / 2
/ = divide
* = multiply
Step-by-step explanation:
An item costs $386 before tax, and the sales tax is $15.20.
Find the sales tax rate. Write your answer as a percentage.
Answers
Answer:
Sales tax rate = 3.94%
Step-by-step explanation:
[tex]Sales \ tax \ rate = \frac{15.20}{386} \\\\Sales \ tax \ rate = \frac{38}{965} \\\\[/tex]
Sales tax rate = 0.039378... ⇒ 3.94%
A 3-column table with 5 rows. Column 1 is labeled Tickets with entries 2, 4, 6, 8, 10. Column 2 is labeled Total Cost for Aquarium with entries 29, 58, 87, blank, blank. Column 3 is labeled Total Cost for Wave Pool with entries 33.5, 67, blank, blank, blank.
Gale found out that the wave pool has a money-saving deal: if more than 4 people attend, the tickets are discounted from $16.75 each to $12.25 each.
Calculate to determine how much 6 tickets to the wave pool will cost.
$
Answers
Answer
What event will cost the least for 9 tickets?
the wave pool
How much less will this event cost?
$20.25
Hope it helps :)
Step-by-step explanation:
in the similar triangle ABE and triangle CDE,AB=10cm,ED=4cm,CD=8cm find the length of BC
Answers
9514 1404 393
Answer:
BE = 5 cm
Step-by-step explanation:
Your problem statement asks for the length of BC. There is no segment BC. Points B and C are in different triangles.
The length of segment BE can be found from the proportion ...
BE/DE = AB/CD
BE = DE·AB/CD = (4 cm)(10/8)
BE = 5 cm
PLEASE HELP!! The green line below *blank*. Check all that apply.
A. is parallel to the x-axis
B. crosses the origin
C. is in the xy-plane
D. crosses the y-axis
Answers
Answer:
D. crosses the y-axis
[tex]{ \tt{crosses \: y - axis \: at \: y = 5}}[/tex]
please help 20 points
Answers
Answer:
Option C is correct
Step-by-step explanation:
[tex]a. - 3, - 12 \\ = 36[/tex]
[tex]b. - 6, - 6 \\ = 36[/tex]
[tex]c. \: \: 9, - 4 \\ = - 36[/tex]
[tex]d. \: \: 2,18 \\ = 36[/tex]
Hope it is helpful...hii guys I'm sorry I am close to failin, and I sorry tay I'm asking a lot for questions :c
Answers
Answer:
A≈87.96
Step-by-step explanation:
A=2πrh+2πr2
= 2pi(2)(5) + 2pi(2)2
Answer:
Hello! answer: 87.92
Step-by-step explanation:
Im a little rusty on these but the answer I believe would be 87.92
2 × 2 × 3.14 = 12.56
2 × 2 × 3.14 = 12.56
4 × 3.14 = 12.56 12.56 × 5 = 62.8
12.56 + 12.56 + 62.8 = 87.92
Hope that helps!
Helppppppppp meeeeeeeeeeee
Answers
Congruent angle pairs : Find m
Answers
Answer:
75
Step-by-step explanation:
x+60 and 5x are vertical angles, which means they are equal
x+60 = 5x
Subtract x from each side
x+60-x = 5x-x
60 = 4x
Divide by 4
60/4 = 4x/4
15 =x
We want to find x+60
x+60
15+60
75
Answer:
∠GH = 75°
Step-by-step explanation:
x + 60° = 5x° ( vertical angles )
subtract x from both side
x - x + 60° = 5x - x
60° = 4x
divide each side by 4
60°/ 4 = 4x / 4
15 ° = x
To calculate, ∠GH
∠GH = x + 60 °
15 ° + 60° .. ( x = 15°)
= 75°
List all the possible numbers for ALL 4 Quadrants (in terms of negative, positive).
What Quadrant would the following numbers be in:
-4, -6 ______
+5, +5______
-4, +1 ______
+3, -7 _____
Answers
find the first 5 terms in 3n^2/2
Answers
[tex]\sqrt \frac{256}{4\\}[/tex]
Answers
Answer:
8
Step-by-step explanation:
[tex]\sqrt{\frac{256}{4} }[/tex]
[tex]\sqrt{\frac{16*16}{2*2} }[/tex]
[tex]\sqrt{(\frac{16}{2})^2 }[/tex]
square and root gets cancel . so ,
[tex]\frac{16}{2}[/tex]
8
