Two pulleys, one with radius r 1r1 and the other with radius r 2r2, are connected by a belt. The pulley with radius r 1r1 rotates at omega 1ω1 revolutions per minute, whereas the pulley with radius r 2r2 rotates at omega 2ω2 revolutions per minute. Show that StartFraction r 1 Over r 2 EndFraction equals StartFraction omega 2 Over omega 1 EndFraction r1 r2
Answer:
r1/r2 = 2ω2/ω1
Step-by-step explanation:
The velocity of each pulley is expressed as v = ωr where;
v is the linear velocity of the pulley
ω is the angular velocity of the pulley
r is the radius of the pulley.
For the two pulleys, the velocity I'd both pulleys are the same.
v1 = v2
v1 is the linear velocity of first pulley
v2 is the linear velocity of the second pulley.
v1 = ω1r1
v2 = 2ω2(r2)
r1 and r2 is the radius of pulley 1 and pulley 2 respectively.
Since v1 = v2
ω1r1 = 2ω2(r2)
Divide both sides by r2
ω1r1/r2 = 2ω2(r2)/r2
ω1r1/r2 = 2ω2
Divide both sides by ω1
ω1r1/r2/ω1= 2ω2/ω1
r1/r2 = 2ω2/ω1
A rectangular garden has length and width as given by the expressions below.
Length: 4 - 7(3x + 4y)
Width: 3x(-2y)
Write a simplified expression for the perimeter of the rectangle.
-1 1/3- 1 2/3 in the simplest form
Answer:
-3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
thats in the simplest form
between which two consecutive whole numbers does the root of 15 lie
It lies between the numbers 3 & 4 because the true answer of [tex]\sqrt{15\\[/tex] is 3.87
In parallelogram JKLM, what is the relationship between angle j and angle k?
j° + k° = 180°
j° = k°
j° = -k°
j° - k° = 180°
1 of 4
Answer:
since j&k are interior angles if I added they should come up to 180° so j + k is equals to 180° yeah that's the answer
What is 14/20 as a percent
Remember 'bout :
Percent is /100
So :
14 ×5 70
-------- = ----- -
20×5 100
70 %
Im sorry if im wrong
8.673
8.637
Is 8.673 greater, least, or are they equal?
Answer:
the answer is greater...
Harry put blue and green marbles in a bag. Exactly 3/4 of the marbles in the bag are blue. Which of the following could be the total number of marbles in the bag.
A. 3
B. 6
C. 7
D. 8
Answer:
D
Step-by-step explanation:
Because when u multiply 3/4 times A,B,C it gives you a decimal, when u multiply 3/4 by 8 you get 6 a whole number.
The total number of marbles in the bag could be (d) 8
How to determine the possible total?We have:
Blue proportion = 3/4
This means that the green proportion is
Green proportion = 1 - 3/4
Evaluate
Green proportion = 1/4
Express as ratio
Blue: Green = 3/4 : 1/4
Simplify
Blue: Green = 3 : 1
Add the ratios
Total = 3 + 1
Total = 4
The above means that the total number of marbles in the bag is a multiple of 4
i.e. 4, 8, 12, 16, 20......
Hence, the total number of marbles in the bag could be (d) 8
Read more about proportions at:
https://brainly.com/question/1781657
#SPJ9
I may or may not be dumb in the brain... I'll give brainliest to whoever answers first and correctly.
Answer:
23 degrees
Step-by-step explanation:
6x + 42 = 180
x = 23
Answer:
23 Degrees
Step-by-step explanation:
6x + 42 = 180
-42. -42
6x = 138
/6. /6
× = 23
10(6 + 4) ÷ (2³.7)² =
Answer:
25/784
Step-by-step explanation:
At the start of the football game, there were 840 fans in the stadium. It began to rain during halftime, so 10% of the fans went home.
During the 3rd quarter of the game, the visiting team scored five touchdowns, so 25% of the remaining fans went home.
How many fans were in the stadium after the 3rd quarter?
what is the mean of the data set? 61, 38, 40, 53
Answer:
48Step-by-step explanation:
Mean = Sum of all values/ total no of data
[tex]\frac{61+38+40+53}{4} \\\\= \frac{192}{4} \\\\=48[/tex]
-10+1= plssssss help meeeeeee
Answer:
-9
Step-by-step explanation:
-10 - (-1) = -9
6. 108 is how many times as large as 2. 103?
Answer:
54 times larger than 2
Step-by-step explanation:
108 divided by 2 is 54
Determine whether the equation below has a one solutions, no solutions, or an
infinite number of solutions. Afterwards, determine two values of x that support your
conclusion.
2 – 3 = -3 + 2
Answer:
one solution
Step-by-step explanation:
Phil would like to make a profit of $250 this summer mowing his grandfather’s lawn. If he plans to mow 20 times and estimates that his fuel costs will be $30 for the entiresummer,which equation could be used to determine how much should he charge for each mowing?
Answer:
which principle prevents a brach from abusing its power
Step-by-step explanation:
which principle prevents a brach from abusing its power
Answer:
20x - 30 = 250
Step-by-step explanation:
20x - 30 = 250
20x = 280
x = 14
what ordered pair is the solution
You can run 1/5mi in 2 min how long will it take you you run 2mi
Answer:
20 minutes
Step-by-step explanation:
A right rectangular prism is packed with cubes of side length fraction 1 over 8 inch. If the prism is packed with 16 cubes along the length, 8 cubes along the width, and 6 cubes along the height, what is the volume of the prism?
Answer:
768
Step-by-step explanation:
16x8x6=768 because volume equals length times width times height ! :)
Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes.
y= 1/3 x− 2/3
Answer:
y-intercept = (0,-2/3)
x-intercept = (2,0)
Step-by-step explanation:
*X-intercept touches the x-axis & y-intercept touches the y-axis*
You can identify the y-intercept by looking at the equation.
The slope is 1/3x and the y-intercept is -2/3.
I'm not sure how to solve for the x-intercept, but you can make a graph with the y-intercept and the slope points. By doing this you should be able to find the x-intercept.
Hope this helped!!! :)
PS: Check out the Desmos Graphing Calculator
This website helps a lot with these types of problems. You can type the equation, and it will show you a graph. If you look at the graph, you'll be able to determine the slope, the x-intercept, and the y-intercept.
u have to solve quadratic equations algebraically ,if u are math nerd pls help, Solve the equation 6x=2x^2+1
Answer: here you go sir
Step-by-step explanation: I couldn’t put it on here because I had to put certain symbols. Hope this helps!
yall already know im stuck again will mark brainlyest
Solve the equation for b. Use lowercase letters and no spaces when typing in the equation. a+b/3= C type your answer...
solve each equation for x:
-5(3x + 4) = 25
4(x + 2) - 3(2x - 4) = 10
-4x - 3 = -1
Answer:
1. x = -3
2. x = 5
3. Exact Form: x = −1/2
Decimal Form: x = −0.5
Step-by-step explanation:
Answer:
1. -3
2. 2/3
3. 1/2
A rectangle has coordinates A(-4,3). B(0,0), C(6,8) and D(2,11)
Answer:
what is the question
Step-by-step explanation:
Approximate which two integers √210 is between.
Answer:
14 and 15
Step-by-step explanation:
14 - 196
15- 225
what is -6 divided by (-3) • (-5)
Answer:
d
Step-by-step explanation:
if x=-2, y=-6 and z=4, Find the value of 4xy 3marks
Answer:
Step-by-step explanation:
4xy=4*(-2)*(-6)
4xy=48
Identify the like term(s) in the following expression...
-11d-12z-5+9m+8d+2z
A) +8d and 11d, +2z and -12z
B) -11d and +8d, +2z and -12z
C) -11d and +8d, +2z and 12z
D) -11d and +8d, +2z and -12z, +9m
Answer:
If Im correct B). is the correct answer
B) -11d and +8d, +2z and -12z
Help, I’m stuck. Lol.
Answer:
a. height = 12
b. area = 228
Step-by-step explanation:
a. To find the height, we can use the triangle formed by the side that measures 15, the side that measures 9. and the height. The hypotenuse of the triangle(the longest side opposite of the right angle), is 15. We can then use the Pythagorean Theorem, which states that [tex]a^2+b^2=c^2[/tex], where c is the hypotenuse, and a and b are the two other sides. In this case, we need to find a leg of the triangle, not the hypotenuse. What do we do? We can first call the height a, and rearrange the Theorem into [tex]c^2-b^2=a^2[/tex]. [tex]15^2=225, 9^2=81,[/tex] and [tex]225-81=\sqrt{144}[/tex]=12. Therefore, the height of the parallelogram is [tex]\boxed{12}[/tex]
b. To find the area of the parallelogram, we can use the area formula, which is Base*Height. The base is the flat side. We can find the base by adding 9+10=19, and [tex]19\cdot12=\boxed{228}[/tex]