A seesaw is 3 metres long. It is balanced when child A sits 0.8 m from the pivot and child B sits 0.6 m from the pivot. Child A has a weight of 300 N. i. Draw a force diagram to represent this system. (Ensure that you label the force and distances given.) ii. Use the principle of moments to determine the weight of child B.
Answers
Answer:
i) see attached diagram
ii) 400 N
Step-by-step explanation:
Since we don’t know the mass of the seesaw, take moments about M (so we don’t have to consider R or mg).
Moment = Force x Perpendicular Distance to the Pivot
As the system is in equilibrium, total anti-clockwise moment = total clockwise moment:
⇒ 300 × 0.8 = b × 0.6
⇒ 0.6 b = 240
⇒ b = 400 N
Related Questions
Select all the correct answers.
Assume these hexagons are similar. Which changes will result in a pair of non-similar hexagons?
B
с
A
D
H
G
F
E
K
O doubling each side length in ABCDEF
subtracting 1 from each side length in GHIJKL
adding 15 degrees to angles G, H, and I, and subtracting 15 degrees from angles
o reducing each side length in GHIJKL by one-third of the original length
K and 2
adding 3 to each side length in GHIJKL
Answers
Answer:
Subtracting 1 from each side length of GHIJKL
Adding 15 degrees to angles G, H, and I, and subtracting 15 degrees from angles J, K, and L
adding 3 to each side length in GHIJKL
Step-by-step explanation: Plato
Answer: 2&3 are the answers .
Step-by-step explanation: I got the answer right on my test .
What is 12/5 turned into a mixed number
Answers
Answer: 2 2/5
Step-by-step explanation:
Denominator stays the same, divide 12 and 5, remainder at the top
Which of the following is the largest decimal number? *
0.231 .231 .03 .2
Answers
.03 is in the hundreths place which makes it the smallest
.2 is not as big as 0.231 because is does not have any hundreths or thousandths attached to it to make it slightly larger
Find a solution to the system of equations.
5x+2y=16
7x+3y=23
X= Y=
Answers
Answer:
x = 2 and y = 3
Step-by-step explanation:
-3(5x+2y=16)
2(7x+3y=23)
-15 x - 6y = -48
14 x + 6y = 46
the y's cancel out
- x = - 2
x = 2
5x + 2y = 16
5(2) + 2y = 16
2y = 6
y = 3
6(2x-3)-2(2x+1)
expand and simplify
Answers
Answer:
8x-20
Step-by-step explanation:
Distribute:
12x-18-2(2x+1)
12x-18-4x-2
Collect like terms:
8x-18-2
Answer:
8x-20
should be easy points
Answers
Answer:
D
Step-by-step explanation:
2 1/8 + 1 1/2 + 1 3/4 = 5 3/8
Answer:
d
Step-by-step explanation:
got it right on the web.
Jeff has 242 DVDs. He has 2 shelves that can each hold 120 DVDs. Does he need to buy another shelf
Answers
Answer:
Here's my way
Step-by-step explanation:
he has 242, and 2 shelves for 120
120 + 120 = 240,
which leaves 2 off.
so, either you can put:
"Yes, because he has 2 remaining" (Not recommended)
Or
"No, because he put 240 on the shelves , he can put the other 2 somewhere else" (Recommended)
find the value of Y, that make the distance from A to B equal to the given distance. A(3,y), B(6,2);D=5
Answers
Becky's brother has an investment account that he says earns an
average of 13% each year. If this is the case, approximately how long
will it take him to double his money?
Answers
Answer:
Approximately 8 yearsStep-by-step explanation:
We are looking for 100% interest amount.
Since the yearly interest rate is 13%, time required to double the amount is:
100/13 = 7.69 or nearly 8 yearsKaden is making loaves of bananna bread. He males 4 loaves of banana bread, and he uses 9 cups of flour in all. How mich flour does he use per loaf?
Answers
Answer:
2.25 cups
Step-by-step explanation:
9/4 = 2.25
The number of classified documents has increased approximately linearly from 8.2 million documents in 2001 to 17.4 million documents in 2005. Let n be the number
of documents (in millions) labeled as classified in the year that is tyears since 2000. Find
an equation of a linear model to describe the data.
Answers
Answer:
n -8.2 = 2.3(t -1)
Step-by-step explanation:
You are given definitions for the variables t and n, along with two data points:
(t, n) = (1, 8.2) and (5, 17.4)
The slope of the line between these points is ...
m = (y2 -y1)/(x2 -x1)
m = (17.4 -8.2)/(5 -1) = 9.2/4 = 2.3
The equation can be written in point-slope form as ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
n -8.2 = 2.3(t -1) . . . . a linear model describing the data
______
Additional comment
If we eliminate the parentheses and add 8.2, we get the point-slope equation ...
n = 2.3t +5.9
Which graph correctly shows the solution of the compound inequality 3x > and 9x<54?
Answers
Answer:
D
or the bottom answer
Step-by-step explanation:
3x ≥ 3 and 9x < 54
÷3 ÷3 ÷9 ÷9
x ≥ 1 x < 6
"and" means joined together
"≥" means filled in
"<" means not filled in
I hope this helps!
Simplify:.........
[tex]2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15} [/tex]
Answers
Answer:
[tex]2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15} [/tex]
[tex] \frac{13}{5} + \frac{13}{10} - \frac{47}{15} [/tex]
LCM of 5,10,15=30.[tex] = \frac{13 \times 6 + 13 \times 3 - 47 \times 2}{30} [/tex]
[tex] = \frac{78 + 39 - 94}{30} = \frac{117 - 94}{30} = \frac{23}{30} [/tex]
Simplifying [tex]2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15}[/tex] is equal to [tex]\frac{23}{30}[/tex]
Given the following equation:
[tex]2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15}[/tex]What is a fraction?A fraction refers to a numerical quantity that isn't expressed as a whole number. Therefore, a fraction is simply expressed as a part of a whole number.
The parts of a fraction.In Mathematics, a fraction consists of two (2) main parts and these are:
NumeratorDenominatorIn this exercise, you're required to simplify the given fractions. Thus, we would convert the mixed fraction to a single fraction as follows:
[tex]2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15}=\frac{13}{5} +\frac{13}{10} -\frac{47}{15}[/tex]
Note: Lowest common multiple (LCM) of 5, 10 and 15 = 30.
[tex]\frac{13}{5} +\frac{13}{10} -\frac{47}{15}=\frac{78+39-94}{30} \\\\\frac{13}{5} +\frac{13}{10} -\frac{47}{15}=\frac{117-94}{30}\\\\\frac{13}{5} +\frac{13}{10} -\frac{47}{15}=\frac{23}{30}[/tex]
Read more on fractions here: brainly.com/question/368260
Math Help Help Fast Alot of points
Answers
We know
At centroid the medians of all triangles bisect eachother at 2:1 ratio
So
PV:VT=2:1[tex]\\ \tt\hookrightarrow 16:VT=2:1[/tex]
[tex]\\ \tt\hookrightarrow VT=8[/tex]
RV:VS=2:1[tex]\\ \tt\hookrightarrow 18;VS=2:1[/tex]
[tex]\\ \tt\hookrightarrow VS=9[/tex]
PT=16+8=24units[tex]\\ \tt\hookrightarrow VU:QU=1:3[/tex]
[tex]\\ \tt\hookrightarrow VU:39=1:3[/tex]
[tex]\\ \tt\hookrightarrow VU=13[/tex]
Find the distance between (−4, −3) and (−2, 0). Round your answer to the nearest tenth.
Answers
Answer:Given the two points you entered of (-4, -3) and (-2, 0), we need to calculate 8 items:
Item 1: Calculate the slope and point-slope form:
Slope (m) = y2 - y1
x2 - x1
Slope (m) = 0 - -3
-2 - -4
Slope (m) = 3
2
Calculate the point-slope form using the formula below:
y - y1 = m(x - x1)
y - -3 = 3/2(x + 4)
Item 2: Calculate the line equation that both points lie on.
The standard equation of a line is y = mx + b where m is our slope, x and y are points on the line, and b is a constant.
Rearranging that equation to solve for b, we get b = y - mx. Using the first point that you entered = (-4, -3) and the slope (m) = 3/2 that we calculated, let's plug in those values and evaluate:
b = -3 - (3/2 * -4)
b = -3 - (-12/2)
b = -6
2
-
-12
2
b = 6
2
This fraction is not reduced. Using our GCF Calculator, we see that the top and bottom of the fraction can be reduced by 6
Our reduced fraction is:
1
0.33333333333333
Now that we have calculated (m) and (b), we have the items we need for our standard line equation:
y = 3/2x + 3
Item 3: Calculate the distance between the 2 points you entered.
Distance = Square Root((x2 - x1)2 + (y2 - y1)2)
Distance = Square Root((-2 - -4)2 + (0 - -3)2)
Distance = Square Root((22 + 32))
Distance = √(4 + 9)
Distance = √13
Distance = 3.6056
Item 4: Calculate the Midpoint between the 2 points you entered. Midpoint is denoted as follows:
Midpoint =
x2 + x1
2
,
y2 + y1
2
Midpoint =
-4 + -2
2
,
-3 + 0
2
Midpoint =
-6
2
,
-3
2
Midpoint = (-3, -3/2)
Item 5: Form a right triangle and calculate the 2 remaining angles using our 2 points:
Using our 2 points, we form a right triangle by plotting a 3rd point (-2,-3)
Our first triangle side = -2 - -4 = 2
Our second triangle side = 0 - -3 = 3
Using the slope we calculated, Tan(Angle1) = 1.5
Angle1 = Atan(1.5)
Angle1 = 56.3099°
Since we have a right triangle, we only have 90 degrees left, so Angle2 = 90 - 56.3099° = 33.6901
Item 6: Calculate the y intercept of our line equation
The y intercept is found by setting x = 0 in the line equation y = 3/2x + 3
y = 3/2(0) + 3
y = 3
Item 7: Determine the parametric equations for the line determined by (-4, -3) and (-2, 0)
Parametric equations are written in the form (x,y) = (x0,y0) + t(b,-a)
Plugging in our numbers, we get
(x,y) = (-4,-3) + t(-2 - -4,0 - -3)
(x,y) = (-4,-3) + t(2,3)
x = -4 + 2t
y = -3 + 3t
Calculate Symmetric Equations:
x - x0
z
y - y0
b
Plugging in our numbers, we get:
x - -4
2
y - -3
3
Step-by-step explanation:
The distance between (-4, -3) and (-2, 0) rounded to the nearest tenth is approximately 3.6 units.
What is coordinate geometry?A coordinate plane is a 2D plane created by the junction of the x-axis and y-axis, two perpendicular lines. A coordinate system in geometry is a way to use one or more integers or coordinates to determine the positions of the points.
The distance between two points (x1, y1) and (x2, y2) in a 2-dimensional plane is given by the distance formula:
D = √ [ ( y₂ - y₁ )² + ( x₂ - x₁ )² ]
Using this formula, we can find the distance between (-4, -3) and (-2, 0) as follows:
D = √ [ ( 0 + 3)² + (-2 + 4 )² ]
D= √(2² + 3²)
D = √(13)
D ≈ 3.6
Therefore, the distance between (-4, -3) and (-2, 0) rounded to the nearest tenth is approximately 3.6 units.
To know more about coordinate geometry follow
https://brainly.com/question/7243416
#SPJ3
Please look at the picture below
Answers
Answer:
D.
Step-by-step explanation:
here is something to help you
10
What is the value of x in the equation 1 x - x = 30, when y = 15?
=
4
8
Ο Ο Ο Ο
80
200
Answers
Answer:
8
Step-by-step explanation:
how i got cause i had same answer not to long ago
Find the average of -4, -8, -12, 0, and -6.
Answers
-6
To find the average, you first have to add each of your numbers.
(-4)+(-8)+(-12)+(0)+(-6)
-30
Next, you have to divide it by the number of terms
-30/5
Your answer is -6
Will give brainliest please help. Worth lot of points
Are they similar or why are they not
Answers
Answer:
Yes they are similar due to the parallel lines of XY & BC. So, technically, the small and big triangle both will share the same base angles because corresponding angles are equal. Thus, angle AYX will be equal to angle YCB, for example.
In addition, two shapes are similar if one is an enlargement of another.
Hope this helps!
help pls rn is all in the picture
Answers
Answer:
q is -3
Step-by-step explanation:
collect like terms 12 moves to the other side
81/q = -27
q is 81/-27
therefore the answer is -3
Answer:
-9
Step-by-step explanation:
[tex]\frac{81}{q}>-39+12=-27\\81>-27 q\\q<-81/27\\q<-3\\[/tex]
so the answer is -9
Find the area of the composite figure.
Answers
So in fig 1 :
L = 14m W = 9mArea = L × WArea = 9 × 14Area = 126 m²In fig 2 :
L = 7mW = 16 - 9 = 7mArea= L × WArea = 7 × 7Area =49m² TA = 126 + 49TA = 175 m²The area of the composite figure is,
A = 175 m²
We have to given that,
A composite figure is shown.
In first part,
Lenght (L) = 14m
Width (W) = 9m
Hence, We get;
Area = L × W
Area = 9 × 14
Area = 126 m²
For second part,
Lenght (L) = 7m
Width (w) = 16 - 9 = 7m
Hence, We get;
Area= L × W
Area = 7 × 7
Area =49m²
So, We can formulate;
The area of the composite figure is,
A = 126 + 49
A = 175 m²
Learn more about the rectangle visit:
https://brainly.com/question/2607596
#SPJ2
Which proportion could be used to determine if the figures represent a dilation?
A. 2/3 = 5/8
B. 2/3 = 8/5
C. 2/8 = 5/3
D. 2/8 = 3/5
‼️HELP ME I NEED THIS ASAP. ‼️ LIKE IN 40 MINUTES . HELP ME OUT PLEASE. MUCH LOVE
Answers
Answer:3/2=6
Step-by-step explanation:
The sum of two numbers is 30. Their difference is 6. What are the numbers?
Answers
Answer:
18, 12
Step-by-step explanation:
x+y=30
x-y=6
2x=36 (add the equations before this together)
x=18
y=12
Answer:
The numbers are x = 18 and y = 12.
Step-by-step explanation:
can someone please help me with this question
Answers
Answer:
1.9.75x> 195
2.9.75x> 195
9.75/9.75x>195/9.75
x>20hrs
In this polygon, all angles are right angles.
What is the area of this polygon?
Enter your answer in the box.
Answers
Divide the shape into a square and a rectangle, multiply 7 by 10, and subtract 10 from 21 to get 11. then multiply 11 by 24. Lastly, add the products together and you get 334 feet squared. Have a good day my friend!
The area of the polygon is: 334 ft²
What is the Area of a Polygon?To find the area of a polygon, decompose the polygon into known shapes and find the area of each shape, then add all.
Thus:
Decomposing the polygon given, we would have rectangle 1 and rectangle 2.
Area of rectangle 1 = length × width = 7 × 10 = 70 ft²
Area of rectangle 2 = length × width = 24 × (21 - 10) = 264 ft²
Area of the polygon = 264 + 70 = 334 ft²
Learn more about area of polygon on:
https://brainly.com/question/21629405
I need help with this question!
HELP!!!!
Answers
Answer:
add 200 for each of the In
Step-by-step explanation:
10 plus 200 is 210
211 = 411
536 = 736
1406 = 1606
Answer: for the 211 input the output is 411 and the 536 input has a 736 input
Step-by-step explanation:
It’s adding 200 each time
Pls do this I rlly need help
Answers
Answer:
8, 5, 4, 7, 12, 9, 20, 9, 21
All explanations below!
Step-by-step explanation:
1. 1/2 times 16 = 8
2. 1/4 times 20 = 5
3. 1/3 times 12 = 4
4. 1/5 times 35 = 7
5. 2/3 times 18 = 12
6. 3/7 times 21 = 9
7. 5/8 times 32 = 20
8. 1/6 times 54 = 9
9. 3/4 times 28 = 21
It takes 2 minutes to fill a rectangular aquarium 8 inches long, 9 inches wide, 13 inches tall. How long will it take the same hose to fill an aquarium measuring 25 inches by 26 inches by 35 inches
Answers
Answer:
46.74 minutes
solve for p..........
Answers
Answer:
the answer is p = 15
Step-by-step explanation:
first you set the equation to 2p + 9 = 3p - 6
then solve out the equation by adding 6 to both sides
the equation will now look like this, 2p + 15 = 3p
now you subtract 2p from both sides
the equation now looks like 15 = p
I always flip my equations so I can read it better,
p = 15
Hope this helps! :)
16-18 help please !!!!!!
Answers
Answer:
not sure but -2
Step-by-step explanation: I did on calculator
16-18= -2
since 18 is a larger number than 16 the answer would go into a negative