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.

Answer:

Step-by-step explanation:

We are looking for 100% interest amount.

Since the yearly interest rate is 13%, time required to double the amount is:

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!

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! :)

We know

At centroid the medians of all triangles bisect eachother at 2:1 ratio

So

[tex]\\ \tt\hookrightarrow 16:VT=2:1[/tex]

[tex]\\ \tt\hookrightarrow VT=8[/tex]

[tex]\\ \tt\hookrightarrow 18;VS=2:1[/tex]

[tex]\\ \tt\hookrightarrow VS=9[/tex]

[tex]\\ \tt\hookrightarrow VU:QU=1:3[/tex]

[tex]\\ \tt\hookrightarrow VU:39=1:3[/tex]

[tex]\\ \tt\hookrightarrow VU=13[/tex]

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!

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

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 .

Answer:

1.9.75x> 195

2.9.75x> 195

9.75/9.75x>195/9.75

x>20hrs

Answer:

46.74 minutes

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)

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]

[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:

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.

In Mathematics, a fraction consists of two (2) main parts and these are:

In 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

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

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:

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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

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

Answer:

D.

Step-by-step explanation:

here is something to help you

Answer: 2 2/5

Step-by-step explanation:

Denominator stays the same, divide 12 and 5, remainder at the top

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.

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

Answer:

2.25 cups

Step-by-step explanation:

9/4 = 2.25

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.

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.

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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:

Answer:

8

Step-by-step explanation:

how i got cause i had same answer not to long ago

So in fig 1 :

In fig 2 :

The 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

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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

Answer:

not sure but -2

Step-by-step explanation: I did on calculator

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

Answer:3/2=6

Step-by-step explanation: