Calculate the kinetic energy of a boy of mass 65kg running with average speed of 20m/s (3mks)

Answer:

Step-by-step explanation:

1) with the angle 120degrees, we know that external angles on a pair of parallel lines are the same. we can give this as an equation  

120 = x + 130

re arrange to make x the subject

so subtract 130 on both sides

120-130=x

-10=x

x=-10

2) Corresponding angles in between parallel lines are the same. we can write this as

15x = 75

rearrange to make x the subject

x = 75 ÷ 15

x = 5

3)Internal angles inbetween parallel lines add to 180, so we can turn this into an equation

14x - 3 = 85

14x = 88

x = 88 ÷ 14

x = 6.285714 or just 6.29

Answer:

Triple the square of a number is represented as:

⭐ Let "x" be the unknown number , we express:

Triple a number: 3x

The square of a number: x²

So, the expression for "Three times the square of a number" is:

3x²

The mathematical language uses algebraic expressions (numbers or letters) united by basic operations such as addition, subtraction, multiplication, and division.

Step-by-step explanation:

Answer:

The answer is 18

Step-by-step explanation:The part is 180 the whole is 1000, p/h=x/100, cross multiply, 180 times 100= 18000, 18000/1000=18

Answer:

15/5×20

Step-by-step explanation:

First divide both side of the cylinder. and do the length of the cylinder by formula

Answer:

x=-6

QUESTION 31

Step-by-step explanation:

3x+5=2x-1

Subtract 5 from both sides

3x+5-5=2x-1-5

Simplify

3x=2x-6

Subtract 2x from both sides

3x-2x=2x-6-2x

QUESTION 32

1/3(6x+12) = 1/2(4x-8) + 8

1/2(4x-8) = 4x-8/2 +8

1/3(6x+12) = 4x-8/2 +8

2(6x+12) = 12(x-2) + 48

12x+24

12x+24 = 12x+24

12x+24 - 24 = 12x+24 - 24

12x=12x

0=0

Answer:

ACD

Step-by-step explanation:

jo welcome

Answer:

[tex]5 (x - 3)( {x}^{2} + 3x + 9)[/tex]

Step-by-step explanation:

[tex]5 {x}^{3} - 135 \\ \\ = 5 \{ {x}^{3} - 27 \}\\ \\ = 5 \{ {x}^{3} - {(3)}^{3} \}\\ \\ = 5 (x - 3)( {(x)}^{2} + (x)(3) + {(3)}^{2} )\\ \\ = 5 (x - 3)( {x}^{2} + 3x + 9)[/tex]

Answer: If the question is asking to find the factor of 5x^3-135 then the answer is:
5(x-3)(x^2+3x+9)

Step-by-step explanation:

First, factor out the common term (x^3-27)

5(x^3-27)

Then, factor (x^3-27)

(x-3)(x^2+3x+3^2)

3^2 = 9

5(x-3)(x^2+3x+9) is the answer.

Step-by-step explanation:

Factor the trinomial with the GCF.

The GCF of all of the terms is 3.

Using the GCF:

[tex]3(5n^2-9n-2)[/tex]

Using 2 binomials to factor:

[tex]3(5n+1)(n-2)[/tex]

When unfactorized, the expression will equal [tex]15n^2-27n-6[/tex].

Answer: B

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

the median is the value in the middle of all measured data points in that sense that half of the other data points are smaller, and half of the other data points are bigger.

if there are 2 middle numbers (because we have an even number of data points), then the mean value between these 2 middle numbers is then the median.

in order to find the median, we need to sort the data points first (best from small to large) :

4, 5, 5, 6, 7, 7, 7, 8, 8, 9, 9, 10

since these were the passing students, we know that the marks of the not passing students must be below that. so that our sorted list looks like

m1, m2, m3, 4, 5, 5, 6, 7, 7, 7, 8, 8, 9, 9, 10

now we have 15 data points, so the median is the data point with 7 left and 7 right of it : 7

Answer:

2720 g i think

Step-by-step explanation:

Ok so (this is just what i did)

Step-by-step explanation:

Water (L)     Carbon dioxide (G)

20                   136

1                      6.8

8                     54.4                    

Answer:

a) 120

Explanation:

y is 100%

x is 130%

solve:

130% ↔ 520

100% ↔ (520/130)*100

100% ↔ 400

the X - Y:

520 - 400

120

Answer:

409

Step-by-step explanation:

276+133

ans=409

Answer:

w=143

Step-by-step explanation:

133=276-w Subtract 276 from both sides

-143=-w Divide by - 1

143=w

Answer:

(6;-3).

Step-by-step explanation:

[tex]\left \{ {{-2x-5y=3} \atop {3x+8y=-6}} \right. \ = > \ \left \{ {{x+3y=-3} \atop {3x+8y=-6}} \right. \ = > \ \left \{ {{x+3y=-3} \atop {-y=3}} \right. \ = > \ \left \{ {{y=-3} \atop {x=6}} \right.[/tex]

Answer:

The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer. The property holds for Addition and Multiplication, but not for subtraction and division.

Answer:

  (b)  4.2

Step-by-step explanation:

The distance from a point to a line can be found using the formula. To use it, we need the equation of the line in general form.

We notice that the coordinates of the given points have the same y/x = 2/3 ratio. This means they lie on the line y = 2/3x. The equation for that line, written in general form is ...

  y = 2/3x

  3y = 2x

  2x -3y = 0 . . . . . . general form equation for the line through the points.

The formula for the distance from (x, y) to the line ax+by+c=0 is ...

  d = |ax +by +c|/√(a²+b²)

The distance from (x, y) to our line is given by the formula ...

  d = |2x -3y|/√(2² +(-3)²)

  d = |2x -3y|/√13

For point P(9, 11), the distance to the line is ...

  d = |2·9 -3·11|/√13 = |18 -33|/√13 = 15/√13 ≈ 4.2

Answer:

The last one where the mean is =-26.5 and the range is = 40

Step-by-step explanation:

Answer:

b = 142

Step-by-step explanation:

A = 38

B = ?

Total degree of line: 180

We will first subtract 38 off of 180 as seen below

180 - 38

Once we do that we will figure out what B equals.

180 - 38 = 142

Have an amazing day!!

PLEASE RATE AND MARK BRAINLIEST!!

Answer:

Circles are all similar, and "the circumference divided by the diameter" produces the same value regardless of their radius. This value is the ratio of the circumference of a circle to its diameter and is called (Pi).

Step-by-step explanation:

Answer:

The relationship between the Circumference of a circle and the diameter of the circle is that The circumfrence depends on the outside of the circle and around. Diameter depends on the Inside from side to side completely.

Step-by-step explanation:

The formula to find circumference : C= Pi x d or 3.14 x diameter.

The formula to find the circle's diameter is R x 2 or Radius x 2

Becuase the radius is half of a diameter so to find diameter in the radius just multiply by two and you have your answer.

Can I Please get Brainliest if I am right.

[tex][Hello,BrainlyUser][/tex]

Answer:

$64.40

Step-by-step explanation:

Given:
Pitcher sells for $46.00

Marked up 40%

Note:

Marked up = Increase

40% = .40

Solve:

46.00 x .40=18.40

46.00 + 18.40 = $64.40

Hence, Cost of the pitcher = $64.40

[CloudBreeze]

Answer:

Last option

Step-by-step explanation:

Tis is because there is not much simplification of the expression that can happen.

Answer:9 cups

Step-by-step explanation:

if one batch is one cup obviously it would be 9 cups

Answer:

  f(x) = 2e^(x^3/3) +1

Step-by-step explanation:

This is called a "separable" differential equation, because the variables can be separated:

  [tex]\dfrac{dy}{y-1}=x^2\cdot dx[/tex]

Now, both sides can be integrated.

  [tex]\displaystyle \int{\dfrac{dy}{y-1}}=\int{x^2}\,dx\\\\\ln(y-1)=\dfrac{x^3}{3}+c_1\\\\y-1=c_2\cdot e^{x^3/3}\qquad c_2\text{ is a free constant different from $c_1$}\\\\3=c_2e^0+1\qquad\text{apply initial condition to find $c_2=2$}\\\\\textsf{Add 1 to get y alone. Use the found value of $c_2$. Replace $y$ with $f(x)$.}\\\\\boxed{f(x)=2e^{x^3/3}+1}[/tex]

To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.