Factorise the following completely 6x(squared) + 11xy + 5y(squared)

Answer:

5pi/9 radians--100 degrees

Step-by-step explanation:

Answer:

108

Step-by-step explanation:

73--35=108

Answer:

3,3/2

Step-by-step explanation:

let 10,-6 be x1, y1

-4,-9 be x2, y2

(x1+x2)/2 , (y1+y2)/2

(10-4)/2 , (-6+9)/2

6/2 , 3/2

3 , 3/2

Answer:

(3, -7.5)

Step-by-step explanation:

Use the midpoint formula: (x1 + x2) / 2 , (y1 + y2) / 2

Plug in the points:

(10 - 4) / 2 , (-6 - 9) / 2

6/2 , -15/2

3, -7.5

So, the midpoint will be at (3, -7.5)

Answer:

B and C

Step-by-step explanation:

A statistical question has more than one answer therefore multiple people could have different number of pets or different favorite flavor of ice cream.

Hope that helped :)

Answer:

63/72

36/72

56/72

Step-by-step explanation:

7/8

The denominator has to be 72. So, we find a factor of 72 with 8. it is 9.

7*9= 63

8*9= 72

63/72

For 1/2:

1*36=36

2*36=72

36/72

For 7/9:

7*8=56

9*8=72

56/72

Explanation:

First, we need to identify the coordinates of the vertex of the triangle. So, the coordinates are:

A(-1, 1)

B(-4, 1)

C(-1, 4)

Then, if we reflect over the x-axis, every vertex is transformed using the following rule:

(x, y) ------> (x, -y)

So, the coordinates of the vertex are now:

A(-1, 1) -----> (-1, -1)

B(-4, 1) -----> (-4, -1)

C(-1, 4) ------> (-1, -4)

Then, we need to translate the triangle using the rule:

(x, y) --------> (x + 6, y + 2)

So, the coordinate of the translated triangle are:

(-1, -1) ---------> (-1 + 6, -1 + 2) = A'(5, 1)

(-4, -1) ---------> (-4 + 6, -1 + 2) = B'(2, 1)

(-1, -4) ---------> (-1 +6, -4 + 2) = C'(5, -2)

Therefore, the graph of the triangle after the reflection and the translation is:

Answer:

To study and get work done and to understand the material

Step-by-step explanation:

Answer:

Step-by-step explanation:

sin = opposite / hypotenuse

Answer:

9 feet 2 inches

Step-by-step explanation:

Given :

⇒ Height of SUV = 6 feet 4 inches

⇒ Height of box = 2 feet 10 inches

============================================================

Solving :

⇒ Total Height = Height of SUV + Height of box

⇒ Total Height = 6 feet 4 inches + 2 feet 10 inches

⇒ Total Height = 8 feet 14 inches

* But, 12 inches = 1 feet *

Hence,

⇒ Total Height = 8 feet + 1 foot + 2 inches

⇒ Total Height = 9 feet 2 inches

Answer:

10:35

11:35

12:35

1:35

2:35

=Thats 4 hours

and then 40-35=5

So 4hours 5 minutes

Answer:

yeah

Step-by-step explanation:

im reply cause I want to ask a questionbx

You should buy approximately 1.067 kilograms of apples at $10.20 per kilogram in order to have the kilogram of fruit cost $8.15.

Let's assume that Sally bought x kilograms of apples at $10.20 per kilogram.

The total cost of bananas is given as AED 7.35 per kilogram, and Sally bought 1.4 kilograms of bananas. So, the cost of the bananas is:

Cost of bananas = AED 7.35 * 1.4 = AED 10.29

The total cost of apples is given by the equation:

Cost of apples = $10.20 * x

The total cost of the fruits combined should be AED 8.15 per kilogram. So, the equation becomes:

Total cost of fruits = (Cost of bananas + Cost of apples) / (1.4 + x) = AED 8.15

Substituting the known values, we have:

(10.29 + 10.20 * x) / (1.4 + x) = 8.15

Cross-multiplying and simplifying, we get:

10.29 + 10.20 * x = 8.15 * (1.4 + x)

Expanding the equation, we have:

10.29 + 10.20 * x = 11.41 + 8.15 * x

Rearranging the equation, we get:

10.20 * x - 8.15 * x = 11.41 - 10.29

1.05 * x = 1.12

Dividing both sides by 1.05, we find:

x = 1.12 / 1.05

x ≈ 1.067

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The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.

We have,

To evaluate the limit of the expression as x approaches 0, we can simplify the expression first.

The expression is given as lim(x approaches 0) (cosec(2x) - x cosec³(x)).

Using trigonometric identities, we can rewrite cosec(2x) as 1/sin(2x) and cosec³(x) as 1/(sin(x))³.

Substituting these into the expression,

We get lim(x approaches 0) (1/sin(2x) - x (1/(sin(x))³)).

Now, let's evaluate the limit term by term:

lim(x approaches 0) (1/sin(2x)) = 1/sin(0) = 1/0 (which is undefined).

lim(x approaches 0) (x (1/(sin(x))³))

= 0 (1/(sin(0))³)

= 0 x 1/0 (which is also undefined).

Since both terms of the expression are undefined as x approaches 0, we cannot determine the limit of the expression.

Therefore,

The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.

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Using Trigonometric ratios, the value of missing angle is 60.45°.

There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

If we draw an imaginary line dividing the given triangle in 2 equal parts,

we will get 2 right angled triangles.

So, using trigonometric ratios,

Sin θ = Perpendicular / hypotenuse

⇒ Sin 70 ° = perpendicular / 14

⇒ 0.94 = perpendicular / 14

⇒ perpendicular = 0.94 × 14

⇒ perpendicular = 13.16

Now the other right angled triangle is

Sin θ = Perpendicular / hypotenuse

⇒ Sin θ = perpendicular / 15

⇒  Sin θ = 13.16 / 15

⇒ θ = sin⁻¹(13.16 / 15)

⇒ θ = sin⁻¹(0.87)

⇒ θ = 60.45

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The Solution for the given problem is 6x² +4x

What is Polynomial?

A polynomial is a mathematical statement made up of indeterminates and coefficients that solely includes the operations of addition, subtraction, multiplication, and positive-integer powers of variables.

Solution:

We are given with the values of the following terms f(x), g(x), and m(x)

f(x) = 3x² + 5x - z

g(x) = 5x² - 3x + z

m(x) = 2x² - 2x

To find: f(x) + [g(x) - m(x)]

so, we need to put the respective values in the equation and simplify it

3x² + 5x - z + [5x² - 3x + z - 2x² + 2x]

3x² + 5x - z + [3x² - x + z]

6x² +4x

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The determinant of the given elementary matrices is  20 .

What is a Matrix ?

The matrix is defined as an arrangement of set of numbers arranged in rows and columns to form a rectangular array.

In the matrix the horizontal elements are called as Rows and

the vertical elements are called as Columns .

In the question ,

it is given that ,

the matrix is  \(\left[\begin{array}{ccc}8&5\\4&5\end{array}\right]\)  ,

the determinant of the matrix is represented as ⇒ (8×5 - 5×4)

Simplifying the given expression further ,

we get ,

= 40 - 20

= 20 .

Therefore , the determinant is 20 .

The given question is incomplete, the complete question is

Compute the determinants of the elementary matrices given as \(\left[\begin{array}{ccc}8&5\\4&5\end{array}\right]\) .

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The probability that the average length of a randomly selected bundle of steel rods is greater than 168.58 cm is 0.7486

First, we need to calculate the z-score for the sample mean:

z = (x - μ) / (σ / √n)

z = (168.58 - 169) / (2.2 / √10)

z = -0.67

Next, we need to find the probability that a randomly selected bundle of steel rods will have a mean length greater than 168.58 cm. This is equivalent to finding the area under the standard normal distribution curve to the right of z = -0.67.

Using a standard normal distribution table or calculator, we find that the probability is 0.7486.

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Answer:

a: 2

b:93

Step-by-step explanation:

x=3  

y-5

a)

4x-2y    given

4(3)-2(5)  substitution

12-10        multiply

2               subtract

b)

2x^2+3y^2       given

2(3^2)+3(5^2)  substitution

2(9)+3(25)       solve exponent

18+75               multiply

93

Answer:

A would be 2 assuming x=3 and y=5

B would be 36 + 225 . So I believe the answer is 261

Step-by-step explanation:

I hope you ace your test

Answer:

Exterior angles of a triangle equals to 360.
360/3 = 120

X=120

The ranking based on average speed is 1 > 2 > 4 > 3

(a) Based on the given information, we have:

V1 = V2: The objects on paths 1 and 2 have the same average velocity.

V3 < V4: The object on path 4 has a greater average velocity than the object on path 3.

(b) Average speed is simply the distance traveled divided by the time interval. If the objects move at a constant speed along each path, then the paths with the greatest distances will have the greatest average speeds. Therefore, the ranking based on average speed is:

1 > 2 > 4 > 3

Note that this ranking is based only on the distances traveled along each path, and does not take into account the directions of motion or any changes in direction.

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Answer:

Personality impacts how we prefer to communicate with people, as well as how we ourselves respond to information. The more we understand our own communication styles and those of the people we work with, the more effective we can be as leaders, teams, and colleagues

Step-by-step explanation:

Answer:

y=-3/4x+5

Step-by-step explanation:

3x+4y>20

4y>-3x+20

y>-3/4x+5

Answer:

Step-by-step explanation:

base area=41.57 in²

height=9 in

volume=41.57×9=374.13 in³

Answer:

Question 1091219: T is the midpoint of PQ PT=6x+5 a. Find the value of x. TQ=8x-6 b. Find PT, TQ, and PQ. Answer by greenestamps(7331) (Show Source): You can put this solution on YOUR website! If T is the midpoint of PQ, then PT = TQ.

Step-by-step explanation:

Answer:

PQ = 8x + 2

Step-by-step explanation:

Since, T is the midpoint of PQ.

Therefore,

PQ = PT + QT

= (6x - 3) + (2x + 5)

= 6x + 2x + 5-3

PQ = 8x + 2

Answer:

<

Step-by-step explanation:

<

Answer: 600 tiles

Step-by-step explanation:

Area of the hall (assuming a typo and is metres,) = 900x400

                         = 360000cm2

Area of the tiles = 600cm2

Amounts of tiles able to be used = 360000/600

                                                       = 600 tiles.

Answer:

Step-by-step explanation:

I think 9cm and 4 cm are the lengths of the tile. so assuming that

First, we need to calculate the area of the floor in square centimeters:

Area of the floor = length x width

Area of the floor = 20cm x 30cm

Area of the floor = 600 square centimeters

Next, we need to calculate the area of one tile in square centimeters:

Area of one tile = length of tile x width of the tile

Area of one tile = 9cm x 4cm

Area of one tile = 36 square centimeters

To find the number of tiles needed to cover the floor completely, we need to divide the area of the floor by the area of one tile:

Number of tiles needed = Area of the floor / Area of one tile

Number of tiles needed = 600 square centimeters / 36 square centimeters

Number of tiles needed = 16.67

Since we can't have a fraction of a tile, we round up to the nearest whole number. Therefore, we need 17 tiles of size 9cm by 4cm to cover the floor completely.

Answer:

400,000

Step-by-step explanation:

➟ 10 × 4 ten thousand

Since, a ten thousand = 10,000 therefore 4 ten thousand = 40,000

➟ 10 × 40,000

➟ 400,000

Answer:

1. left 2. right

Step-by-step explanation:

you can draw a number line, it helps a lot!