The area of a rectangular field is 7050 m2.
If the width of the field is 75 m, what is its length?

Answer:L=11.3

W=1.3

Step-by-step explanation:

[tex] \\ [/tex]

[tex] \\ [/tex]

So to find actual length and width of rectangle, we need to find value of x.

[tex] \\ [/tex]

we know:-

[tex] \bigstar \boxed{ \rm Area~of \: rectangle = length \times width}[/tex]

[tex] \\ [/tex]

So:-

[tex] \\ [/tex]

[tex] \hookrightarrow \sf Area~of \: rectangle = length \times width \\ [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf 15=(x + 5)(x - 5) \\ [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf 15=x (x - 5) +5(x - 5)\\ [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf 15=x^2 - 5x +5(x - 5)\\ [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf 15=x^2 - 5x +5x - 25\\ [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf 15=x^2 - \cancel {5x} +\cancel {5x} - 25\\ [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf 15=x^2 -0 - 25\\ [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf 15=x^2 - 25\\ [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf 15 + 25=x^2 \\ [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf 15 + 25=x^2 \\ [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf 40=x^2 \\ [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x^2 = 40\\ [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x = \sqrt{40}\\ [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x = \sqrt{2 \times 2 \times 10}\\ [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x = 2 \sqrt{10}\\ [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x = 2 \times 3.16\\ [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x = 2 \times 3.16\\ [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \bf x = 6.32(approx)\\ [/tex]

[tex] \\ [/tex]

[tex] \\ [/tex]

Answer:

x=135.8291448

Step-by-step explanation:

Answer:

1. not congruent

2. sss congruent

3.not congruent

5.asa

6.sas

Answer:

She will have 7 extra bags.

Step-by-step explanation:

[13(7+6)]/9

(13 * 13)/9

169/9

18.8

9 * 18 = 162

169 - 162 = 7

She will have 7 extra bags.

Answer:

4/7

Step-by-step explanation:

The conditional probability of A and B happening : P(AnB) is 1/6, and the conditional probability of B happening : P(B) is 7/24, the probability of A happening is 1/6 : 7/24 = 4/7

P(A/B) = Given that B occurs, find the probability of A occuring

Answer:

$70.5

Step-by-step explanation:

Given that,

Total sales=90*3+60*4= 470

So,

Commission 15%

470*.15=$70.50 Ans

Answer:

Step-by-step explanation:

Answer:

In order to find the slope, we would need to format the coordinates like rise over run (y/x)

We find two points, (-6, 12) and (-5, 14)

Now we subtract the y coordinates from each other and do the same for the x coordinates

14 and 12 are our y coordinates so that will be our rise

-5 and -6 are x coordinates so that will be our run

14 - 12             2

_______ = ______

-5 - (-6)           1

2 is the slope

Answer:

50 cycles

Step-by-step explanation:

To find this out, we need to know how many cycles he sells a day. So as given he sells 5 cycles in 2 days, so what is half of five? While 2.5 cycles wouldn't make sense, lets use the variable to see what our answer would be approximately.

2.5 cycles x 20 days = 50 cycles.

So, in 20 days Josh would sell 50 cycles.

Answer:

50 cycles will be sold in 20 days

Step-by-step explanation:

2 days⇒5 cycles

1 day⇒5 divided by 2 days

20 days⇒5 cycles multiplied by 20 days divided by 2 days then the final answer is 50 cycles.

Answer:

Each answer is negative

Each equation has a four within it, either negative or positive

Step-by-step explanation:

-4x3=-12

3x-4=-12

5x-4=-20

Answer:

-3

Step-by-step explanation:

go DOWN 3 and side 1 so -3/1 or -3

Answer: 5/6 will be greater than 5/8.

Step-by-step explanation:

Answer:

a. 60km/2hours =30km per hour. 12/30=0.4 hours. 24 minutes

Step-by-step explanation:

Triangular prism: 2 bases and 5 faces

Pentagonal prism: 2 bases and 7 faces

Answer:

I hope this is right

Step-by-step explanation:

A triangular prism has two triangular bases and five faces.

A pentagonal prism has two pentagonal bases and seven faces.

I really hope this is right :)

Answer:

Step-by-step explanation:

A. 3x+21=6x-60 -> 3x=81 -> x=27. So false. The value of x=27.

B. True. Alternate interior angles theorem.

C. False. The marked angles are alternate interior angles.

Answer: A

Step-by-step explanation:

Each y value is half of the x value.

Answer:

11. x = 32.6°

12. x = 27.0

Step-by-step explanation:

Question 11

[tex]\sin(\theta)=\dfrac{\textsf{opposite side}}{\textsf{hypotenuse}}[/tex]

Given:

[tex]\implies \sin(x)=\dfrac{7}{13}[/tex]

[tex]\implies x=\sin^{-1}\left(\dfrac{7}{13}\right)[/tex]

[tex]\implies x=32.6\textdegree \textsf{ (nearest tenth)}[/tex]

Question 12

[tex]\sin(\theta)=\dfrac{\textsf{opposite side}}{\textsf{hypotenuse}}[/tex]

Given:

[tex]\implies \sin(64\textdegree)=\dfrac{x}{30}[/tex]

[tex]\implies x=30\sin(64\textdegree)[/tex]

[tex]\implies x=27.0\textsf{ (nearest tenth)}[/tex]

Given that: √{11 + 4√(7)}

Let √{11 + 4√(7)} = √(x) + √(y)

Squaring on both sides then

= [√{11 + 4√(7)}]² = {√(x) + √(y)}²

= 11 + 4√(7) = x + y + 2√(xy)

= 11 + 2√(7 * 2²) = x + y + 2√(xy)

= 11 + 2√(7 * 2*2) = x + y + 2√(xy)

= 11 + 2√(7 * 4) = x + y + 2√(xy)

= 11 + 2√(28) = x + y + 2√(xy)

On comparing with both sides, we notice that:

⇛2√(xy) = 2√(28)

⇛ xy = 28

We know that

(x-y)² = (x+y)² - 4xy

(x-y)² = (11)² - 4(28)

(x-y)² = (11*11) - 112

(x-y)² = 121 - 112

(x-y)² = 9

x - y = √(9)

x - y = √(3*3)

On adding equation (1) and equation (2), we get

x + y = 11

(+) x - y = 3

_______

2x = 14

Shift the number 2 from LHS to RHS, changing it's sign.

⇛x = 14/2

⇛x = 7/1

Simplify the fraction to get the value of x.

Now, substitute the value of x in equation (1) then

x + y = 11

⇛7 + y = 11

Shift the number 7 from LHS to RHS, changing it's sign.

⇛y = 11 - 7

Now, we have: x = 7 and y = 4

So,

√(x) + √(y) = √(7) + √(4) = √(7) + √(2*2) √(7) + 2

(Or)

√{11 + 4√(7)}

= √{11 + 2√(7*4)}

= √{11 + 2√(7)√(4)}

= √[{√(7)²} + {√(4)}² + 2√(7)√(4)

[since, (a+b)² = a² + 2ab + b²]

= √[{√(7) + √(4)}²]

= √(7) + √(4)

= √(7) + √(2*2)

Therefore, √{11 + 4√(7)} = √(7) + 2

Answer: Hence, the simplified form of √{11 + 4√(7)} is √(7) + 2

also read similar questions: Simplify: 3√4 508/1331 I am new in brainly. This is one of my homework assignment maths question.

https://brainly.com/question/26352309?/referrer

Please let me know if you have any other questions.

The solution √(11 +4 √7) is mathematically given as

x=4.64575131

Question Parameters:

√(11 +4 √7)

The question requires resolving the above expression and deciphering the solution

Generally, the equation is mathematically given as

x=√(11 +4 √7)

Hence

x=√(11 +4*2.64575131)

In conclusion, The resolution of the expression  x=√(11 +4 √7) is

x=4.64575131

Read more about  Arithmetic

https://brainly.com/question/22568180

Answer: x = 6

Step-by-step explanation:

The midsegment is half of the side it's parallel to.

Therefore 2*(3x-1) = 34

3x-1 = 17

3x = 18

x = 6

The equation that represents this situation is 560m = 8400

An equation is an expression that shows the relationship between two or more variables and numbers.

Let m represent the number of minutes taken to discharge the water. Hence this can be represented by:

560m = 8400

The equation that represents this situation is 560m = 8400

Find out more on Equation at: https://brainly.com/question/2972832

Answer:

A is the answer

Step-by-step explanation:

I hope it helps sorry kung mali

Answer:

I'm going to put the most shells possible on the necklaces this would be 38, 38x5=190, meaning that we have a remainder of 2.

2 shells would be on the magnet

Answer:

54 yds²

Step-by-step explanation:

Area of 1 side: 3*3=9

Number of sides: 6

6*9=54

Answer:

54 square yards

Step-by-step explanation:

This is a cube, as the width, height, and length are all the same. To fine the surface area of a cube, simply find the area of one side and multiply it by six, as a cube has six sides.

[tex]Area = Width*Height\\Area = 3 * 3\\Area = 9[/tex]

The area of one side of the cube is 9 square yards. Therefore, the surface area of the entire cube is 6 x 9 or 54 square yards.

Answer:

Step-by-step explanation:

You got it right: the point (0, -1) is another point on the graph of y = 3x - 1.

Substituting 0 and -1 back into the equation, y = 3x - 1:

-1 = 3(0) - 1

So the pint is also a solution to the equation.

I think this is the answer

Answer:

Consistent independent

x + y = 0  and  -x + y = -8

Step-by-step explanation:

Inconsistent: parallel lines, no solutions

Consistent dependent: same line, infinite solutions

Consistent independent: intersects at one point, one solution

Therefore, the pair of lines are Consistent independent

From inspection of the diagram:

One line has a negative slope and the other a positive slope.

One has a y-intercept of 0 and the other a y-intercept of -8.

Therefore, the solution is x + y = 0  and  -x + y = -8

Because:

x + y = 0  ⇒  y = -x  (neg slope, y-intercept of 0)

-x + y = -8  ⇒  y = x - 8  (pos slope, y-interecept at -8)

Answer:

A Line which passes through the mid-point of a segment and is perpendicular on the segment is called the perpendicular bisector of the segment.

Segment joining a vertex to the mid-point of opposite side is called a median.

Step-by-step explanation:

Answer:

h = 1200 - 34t

Step-by-step explanation:

25 minutes, descend 850 feet, so each minute, descend 850/25 = 34 feet

after t minutes, descend 34*t feet,

starting at 1200 feet, so the height is h = 1200 - 34t

Answer:

Step-by-step explanation:

in similar triangles

[tex]\frac{a}{c+d} =\frac{c}{a} =\frac{e}{d} \\[/tex]

taking first two

c(c+d)=a²