The area of a rectangular field is 3400 m² and its length is 68 m. Find-
(i) its breadth.
(ii) the distance covered by a man in going 5 times around the field.​

Answer:

-4 - 8-=-4

Step-by-step explanation:

Answer:

Q1 b = 105 c= 75 D=105

Step-by-step explanation:

A aNd C are the same and B and D are the same as they are opposite angles. So , 75 +75 = 150 . Then , 360 - 150 = 210 . 210÷ 2 = 105

Hence,

A= 75 B = 105 C=75 D = 105

Explanation:

On taking LHS

Cos[(3π/2)+θ]Cos(2π+θ)[Cot{(3π/2)-θ}+Cot(2π+θ)]

We know that

π = 180°

2π = 2×180° = 360°

3π/2 = (3×180°)/2 = 540°/2 = 270°

Now

LHS becomes

Cos(270°+θ)Cos(360°+θ)[Cot(270°-θ)+Cot(360°+θ)]

We know that

Cos (270°+θ) = Sin θ

Cos (360°+θ) = Cos θ

Cot (270°-θ) = Tan θ

Cot (360°+θ) = Cot θ

→ Sin θ Cos θ [Tan θ + Cot θ]

→ Sinθ Cosθ[(Sinθ/Cosθ)+(Cosθ/Sinθ)]

→ Sinθ Cosθ[(Sin²θ+Cos²θ)/(SinθCosθ)]

→ Sin θ Cos θ [1/(Sin θ Cos θ)]

Since Sin²θ+Cos²θ = 1

→ (Sin θ Cos θ)/(Sin θ Cos θ)

→ 1

→ RHS

→ LHS = RHS

Hence, Proved.

Here are the formulae that I have used:

→ π = 180°

→ Cos (270°+θ) = Sin θ

→ Cos (360°+θ) = Cos θ

→ Cot (270°-θ) = Tan θ

→ Cot (360°+θ) = Cot θ

Here are the Trigonometric Identities that I have used:

→ Sin²θ+Cos²θ = 1

Hope this helps!!

Answer:

y < (2 - 3x)/2.

Step-by-step explanation:

(3x+2y)<2

2y < 2 - 3x

y < (2 - 3x)/2

Answer:

152558.75*5%=7627.9

Step-by-step explanation:

Answer:

$750 that is the answer if you add them all up

Answer:

5

Step-by-step explanation:

x=-1/2

Answer:we are not your servers to that i should solve this problems

Step-by-step explanation:

Answer:

I have no idea? the first is 11 the second is 5 the three is 11 again the last 2 are 1

Step-by-step explanation:

Answer:

y=8x

Step-by-step explanation:

hubsdgvgcsvya

The equation that shows that the total number of markers Mrs. Larsen gets y depends on the number of boxes she buys x, will be;

⇒ y = 8x

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Mrs. Larsen wants to get some markers for her class.

She notices that they come in boxes of 8.

Now,

Let total number of markers = y

And, Number of boxes = x

Here, She notices that they come in boxes of 8.

So, We can formulate;

⇒ y = 8x

Thus, The equation that shows that the total number of markers Mrs. Larsen gets y depends on the number of boxes she buys x, will be;

⇒ y = 8x

Learn more about the mathematical expression visit:

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#SPJ2

Answer:

[tex]x=55[/tex]

Step-by-step explanation:

To solve this question you need to know some properties of a parallelogram which is the shape given.

Firstly, remember that in a parallelogram opposite angles are equal.

Secondly, remember that the diagonals of a parallelogram bisect each other.

Lastly, remember that the sum of the interior angles of a quadrilateral or a parallelogram is 360°.

So, by using the first property we can see that because [tex]<[/tex]PQR=70° then [tex]<[/tex]PSR must be equal to 70° as well.

Now, we can use the last property to find [tex]<[/tex]SPQ then, use the second property to find [tex]x[/tex].

Let's name [tex]<[/tex]SPQ, [tex]y[/tex].

and That gives:

[tex]2y+140=360[/tex]

Subtract 140 from both sides:

[tex]2y=360-140[/tex]

[tex]2y=220[/tex]

[tex]y=\frac{220}{2}[/tex]

[tex]y=110[/tex]

So, [tex]<[/tex]SPQ=110 and

Now using the second property we can find that:

[tex]<[/tex]SPQ=[tex]2x[/tex]

And [tex]2x=110[/tex]

[tex]x=\frac{110}{2}[/tex]

[tex]x=55[/tex]

Hope this helped.

1. 3n - 5

Five less = -5

Than thrice (three times) a number = 3n

2. 7n + 3

The product of 7 and a number = 7n

Added to 3 = + 3

3. 1/2(3n - 4)

One-half = 1/2

The difference of thrice a number and 4 = 3n - 4

Hope this helps!! :)

Answer:

1. 5-x

2. (7*x)+x

3. 1/2(3x-4)

Answer:

Step-by-step explanation:

g(-4) = 4   ,  x < -2

g(-2) = (x - 1)²     ; -2≤x< 1

        = (-2-1)²

         = (-3)²

g(-2) = 9

g(0) = (x -1)²      ;  -2 ≤ x < 1

      = (0 -1)²

       = (-1)²

       = 1

Answer:

None of the above

Step-by-step explanation:

20 x 4 = 80

20 + 20 +20 =20 = 80

Answer: The rule (x,y)=(y,-x) describes the

transformation

Step-by-step explanation:.........bc

Answer:

28125

Step-by-step explanation:

300÷20=15

15×1875=28125

Answer:

Step-by-step explanation:

option 2, gl

Answer:

A and C

Step-by-step explanation:

Answer:9.22

First, 670 rounded to the nearest ten is:

670

Second, 72.7 rounded to 1DP is:

well, 72.7

a÷b is:

9.2159

9.22 (2 DP)

Answer:

(0,4) and (1,2)

Step-by-step explanation:

The standard equation of a straight line is given as y = mx + b

Given the equation y = -2x + 4

Is x = 0, then;

y = -2(0) + 4

y = 4

One of the point on the graph is (0,4)

If x = 1, then;

y = -2(1) + 4

y = -2 + 4

y = 2

Hence the second point is (1, 2)

Learn more on equation of a line here: https://brainly.com/question/19417700

Answer:

x = 42 degrees

y = 37 degrees

Step-by-step explanation:

Those are right angle triangles. So you know the right angles are 90 degrees, and each triangle gives you the measurement of another angle.

So, take the triangle in the top left (x):

180 - 90 - 48 = x

Same with the other triangle (y)

180 - 90 - 53 = y

Answer:

arc VW = 66°

Step-by-step explanation:

The inscribed angle WXY is half the measure of its intercepted arc WY, so

WY = 2 × 57° = 114°

Arc YX = 180° ( semi- circle ) , then

VW = YX - WY = 180° - 114° = 66°

Answer:

66°

Step-by-step explanation:

1) m(WY)=2*57=114°;

2) m(WX)=180-m(WY)=180-114=66°

Answer:

45°

4 units

Step-by-step explanation:

Rotation changes nothing about the geometric relationships within the figure. Angle measures are unchanged; side lengths are unchanged.

The acute angles of an isosceles right triangle are (180° -90°)/2 = 45°. This is true regardless of the orientation of the triangle with respect to any coordinate axes.

The measures of the legs of your triangle are 0 -(-4) = 4 = (1 - (-3)). Rotating the figure any amount in any direction around any center doesn't change that.

Step-by-step explanation:

(4s + 2) × (5s² + 10s +3)

we know immediately the first and the last term of the result, because there is only one operation to build them :

20s³ and 6.

so, the first answer option is already eliminated.

let's multiply

4s×5s² + 4s×10s + 4×3s + 10s² + 20s + 6

20s³ + 40s² + 12s + 10s² + 20s + 6

20s³ + 50s² + 32s + 6

so, the last answer option is correct.

Explanation:

On taking LHS

Cos[(3π/2)+θ]Cos(2π+θ)[Cot{(3π/2)-θ}+Cot(2π+θ)]

We know that

π = 180°

2π = 2×180° = 360°

3π/2 = (3×180°)/2 = 540°/2 = 270°

Now

LHS becomes

Cos(270°+θ)Cos(360°+θ)[Cot(270°-θ)+Cot(360°+θ)]

We know that

Cos (270°+θ) = Sin θ

Cos (360°+θ) = Cos θ

Cot (270°-θ) = Tan θ

Cot (360°+θ) = Cot θ

→ Sin θ Cos θ [Tan θ + Cot θ]

→ Sinθ Cosθ[(Sinθ/Cosθ)+(Cosθ/Sinθ)]

→ Sinθ Cosθ[(Sin²θ+Cos²θ)/(SinθCosθ)]

→ Sin θ Cos θ [1/(Sin θ Cos θ)]

Since Sin²θ+Cos²θ = 1

→ (Sin θ Cos θ)/(Sin θ Cos θ)

→ 1

→ RHS

→ LHS = RHS

Hence, Proved.

Here are the formulae that I have used:

→ π = 180°

→ Cos (270°+θ) = Sin θ

→ Cos (360°+θ) = Cos θ

→ Cot (270°-θ) = Tan θ

→ Cot (360°+θ) = Cot θ

Here are the Trigonometric Identities that I have used:

→ Sin²θ+Cos²θ = 1

Answer:

The lesson ends at 5:15 pm.

Answer:

Her piano lesson ends at 5:15pm

Hope it helps:)

The density of the gold sample is 19.3g/cm³

Let the mass of the gold sample be represented by m

m = 579 g

Let the volume of the gold sample be represented by V

V = 30 cm³

Let the density of the gold sample be represented by ρ

The formula for the density is:

[tex]Density = \frac{Mass}{Volume}[/tex]

[tex]\rho = \frac{m}{V} \\\rho = \frac{579}{30} \\\rho = 19.3 g/cm^3[/tex]

The density of the gold sample is 19.3g/cm³

Learn more here: https://brainly.com/question/17780219

Answer:

y = x-7

Step-by-step explanation:

Slope intercept form is

y = mx+b  where m is the slope and b is the y intercept

2y -2x = -14

Add 2x to each side

2y-2x+2x= 2x-14

2y = 2x-14

Divide by 2

2y/2 = 2x/2 -14/2

y = x-7