The area of a pasture is 4200 m and the perimeter is 260 m. What are the length and width of the pasture?

Answer:

x=23

Step-by-step explanation:

solved the variable

Answer:

x = 23

Step-by-step explanation:

All triangle angles add up to 180 so:

x + 3x + 3 + 85 = 180

4x + 88 = 180

4x = 180 - 88

4x = 92

x = 23

Answer:

X =64

Step-by-step explanation:

Answer:

113.1 cm²

Step-by-step explanation:

we are given the diameter of the circle (length is 12 cm), and the formula for the area of the circle, which is πr², where r is the radius

so first, we need to find the radius

the length of the radius is half the length of the diameter

so that means that r=d/2

r=d/2

r=12/2

r=6

therefore the length of the radius is 6

now square 6, which is the same as multiplying it by itself

6²=36

now, multiply the radius squared by π, which is often substituted for as 3.14 or 22/7  

so if we were to do 22/7 for instance,

36*22/7≈113.14

round that to 113.1

there's your answer :)

Hope this helps!

Answer:

a = 30°

Step-by-step explanation:

We need to find the value of a.

We know that, a straight line makes an angle of 180°.

In this case,

a+3a+2a = 180

6a = 180

a = 30°

So, the value of a is equal to 30°.

Answer:

1033.2 g or 1.033 kg

Step-by-step explanation:

(620/12)(20) = 1033.2 g

Answer:

the answer is 11

Step-by-step explanation:

if you take 18 divided by 3 and then 2 times that plus 2 and minus 25 it is 11

Answer:

150

Step-by-step explanation:

The LCM of 10,15,25 10 , 15 , 25 is 2⋅3⋅5⋅5=150 2 ⋅ 3 ⋅ 5 ⋅ 5 = 150 .

Answer:

51

Step-by-step explanation:

largest number - smallest number

54 - 3 = 51

Answer:

51

step by step

Explanation: The range of a data set is the difference between the largest number in the data and the smallest number in the data set which in this case is 54 - 3 of 51. So the range of this data set is 51.

Answer:

A.

Step-by-step explanation:

it is the only one that makes sense, because it deals with 8th graders, all others include gender which i do not think that matters.

Answer:

The answer to the above question would be true

Answer:

x = 33°

Step-by-step explanation:

x = 180° - 80° - 67° = 33°

Answer:

A.

[tex]4x {}^{2} + \frac{3}{2} x - 7[/tex]

Step-by-step explanation:

Add theses functions

[tex] \frac{x}{2} - 3 + 4 {x}^{2} + x - 4 \\ 4 {x}^{2} + \frac{3}{2} x - 7[/tex]

Answer:

foreal

Step-by-step explanation:

Answer:

I think it would be Malia but if I'm wrong please let me know.

Answer:

B. 160 minutes

Step-by-step explanation:

200/5=40

40*4=160

Answer:

160

Step-by-step explanation:

You would have to divided the recent pages (200) with the previous (5)

and you would get 40 and then you would multiply the divided amount page with the 4 minutes and you would get 160

How it was worked out:

200 / 5 = 40, 40 x 4 = 160

Answer:

B

Step-by-step explanation:

Answer:

48.8m

Step-by-step explanation:

Formula for square area = [tex]a^{2}[/tex] = 148.84 [tex]m^{2}[/tex]

=> a = [tex]\sqrt{148.84}[/tex] = 12.2

Formula for square perimeter = 4a = 4 x 12.2 = 48.8 m

The perimeter of the given square is 48.8 m.

The perimeter of any closed geometrical object is defined as the distance around that object. The perimeter of a square is the distance covered by its four sides.  Perimeter surrounds or outlines the shape in a two-dimensional plane.

Since all the sides of a square are equal, therefore, the perimeter of square will be 4 times its side, i.e. 4 × Side. It is measured in units, such as m, cm, in, ft, etc.

According to question,

Given area of a square = 148.84 m²

We all know that,

Area of a square = (Side)²

⇒ (Side)² = 148.84 m²

⇒ Side = √(148.84 m²)

⇒ Side = 12.2 m

Therefore, perimeter of the given square = 4 × Side

                                                                     = 4 × 12.2

                                                                     = 48.8 m

Hence the perimeter of a square = 48.8

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Answer:

A) The width is 12 cm; the average time is 3 minutes

Step-by-step explanation:

[tex]\frac{5}{3}= \frac{20}{y}[/tex]

Cross multiply.

5 × y = 3 × 20

5y = 60

5y ÷ 5 = 60 ÷ 5

y = 12

The width is 12 cm. Moving onto the time.

[tex]\frac{12}{4} =\frac{y}{1}[/tex]

Cross multiply.

4 × y = 12 × 1

4y = 12

4y ÷ 4 = 12 ÷ 4

y = 3

The time is 3 minutes.

Answer:

answer is d sorry if I'm wrong

Answer:

A kite is a quadrilateral with exactly two pairs of adjacent congruent sides

Step-by-step explanation:

yw!!

1/3 Probability both are red

red picked first:

6/10

red picked second:

5/9 (9 as first red marble not replaced so 5 red marbles remaining and 4 blue marbles still)

6/10 * 5/10 = 1/3

Hope that helps!!

If Mark and Doug work at the mall and their total number of combined hours was 13 more hours than Mark worked, The number of hours they work in total is 47 hours.

Let x represent the time Doug  worked

let 3x - 5 represent the number of hours Mark worked

Hence,

x + 3x - 5 = 3x -5 +13

4x-5=3x-5+13

4x-5=3x+8

Add 5 to both side

4x-5+5 =3x+8+5

simplify

4x =3x +13

subtract 3x from both side

4x -3x = 3x + 13 =3x

1x = 13

x =13/1

x =13 (Doug)

Hence,

3x -5 where x = 13

3 (13) -5

= 39 -5

= 34 hours (Mark)

Total hours

(Doug + Mark)

= 13 hours + 34 hours

= 47 hours

Therefore the total hours is 47 hours.

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Answer:

Step-by-step explanationBy definition we have that the area of a regular octagon is:

A = 4.83L ^ 2

Where, L is the length of the octagon side.

the similarity ratio = the area ratio.

We have then:

similarity ratio = (50) / (18) = 25/9.

the ratio of the perimeters

A1 = 4.83L1 ^ 2

L1 ^ 2 = A1 / 4.83

L2 ^ 2 = A2 / 4.83

L1 ^ 2 / L2 ^ 2 = A1 / A2 = 25/9

L1 / L2 = 5/3

The perimeter is:

P1 = 8L1

P2 = 8L2

P1 / P2 = 8L1 / 8L2 = L1 / L2 = 5/3

answer:

similarity ratio:

25: 9

the ratio of the perimeters:

5: 3

Answer:

B

Step-by-step explanation:

     A = P(1+i/n)^t

   5000 = P(1+0.03/(361.3/91)^1                 361.3   ???  it worked

          P = 5000/1.007556048

          P = $4962.50309  

    the 91 day T-bill confused by financial calculator  which got   $4962.78 for a quarterly compound interest rate

Answer:

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Answer:

4 hours

Step-by-step explanation:

If he walks at 4.5 mph, then it will take him 18/4.5 hours to walk 18 miles. 18/4.5 is equal to 4.

Answer:

The maximum height that the ball reaches is of 3.96 meters.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

In this question:

The height after t seconds is given by:

[tex]h(t) = -51t^2 + 20t + 2[/tex]

Which is a quadratic equation with [tex]a = -51, b = 20, c = 2[/tex]

What is the maximum height that the ball reaches?

This is [tex]h_v[/tex].

[tex]\Delta = b^2-4ac = 20^2 - 4(-51)(2) = 808[/tex]

[tex]y_{v} = -\frac{\Delta}{4a} = -\frac{808}{4(-51)} = 3.96[/tex]

The maximum height that the ball reaches is of 3.96 meters.

Answer:

Step-by-step explanation:sdf