160 m of fencing to enclose a quadrilateral shape pen (3 sided) for a children's play area. Determine the shape of the children's play area that gives the maximum area.

Answer:

According to be for the first one it would be: Nonlinear, and the second one would be: Show no pattern

Hope this helps!

Answer: 6 1/10

Step-by-step explanation:

On solving the provided question, we can say that - the value of x in triangle ABD is = 60

Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.

here, in triangle ABD

x = 60

as its acute angle

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Answer:

14π

Step-by-step explanation:

Area πr^2= 49π sq cm

so r= 7 cm

perimeter= 2πr= 14π

Answer:

-3

Step-by-step explanation:

2 + 2 - 7

\      /

  4  -  7

   \     /

     -3

Answer:

-3

Step-by-step explanation:

Follow P.E.M.D.A.S from left to right.

1. A: 2+2=4

2. S: 4-7=-3

Answer:

the answer should be 3/4

The ratio of the length of arc BC to length of arc DE is calculated as: 1/2.

Length of an arc = ∅r, where r is radius, and ∅ is angle measure in radians.

AD = 2/3AB

Length of DE:

∅ = 1.18 + 2.36 = 3.54 radians

r = 2/3AB

Length of arc DE = (3.54)(2/3AB) = 2.36(AB)

Length of BC:

∅ = 1.18 radians

r = AB

Length of arc BC = (1.18)(AB) = 1.18(AB)

Ratio of the length of BC to DE = 1.18(AB) / 2.36(AB) = 1.18/2.36 = 1/2

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Answer:

B) 27

Step-by-step explanation:

(-3,27)

(-1,19)

(0,15)

(2,7)

Answer:

34 pounds

Step-by-step explanation:

51 pounds of plum = 27 quarts

x pounds of plum   = 18 quarts

(cross multiply)

27x = 918

divide both sides by 27

x=34 pounds

Answer:

27

Step-by-step explanation:

s = 5

t = - 1

s² - 2st

= 5² - 2 ( 1 ) ( - 1 )

= 25 - ( - 2 )

= 25 + 2

= 27

The volume of air present in the room is 27410.7075 lt .

The space occupied inside an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied inside an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

The capacity occupied by a three-dimensional solid shape is known as volume. It is difficult to imagine in any shape, yet it may be compared amongst shapes. For instance, a compass box has a larger volume than an eraser placed inside of it. We split the area into equal square units to get the area of any two-dimensional form. Similar to this, we shall split the volume of solid objects into equal cubical units while calculating it. In the part after this one, let's examine how to determine the volume of various solid forms.

The dimension of the room is 11*11*8 in feet.

so, 11 ft = 11 *2.54*12 = 335.28 cm

And, 8 ft = 8 *2.54*12 = 243.84 cm

Volume of the room is = 335.28 * 335.28 * 243.84 = 27410707.5 [tex]cm\x^{3}[/tex]

In litre,

27410707.5 [tex]cm\x^{3}[/tex] = 27410707.5/1000 = 27410.7075 lt.

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Answer:

c. infinitely many solutions

Step-by-step explanation:

hope this helps :)

Answer: 4

Step-by-step explanation:

35.2/ 8.8= 4

4

Answer:

[tex]1)2 ~real ~ solutions[/tex]

[tex]2) 0 ~ real ~solutions[/tex]

[tex]3) 1~real ~solutions[/tex]

Step-by-step explanation:.

[tex]1) x^2+y^2=17[/tex]

[tex]y=-1/2x[/tex]

[tex]x^2+1/4x^2=17[/tex]

[tex]4x^2+x^2=68[/tex]

[tex]5x^2=68[/tex]

[tex]x^2=68[/tex]

[tex]x=[/tex] ± [tex]\sqrt{68/5}[/tex]

----------------------

[tex]2) y=x^2-7x+10[/tex]

[tex]y=-6x+5[/tex]

[tex]-6x+5=x2-7x+10[/tex]

[tex]x^2-x+5=0[/tex]

[tex]a=1[/tex]

[tex]b=-1[/tex]

[tex]c=5[/tex]

[tex]D=b^2-4ac[/tex]

[tex]=1-20[/tex]

[tex]=-19[/tex]

[tex]\sqrt{0} =\sqrt{-19}[/tex]

---------------------

[tex]3) y=-2x^2+19[/tex]

[tex]8x-y=-17[/tex]

[tex]8x+2x^2-9=-17[/tex]

[tex]8x+2x^2+8=0[/tex]

[tex]4x+x^2+4=0[/tex]

[tex]x^2+4x+4=0[/tex]

[tex]x^2+2x+2x+4=0[/tex]

[tex]x(x+2)+2(x+2)=0[/tex]

[tex](x+2)(x+2)^2=0[/tex]

[tex](x+2)^2=0[/tex]

[tex]x=-2[/tex]

------------------------------

hope it helps...

have a great day!!!

Answer:

A. 83 is the correct option.

Step-by-step explanation:

all angles of a triangle are always equal to 180.

46 + 51 + y = 180

97 + y = 180

180 - 97 = 83

Have a nice day! :-)

After diving the polynomials, the quotient and remainder is q(x)=-x^2+1 and r(x)=-1 respectively.

What are polynomials?

The word "polynomial" is derived from the Greek words "poly" and "nominal," which combined translate to "many phrases." There is no limit to the number of terms that can exist in a polynomial.

The polynomials are -

a(x)=-x^4

b(x)=x^2+1

Divide a(x) by b(x).

-x^4/x^2+1 = -x^2+1 with remainder as -1.

The quotient is obtained as q(x)=-x^2+1 and the remainder is r(x)=-1.

The given equation is -

a(x)/b(x)=q(x)+[r(x)/b(x)]

Plugging in all the values -

-x^4/x^2+1=-x^2+1+[-1/x^2+1]

[-x^4/x^2+1]-[-1/x^2+1]=-x^2-1

-x^4+1/x^2+1=-x^2-1

-x^4+1=[-x^2+1][x^2+1]

-x^4+1=(-x)^2[x^2+1]+(1)[x^2+1]

-x^4+1=-x^4-x^2+x^2+1

-x^4+1=-x^4-1

So, LHS=RHS is proved using the equation.

Therefore, the quotient is q(x)=-x^2+1 and the remainder is r(x)=-1.

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The cheapest way of buying exactly 7 litres with no extra is buying 500 ml bottle for £1.40

The amount of buying 7 litres of orange juice at the cheapest buy is £2.52

500 ml bottle for £1.40

Convert ml to liters:

500 ml = 0.5 liters

Unit rate = 0.5/1.40

= £0.36 per liter

2 litre carton for £2.50

Unit rate = 2/2.50

= £0.8 per liter

2 cartons for £4.50

Unit rate = 2/4.50

= $0.44 per carton

3 litre carton for £3.50

Unit rate = 3 / 3.50

= £0.86 per liter

The cheapest buy per liter of the orange juice is buying 500 ml bottle for £1.40.

Therefore, the cost of 7 liters at the cheapest buy

= £0.36 per liter × 7

= £2.52

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Answer:

The area is the square unit.

Let the scale factor is k.

The unit circle has area of π.

Similar circle is k times the unit circle.

The ratio of areas is the square of the scale factor:

If the scale factor is r, then the area of the circle with radius of r is:

Since A₁ = π, the area of A₂ is:

Answer:

no

Step-by-step explanation:

It doen't pass the vertical line test

Give brainliest please

Answer:

No.

Step-by-step explanation:

Because two different inputs have the same output.

Answer:4.76

Step-by-step explanation:

tan 0= opposite side/adjacent side

tan x = 1/12

x =tan-1 (1/12)

~~ 4.76 degrees

The angle of inclination x of this ramp is 4.76 degrees.

'A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any one angle is a right angle.'

According to the given problem,

Perpendicular = 1 inch

Base = 12 inches

Angle of inclination = x

We know,

tan (x) = [tex]\frac{Perpendicular}{Base}[/tex]

⇒ tan(x) = [tex]\frac{1}{12}[/tex]

⇒ x = [tex]tan^{-1} \frac{1}{12}[/tex]

⇒ x = 4.76 degrees.

Hence, we can conclude, the angle of inclination is 4.76 degrees.

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Answer:

176.625

Step-by-step explanation:

Answer:

There are three ways to solve systems of linear equations: substitution, elimination, and graphing.

Answer:

357.5cm^2

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

i belive those are the ones that are under 90 persent

Step-by-step explanation:

eat a peppermint it will stimulate your small brain

Answer:

65

Step-by-step explanation:

20% is 1/5 of 100.

multiply 13 by 5 to get the original amount of numbers. you can proof check it by doing

13/65 which is 0.2. multiply the decimal by 100 and you get 20. which is 20%

Answer:

Answer c 1,800

Step-by-step explanation:

The total interest at the rate of 4.5% interest of the amount of $8000 will be $1800 hence option (C) will be correct.

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.

Simple interest has a constant principal amount, as opposed to compound interest, which multiplies the interest from the principal of previous years to calculate the interest of the subsequent year.

Given that

Principle amount (P) = $8000

Rate of interest (R) = 4.5%

Time period (T) = 5 years.

The interest in the T time period has been given by

Total interest = PRT/100

So,

Total interest  = 8000×4.5×5/100  = 1800

So total interest of the given amount will be $1800.

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The range of possible perimeters of the square=10.583

Area of a rectangle (A) is the product of its length (l) and width (w).

A= l. w

here, we have,

A rectangle has a perimeter of 16 centimeters.

The lengths of the sides of the rectangle are between 1 centimeter and 7 centimeters.

let, x represents the length of a side of the rectangle,

then the rectangle's area is represented by x(8-x) square centimeters.

i.e. area of square = 8x-x^2

the side = √x(8-x)

perimeter= 4×√x(8-x)

Hence, the range of possible perimeters of the square=10.583

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Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

all interior angles add up to 180 and exterior add up to 360 so if u do 115+115=230, 360-230=130, 130÷2=65, 65 is the other interior angle then u add the two interior angles and subtract from 180

Answer:

I got 126.12 in my notes

Step-by-step explanation:

Answer:

one real

Answer: 1

Step-by-step explanation:

Givens

a = 1

b = -4

c = 4

Discriminate

Discriminate = sqrt(b^2 - 4*a*c)

Discriminate  = sqrt(  (-4)^2 - 4 * (1)(4) )

Discriminate = sqrt ( 16 - 16)

Discriminate = sqrt(0)

Discriminate = 0

That means the 1 real root is -  b / 2a = 4/(2*1) = - -2 = 2