Which equation represents a circle with a center at (-3,-5) and a radius of 6 units

Amanda [17]

The Neolithic Revolution allowed people to live in permanent settlements.

<u>Explanation:</u>

The Neolithic Revolution is the phase of transition in which many of the human cultures in the world shifted their lifestyle to permanent settlement and agriculture from hunting and gathering.

This era is also named as First Agricultural Revolution or Neolithic Demographic Transition. The agricultural practices led the cultures to develop the knowledge of domestication of animals and they began to observe and experiment with the plants (to learn or know how they grow and develop).

Neolithic period is named as revolution because this period changed the way of life of most of the communities. This first occurred in so-called "Fertile Crescent" or Mesopotamia (modern Iraq).

6 0

3 years ago

Read 2 more answers

Jeannine needs to decide what size to make a rectangular

Harlamova29_29 [7]

Answer:

Total number of possible combinations are 6

Length width

23 dm 2m

21 dm 4 dm

19 dm 6 dm

17 dm 8 dm

15 dm 10 dm

13 dm 12 dm

Step-by-step explanation:

We are given that

Perimeter of rectangular garden=50 dm

Width is even number.

Length is always longer than or equal to width.

Let length of rectangular garden=x

Width of rectangular garden=y

We have to find the possible number of combinations .

Perimeter of rectangular garden= $2(x+y)$

$2(x+y)=50$

$x+y=50/2$

$x+y=25$

If y=2 dm

x=25-2=23 dm

If y=4 dm

x=25-4=21 dm

If y=6 dm

x=25-6=19 dm

If y=8 dm

x=25-8=17 dm

If y=10 dm

x=25-10=15 dm

If y=12 dm

x=25-12=13 dm

If y=14 dm

x=25-14=11 dm

x<y

It is not possible

Then, possible combinations are 6

Length width

23 dm 2m

21 dm 4 dm

19 dm 6 dm

17 dm 8 dm

15 dm 10 dm

13 dm 12 dm

5 0

3 years ago

Lorea is designing the top of a quilt which measures 2,160 square inches. Triangles will cover 432 square inches of the quilt, a

timurjin [86]

2160 - 180 - 432 = 612
Each parallelogram is 3 square inches
divide by 3
612/3 = 264 parallelograms to complete the quilt.

7 0

4 years ago

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A box with a rectangular base and open top must have a volume of 128 f t 3 . The length of the base is twice the width of base.

noname [10]

Answer:

$Width = 4ft$

$Height = 4ft$

$Length = 8ft$

Step-by-step explanation:

Given

$Volume = 128ft^3$

$L = 2W$

$Base\ Cost = \$9/ft^2$

$Sides\ Cost = \$6/ft^2$

Required

The dimension that minimizes the cost

The volume is:

$Volume = LWH$

This gives:

$128 = LWH$

Substitute $L = 2W$

$128 = 2W * WH$

$128 = 2W^2H$

Make H the subject

$H = \frac{128}{2W^2}$

$H = \frac{64}{W^2}$

The surface area is:

Area = Area of Bottom + Area of Sides

So, we have:

$A = LW + 2(WH + LH)$

The cost is:

$Cost = 9 * LW + 6 * 2(WH + LH)$

$Cost = 9 * LW + 12(WH + LH)$

$Cost = 9 * LW + 12H(W + L)$

Substitute: $H = \frac{64}{W^2}$ and $L = 2W$

$Cost =9*2W*W + 12 * \frac{64}{W^2}(W + 2W)$

$Cost =18W^2 + \frac{768}{W^2}*3W$

$Cost =18W^2 + \frac{2304}{W}$

To minimize the cost, we differentiate

$C' =2*18W + -1 * 2304W^{-2}$

Then set to 0

$2*18W + -1 * 2304W^{-2} =0$

$36W - 2304W^{-2} =0$

Rewrite as:

$36W = 2304W^{-2}$

Divide both sides by W

$36 = 2304W^{-3}$

Rewrite as:

$36 = \frac{2304}{W^3}$

Solve for $W^3$

$W^3 = \frac{2304}{36}$

$W^3 = 64$

Take cube roots

$W = 4$

Recall that:

$L = 2W$

$L = 2 * 4$

$L = 8$

$H = \frac{64}{W^2}$

$H = \frac{64}{4^2}$

$H = \frac{64}{16}$

$H = 4$

Hence, the dimension that minimizes the cost is:

$Width = 4ft$

$Height = 4ft$

$Length = 8ft$

8 0

3 years ago

What is 5 divided 437 how do you write the problem

nika2105 [10]

U can write it as:5/437=0.01144164759

Or:5÷437=0.01144164759

8 0

3 years ago