Alice is building a caterpillar habitat for some caterpillars she found in her back yard. She plans to cover all sides of the habitat with screen so the caterpillars get plenty of fresh air. What is the total amount of screen that Alice will need for her habitat? Give an exact answer (do not round).

Answer: The area of the regions covered by grass is approximately 313.375 sq ft.

Step-by-step explanation:

Given: A company is building a new park in the shape of a circle with a 25 ft diameter.

Then radius = [tex]\dfrac{25}{2}=12.5\ ft[/tex]

Required area = Area of circle - Area of rectangle + Area of triangle

Formula: Area of circle = [tex]\pi r^2[/tex]

Area of rectangle = length x width

Area of triangle = 0.5 x base x height

Area of circle = [tex](3.14)(12.5)^2=490.625\ \text{ft}^2[/tex]

Area of rectangle = 20 ft x 10ft = 200 ft²

Area of triangle = 0.5 x 7 x 6.5 = 22.75 ft²

Required area = 490.625 -200+22.75 = 313.375 ft²

Hence, The area of the regions covered by grass is approximately 313.375 sq ft.

Answer:

24 ft.

Step-by-step explanation:

2x12=24

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The multiplier for 1% would be 1.01

Multiply her distance from yesterday by this value

new distance = 10.75 x 1.01

new distance = 10.8575

I'm assuming you'd want the answer to 2 d.p (however, you can round accordingly if needed otherwise)

Subtract the two values

10.8575 - 10.75 = 0.1075

So, to 2 d.p your answer would be 0.11 km

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Answer:

A) [tex]4x^5-4x^4-16x^2+16x[/tex]

B) [tex]4x^4-4x^3-16x^2+16x[/tex]

Also, maybe that vertically means:

A) [tex]4x^2 \cdot x^3[/tex]    and [tex](-4x) \cdot (-4)[/tex]

Resulting in [tex]4x^5+16x[/tex]

B) [tex]x^2 \cdot 4x^2[/tex]    and  [tex]x \cdot (-8x)[/tex]  and [tex]-2 \cdot 0[/tex]

Resulting in [tex]4x^4-8x^2[/tex]

Step-by-step explanation:

It seems that you want to multiply the polynomials in this way: [tex](\text{Polynomial - 1})\cdot(\text{Polynomial - 2})[/tex]

A)

[tex]4x^2-4x[/tex]

[tex]x \cdot x^2 -4[/tex]

[tex](4x^2-4x)(x \cdot x^2 -4)=(4x^2-4x)(x^3 -4)[/tex]

[tex](4x^2-4x)(x^3 -4)\\[/tex]

[tex]4x^5-16x^2-4x^4+16x[/tex]

[tex]4x^5-4x^4-16x^2+16x[/tex]

B)

[tex]x^2+x-2[/tex]

[tex]4x^2-8x[/tex]

[tex](x^2+x-2)(4x^2-8x)[/tex]

[tex]4x^4-8x^3+4x^3-8x^2-8x^2+16x[/tex]

[tex]4x^4-4x^3-16x^2+16x[/tex]

Answer:

Sry i dont understand what ur trying to say but if ur asking what number squared will give u 16 its 4

Step-by-step explanation:

Answer:

im pretty sure the answer is 4 but i don't rlly understand the question

Step-by-step explanation:

Answer:

[see below]

Step-by-step explanation:

There is no underlined numbers. I will do all of them.

In the number '775':

700 + 70 + 5 = 775

Brainilest Appreciated.

Answer: -8 degrees

Step-by-step explanation: 12-4 is 8 so the difference is -8

Answer:

The cost of one hot dog and the cost of one hamburger is $3.25

The cost of one hot dog is $1.75

Step-by-step explanation:

Let the number of hot dogs be represented by d and hamburgers be h

3d + 2h = 8.25 ----- eqn(I)

2d + 3h = 8.00 ----- eqn(II)

From eqn(I): d = (8.25 - 2h)/3

substitute the expression for d into eqn(II)

2d + 3h = 8

2(8.25 - 2h)/3 + 3h = 8

(16.50 - 4h) + 3h(3) = 8(3)

16.50 - 4h + 9h = 24

5h = 24 - 16.50

5h = 7.50

h = 7.50/5 = 1.50

One hamburger costs $1.50

d = (8.25 - 2h)/3 = (8.25 - 2×1.50)/3 = (8.25 - 3.00)/3 = 5.25/3 = 1.75

One hot dog costs $1.75

Cost of one hot dog and cost of one hamburger = $1.75 + $1.50 = $3.25

Answer:

A. The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.

Step-by-step explanation:

Given

[tex]Equation\ 1: x - 3y = 1[/tex]

[tex]Equation\ 2: 7x + 2y = 7[/tex]

Required

Efficient way of solving the equations

The efficient way of solving this problem is by solving for x in the first equation because it has a coefficient of 1;

The evidence is shown as follows;

Make x the subject of formula in equation 1

[tex]x = 1 + 3y[/tex]

Substitute 1 + 3y for x in equation 2

[tex]7x + 2y = 7[/tex]

[tex]7(1 + 3y) + 2y = 7[/tex]

Open bracket

[tex]7 + 21y + 2y = 7[/tex]

[tex]7 + 23y =7[/tex]

Make y the subject of formula

[tex]23y = 7 - 7[/tex]

[tex]23y = 0[/tex]

Divide both sides by 23

[tex]\frac{23y}{23} = \frac{0}{23}[/tex]

[tex]y = 0[/tex]

Recall that x = 1 + 3y

Substitute 0 for y in the above expression

[tex]x = 1 + 3(0)[/tex]

[tex]x = 1 + 0[/tex]

[tex]x = 1[/tex]

Solving for y in the second equation will take more steps

Answer:

A: The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.

Step-by-step explanation:

Answer:it is a location

Step-by-step explanation:

The others are simply wrong

The statement that can be said to be through about point is that a point is a location.

                   A point is a location in a geometry space used in demarcating an area or region with a dot representation. It does not have any long line or an endpoint. It does not also have a length or width. It is usually used to make a notion about a specified region.

For example:  If I want to measure a distance of 6 cm. I can place my divider from the mathematical set on the meter-rule and measure out 6 cm.

Then, place 6 cm on the plain sheet to show two different dots indicating the distance of 6cm before I draw the distance of 6cm with my drawing pencil.

Learn more about a point here:

https://brainly.com/question/22932149?referrer=searchResults

Answer: 5.34

Step-by-step explanation: 18 - 12.66 = 5.34

Answer:

40 degrees

Step-by-step explanation:

90 degrees + 50 degrees = 140 degrees

there are 3 angles that total at 180 degrees in every  triangle

180 degrees - 140 degrees = 40 degrees

Answer:

length: 5 yd

width: 4 yd

area: 20 yd^2

Step-by-step explanation:

1 yd = 3 ft

15 ft * (1 yd)/(3 ft) = 5 yd

12 ft * (1 yd)/(3 ft) = 4 yd

A = LW

A = 5 yd * 4 yd = 20 yd^2

Answer:

20 yd²

Step-by-step explanation:

1 yd = 3 ft =>

=>w = 12ft×yd/3ft = 4 yd

=> l = 15ft×yd/3ft = 5 yd

A = l × w

= 5yd × 4yd

= 20 yd²

Answer:

0.22

Step-by-step explanation:

2/9 as a decimal is 0.22222222

This number rounded off to its nearest hundredth is 0.22

Hope it helped

Answer:

[tex]\boxed{\sf 0.22}[/tex]

Step-by-step explanation:

[tex]\sf \frac{2}{9} =0.2222222222222222...[/tex]

[tex]\sf Round \ to \ nearest \ hundredth.[/tex]

[tex]\sf \frac{2}{9} \approx 0.22[/tex]

Answer:

6*108>3*106

Step-by-step explanation:

If you multiply 6, and 108, you would get 648.

And if you were to multiply 3 and 106 you would get 318. And 648>318.

Therefore, 6*108>3*106

Answer:

one cocoa pod makes 5/6 bar

to make 35 bars, he needs

35 / (5/6) = 35 * 6/5 = 42 pods

Monday - Friday is 5 days

42/5 = 8.4

Answer:

All you have to do is to divide 3 to both sides in order to get rid of 3 and to get Equation B from A.

The correct answer is the last one, 7.5 x 104. (the sum is 772.5)

if you multiply it the sum is 772.5, and all the other ones sum is less than 772.5

I hope this helped (:

Answer:

is 1

step by step explanation:

Answer: 3

Step-by-step explanation:

Answer:

96 minutes in the whole game or 1 hour and 36 minutes and 1/8 of the game is left.

Step-by-step explanation:

So we know that there are 4 quarters in a game. So if they're halfway through the 3rd quarter with 12 minutes left in the game, that means half a quarter equals 12 minutes. That means a full quarter equals 24 minutes. Then we do 24 *4 which is 96. So there are 96 minutes in the whole game and there 1/8 of the game left since 96/8=12.

Hope this helped

Answer: B

Step-by-step explanation:

In an equilateral triangle, altitudes are also medians.  Thus, the bisect their vertex angles.

Hope it helps <3

Answer:

The cost of the binder is 12.96

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The secant- secant angle ACE is half the difference of the measures of the intercepted arcs, that is

∠ ACE = [tex]\frac{1}{2}[/tex] (AE - BD ) = [tex]\frac{1}{2}[/tex] (104 - 46)° = [tex]\frac{1}{2}[/tex] × 58° = 29° → C

Answer:

A. 14 square units

Step-by-step explanation:

Hey there :)

Well let's find the area of each individual rectangles.

Let's start with the side rectangle.

It has dimensions of 5*1 = 5.

5 square units

Now the 3 rectangles left have dimensions of 3*1=3,

3*3 = 9.

5+9=14

14 square units

Answer:

A, 14 square units

Step-by-step explanation:

What I would do is separate them into 4 shapes like the picture below

Because all of the shapes are rectangles, you can use the formula

[tex]A=L*W[/tex]

For shape #1, the length is 1 and the width is 3. Plot the numbers

[tex]A=1*3[/tex]

Multiply 1 by 3 to get

[tex]A=3[/tex]

The area of shape #1 is 3

The length and width of shape #2 and 3 are the same as 1, so you can multiply the area of shape #1 by 3 to get

[tex]3*3[/tex]

[tex]9[/tex]

The area of shape #1, 2, and 3 are 9.

Next, you want to find the area of shape #4 which has a length of 5 and a width of 1.

Use the same formula to get

[tex]A=5*1[/tex]

Multiply 5 by 1 to get

[tex]A=5[/tex]

The area of shape #4 is 5

The way to find the surface area of the whole figure is to add the area of all the shapes individually, or do what I did and add 5, to 9

[tex]A=5+9[/tex]

This gives you your answer which is

[tex]A=14[/tex]

Hope this helps.

Feel free to ask any more questions if you are confused.

Have a great day! :)

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Work Shown:

Use the geometric mean formula to find that BD = 6

BD = geometric mean of AD and DC

BD = sqrt(AD*DC)

BD = sqrt(12*3)

BD = 6

Then use the pythagorean theorem to find the missing side for triangle BCD

a^2+b^2 = c^2

(CD)^2 + (BD)^2 = (BC)^2

3^2 + 6^2 = m^2

m^2 = 45

m = sqrt(45)

m = 6.70820393249937 approximately

m = 6.7 after rounding to one decimal place

Answer:

[tex]3x + 13y = 14[/tex]

[tex]6x + 11y = -2[/tex]

Step-by-step explanation:

See Attachment for complete question

To determine which of the options has (-4,2) as its solution; we have to test each linear combination until we arrive at an answer;

Given that

[tex](x,y) = (-4,2)[/tex]

Testing Option A

[tex]3x + 13y = 14[/tex]

[tex]6x + 11y = -2[/tex]

Substitute [tex]x = -4[/tex] and [tex]y = 2[/tex] in [tex]3x + 13y = 14[/tex]

[tex]3(-4) + 13(2) = 14[/tex]

Open Brackets

[tex]-12 + 26 = 14[/tex]

[tex]14 = 14[/tex]

Substitute [tex]x = -4[/tex] and [tex]y = 2[/tex] in [tex]6x + 11y = -2[/tex]

[tex]6(-4) + 11(2) = -2[/tex]

Open Brackets

[tex]-24 + 22 = 2[/tex]

[tex]2 = 2[/tex]

In both cases, the expression on the right hand side equates to that on the left hand side;

Hence, there's no need to check for other options.

Answer:

The answer in standard notation is 11'244,000. The answer in scientific notation is p * 10∧7, where p is 1.1244 and q is 7.

Step-by-step explanation:

Let's answer the question correctly this way:

Population of New York State = 19'650,000

Population of New York City = 8'406,000

Population that do not live in New York City = 19'650,000 - 8'406,000

Population that do not live in New York City = 11'244,000

Population that do not live in New York City in scientific notation = 1.1244 * 10⁷

The answer in standard notation is 11'244,000. The answer in scientific notation is p * 10∧7, where p is 1.1244 and q is 7.

Answer:

FG H(2) = F*G*H(2) = 0

Step-by-step explanation:

Your  F(x) = 2x - 4; GX) = 3x + 2; Hpx)=x2 requires a bit of guesswork for the reader to understand it.  I believe you meant:

F(x) = 2x - 4; G(X) = 3x + 2; H(x)=x2 Find FG H(2)

First find F(2):  f(2) = 2(2) - 4 = 0

Because this multiplicand is zero, further multiplication will result in zero also.  Thus, the final answer is zero (0).