A circular grass lawn has an area of 314 square metres.
12.
Find the circumference of the lawn.

Answers

Answer 1

Answer:

[tex]C= 62.8m[/tex]

Step-by-step explanation:

Let's round [tex]\pi = 3.14[/tex]. Area of a circle if [tex]\pi r^2[/tex]. In our case, we can easily find out the radius[tex]\pi r^2 = 100\pi \rightarrow r=10m^[/tex]. At this point, it's easy to find the length of the circumference by doubling it and multiplying again by [tex]\pi[/tex]:

[tex]C= 2\pi r = 62.8 m[/tex]


Related Questions

You owe 3 of your friends $15 dollars each. Before you pay your friends back, you
have $52. How much money do you have after paying your friends back?

Answers

Answer:

$7

Step-by-step explanation:

Since you have to pay 3 of your friends $15 each, you would multiply 15 by 3 and get 45. Then you would subtract that from 52 and you would get $7.

Which list correctly orders A, B, and C from least to greatest when A=171, B = -6, and C=1-51?
A, B, C
B, C, A
C, B, A
A, C, B

Answers

The 3rd option is correct

Find the area and volume of a 11 inch cube (pls write do the equation in steps)

Answers

Answer:

1331 inches cubed

Step-by-step explanation:

V=LHW

since it is a cube, the length, height, and width will all be the same; 11 inches. You have to multiply 11 by 11 by 11, which equals 1331.

Hope this helped!

8. Which of these is the primary reason for the extinction of a species?

loss of habitat

overhunting

O pollution

Osudden environmental changes

Answers

Answer:

my bet would be d)

Step-by-step explanation:

ur asking math students btw

Solve for x

−5(-3x-3)+5x+4=-1

Answers

Simple and best practice solution for -5(-3x-3)+5x+4=-1 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

Solve for x−5(-3x-3)+5x+4=-1Solution for -5(-3x-3)+5x+4=-1 equation:-5(-3x-3)+5x+4=-1We move all terms to the left:-5(-3x-3)+5x+4-(-1)=0We add all the numbers together, and all the variables5x-5(-3x-3)+5=0We multiply parentheses5x+15x+15+5=0We add all the numbers together, and all the variables20x+20=0We move all terms containing x to the left, all other terms to the right20x=-20x=-20/20x=-1 See similar equations:| 2x+5=0.5(4x+10) | | x+(x-11)=43 | | 39-v=56 | | 3x-4x+8=-5x+4x-9 | | -3+8u=5(u- | | -4(-2x-2)+x-2=?48 | | 2x+10=+2x+10 | | 13=-3a-5 | | 7y=64-y | | w-5/7=72/3 | | 58y+7=34y?3 | | -36=4(v-5)-6v | | 3x-4-5x=x=4=x | | ?4(r+2)=4(2?2r) | | y/2=22 | | 6x+12-x=x+8 | | -3/8y=0 | | 7(2=-x)=3(x+2) | | x-x=234 | | 0=(2x-4)(x+6) | | -8x+-7=-15 | | 16x-x=100 | | 5k+21=17k=-3 | | 14x-x=37 | | 1-4x-8=8 | | w-33=12 | | (13x+20)=(7x+38) | | -3(2b+-5)=3b | | 30x-x=473 | | 13x-10=6x+4 | | y=-2,y=-16/8 | | (17.155)^2=(0)^2+2a(-15) |

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Explain step by step how you find the product of 6x^2y^5 and 3x^2 - 8x + 2xy^2 + 4y^3

Answers

The final product is 18x⁴y⁵ - 48x²y⁵+12x³y⁷+24x²y⁸

What is a product ?

The product is result obtained when a number or an expression is multiplied by the other number.

The product of the given expression

6x²y⁵ and 3x²-8x+2xy²+4y³

6x²y⁵ (3x²-8x+2xy²+4y³)

Step 1 : To multiply each term in the bracket with the other expression

out of the bracket

6*3*x²*y⁵*x² - 6*8*x²*y⁵ +6x²y⁵ *2*x*y² + 6*4*x²y⁵ *y³

Step 2 : The like variables will be solved

18x⁴y⁵ - 48x²y⁵+12x³y⁷+24x²y⁸

This is the final product

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A flower pot hangs from a brace. △MNQ and △MNP form the brace what is the value of x?

Answers

The value of x from the given triangle formed by the pot hanging from a brace is; x = 50°

How to find the missing angle in a triangle?

We are given from the diagram that;

∠NMP = 110° and ∠NPM = 30°

Sum of angles in a triangle is 180°.

Thus;

∠MNP = 180 - (110 + 30)

∠MNP = 40°

Thus;

x = 90 - 40

x = 50°

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Can someone answer question 1-6

Answers

Answer:

Equation- a statement of the equality of two mathematical expressions                                                                                                                        Ex: 4 + 2 = 3 + 3Table of value- a set of ordered pairs usually resulting from substituting numbers into an equation (relation)Set of coordinate points- a set of numbers that show an exact point on a graph                                                                                                             Ex: (2, -6)Graph-  the collection of all points whose coordinates satisfy a given relationPattern- a repeated design of things like; numbers, shapes, colors, etc                                                                                                                   Ex: O $ X O $ X O $ XWord description- give a verbal description of its elements.

Step-by-step explanation:

Hope I did it right, tell me if its wrong.

A lake near the Arctic Circle is covered by a thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a rate of 0.2 meters per week. After 7 weeks, the sheet is only 2.4 meters thick.
Let y represent the ice sheet's thickness (in meters) after x weeks.

Complete the equation for the relationship between the thickness and number of weeks.
y=_____

Answers

The equation for the relationship between the thickness and number of weeks is y = 3.8 - 0.2x

How to write equation?

Ice lost per week = 0.2 metersIce remaining after 7 weeks = 2.4 metersNumber of weeks = xRelationship between the thickness and number of weeks = y

Ice lost at 7 weeks = 7(0.2) = 1.4 meters

Total thickness of ice before loss = Ice remaining after 7 weeks + Ice lost at 7 weeks

= 2.4 + 1.4

= 3.8 meters

The equation:

y = Total thickness of ice before loss - (Ice lost per week × Number of weeks)

= 3.8 - (0.2 × x)

y = 3.8 - 0.2x

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What does x= please help

Answers

The value of x is 8

This question is a proportion. To solve it, let's assemble it as follows:

5 = 4

10 x

Now, just multiply in the form of a cross. Then, let's split the terms:

5 . x = 10 . 4

5x = 40

x = 40 ÷ 5

x = 8

So, the result of x will be 8

Hi if you can give me a clear explanation that would be great! :)
1) segment ab has endpoints a(-3,1) and b(2,-6). suppose that point b is translated to b (-1,-8)
-how far away is point b from point a?
-how far did point b move to get to point b?

Answers

The distance of point a from translated b is 9.2 units and the distance of point b from translated b is 3.6 units

What is a line?

A line is the distance between two points.

Analysis:

point a( -3,1) point b(2, -6) point translated b(-1, -8)

Distance ab = [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }[/tex]

Distance ab = [tex]\sqrt{(-1--3)^{2} + (-8-1)^{2} }[/tex] = 9.21 units

Distance btb = [tex]\sqrt{(-1-2)^{2} + (-8- -6)^{2} }[/tex] = 3.6 units

In conclusion, the distance of b from a is 9.2 units and b from b is 3.6 units.

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The inverse of f(x)= 2x + 3 is written:​

Answers

Answer:

It should be x-3/2 (also written as "(x-3)÷2")

Step-by-step explanation:

y=2x+3

switch the y and x

x=2y+3

solve for y

x/2=y+3

x-3/2=y

If you graph these two functions you will see that y=2x+3 give the points (-1.5,0) and (0,3) and x-3/2 give (0,-1.5) and (3,0). because you've switched the x number to the y number you've "inversed" it

Solve for x in the equation x squared 4 x minus 4 = 8.

Answers

Answer:

±2√3

Step-by-step explanation:

Equation :

x² -4 = 8

x² -12 = 0

Using the quadratic formula then simplifying gives you :

±2√3

I know this lacks explanation but please brainliest

Answer:

x=2 or -6

Step-by-step explanation:

×^2+4×-4=8

8 will enter inside and become -8

x^2+4x-4-8=0

x^2+4x-12

(x^2+6x)(-2x-12)

x(x+6)-2(x+6)

(x-2)(x+6)

x=2 or x=-6

Factor 60-36w60−36w60, minus, 36, w to identify the equivalent expressions.

Answers

Answer: 60( 1 - 72)

Step-by-step explanation: i think it might be right so heres a proof

What is the value of x in the figure below?

Answers

Let's see

[tex]\\ \rm\dashrightarrow \dfrac{9}{x}=\dfrac{24}{12}[/tex]

[tex]\\ \rm\dashrightarrow \dfrac{9}{x}=2[/tex]

[tex]\\ \rm\dashrightarrow x=\dfrac{9}{2}[/tex]

[tex]\\ \rm\dashrightarrow x=4.5[/tex]

The figure shows two identical metal bars are different temperatures. What is the
coefficient of linear expansion for the metal from which the bars are made?
(A) 1.6 × 10 (*C).¹
(B) 1.4 x 10
(*C)-¹
L₁ - 1.000 m
42-1.001 m
(C) 1.2 x 10-5 (°C)-¹
(D) 1.1 x 10 (C)-¹
T₁=0.0°C
T₂-70.0°C
ut.
luce

Answers

The coefficient of thermal expansion of the metal will be 1.4 x 10⁻⁵ °c.

What is thermal expansion?

Every material has its property of contraction or expansion by the change of temperature. The expansion and contraction of any material are indicated by a coefficient this coefficient is called the coefficient of thermal expansion.

Here we have the following data:-

l₁= 1.000 m

l₂ = 1.001 m

Δ = 70° C

The formula for calculating the coefficient of linear expansion will be:-

[tex]\alpha =\dfrac{\Delta l}{\Delta t\times l}[/tex]

By putting the values we will get the answer.

[tex]\alpha=\dfrac{0.0001}{70\times 1}= 1.4\times 10^{-5}[/tex]

Therefore the coefficient of thermal expansion of the metal will be 1.4 x 10⁻⁵ °c.

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Probability and statistics please help me out

Answers

Answer:

first option

Step-by-step explanation:

1/7

I hope this is correct...

In 1997 the U.S. population was approxiamately 266,667,000 people. At the rate of 440 prisoners per 100,000 population, about how many prisoners were inthe system

Answers

Answer:

Around 1.2 million

Step-by-step explanation:

If we multiply 266,667,000 by 440/100,000 we get about 1,173,334 which we can round to about 1.2 million

What is the x and y intercept of y=1/3x-2, y=12-6x, and y=3x-7? Please show work!

Answers

Answer:

y = 1/3x - 2:

y - intercept: - 2x - intercept: 6

y = 12 - 6x:

y - intercept: 12x - intercept: 2

y = 3x - 7:

y - intercept: -7x - intercept: 7/3

Step-by-step explanation:

Hello!

Slope Intercept Form

The slope-intercept form of a line is [tex]y = mx + b[/tex]

y = output, ordinatem = slopex = input, abscissab = y-intercept

y = 1/3x - 2

The y-intercept is the "b" value of the line, given as -2.

To find the x-intercept, we simply replace the y-value with 0:

0 = 1/3x - 22 = 1/3x6 = x

y - intercept: - 2

x - intercept: 6

____________________________________________________

y = 12 - 6x

You can rearrange the equation, y = -6x + 12, to find the y-intercept: 12.

Solving for the x-intercept (remember, replace y with 0):

0 = -6x + 12-12 = -6x2 = x

y - intercept: 12

x - intercept: 2

____________________________________________________

y = 3x - 7

Simply take the "b" value, -7, to find the y-intercept of -7.

Solve for the x-intercept:

0 = 3x - 77 = 3xx = 7/3

y - intercept: -7

x - intercept: 7/3

Additional Note:

You can also solve for the y-intercept by replacing x with 0. This method can be used for any interests, just plug in the opposite variable from what you are solving for with 0.

The proof is that the x-intercept is the value when the y = 0, the x-axis. You can plug in 0 for y to solve for x. Similarly, when solving for the y-intercept, you plug 0 for x as the y-axis is at x = 0.

If f (x) = StartRoot one-half x minus 10 EndRoot + 3, which inequality can be used to find the domain of f(x)?
StartRoot one-half x EndRoot greater-than-or-equal-to 0
One-half x greater-than-or-equal-to 0
One-half x minus 10 greater-than-or-equal-to 0
StartRoot one-half x minus 10 EndRoot + 3 greater-than-or-equal-to 0

Answers

The inequality that represents the domain of the function is [tex]\frac 12x - 10 \ge 0[/tex]

How to determine the domain?

The function is given as:

[tex]f(x) = \sqrt{\frac 12x - 10} + 3[/tex]

Set the radicand greater than or equal to 0

[tex]\frac 12x - 10 \ge 0[/tex]

Multiply through by 2

x - 20 ≥ 0

Add 20 to both sides

x ≥ 20  

Hence, the domain of the function is x ≥ 20  

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help mee answer the question

Answers

..............................................

An arithmetic sequence has this recursive formula:
{ A1=5
{An= An-1-4

What is the explicit formula for this sequence?
A. an= (-1) + (n - 5)(-4)
B. an=5+ (n − 1)(-4)
C. an= 5+ (n-4)(-1)
D. an= (-4) + (n − 1)5

Answers

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The correct option is B.

What is an arithmetic sequence?

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

The explicit formula for any arithmetic series is given by the formula,

aₙ = a₁ + (n-1)d

where d is the difference and a₁ is the first term of the sequence.

Given  A₁=5 and An= A₍ₙ₋₁₎-4, therefore we can write,

aₙ = a₁ + (n-1)d

Aₙ= 5+(n-1)(-4)

Hence, the correct option is B.

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Please help and thanks
Choose the correct answer
2x>12x and 7x<14

Answers

Answer:

C - x < -6 and x < 2

Step-by-step explanation:

2x ">" -12 and 7x < 14. with negative numbers, the bigger the number the less it is. -12 < -6 because negative numbers work the opposite way that positive numbers do. I hope this helps you!!!!

PLEASE HELP ASAP

What is the missing statement for the sixth step in the proof below?

Answers

Answer:

C

Step-by-step explanation:

The last reasoning is the side angle side theorem. In the whole proof, there is no mention of an angle. So the answer has to involve prooving that the angle in between the two sides that have been proven similar is the same in both traingles. This is best accomplished by statement C.

Susan and five of her friends enjoyed dinner at her favorite restaurant. They
split the bill evenly among themselves, and each person paid $11.75. How
much was the total bill?
$= 0.1
Answer here

Answers

$70.50 is the total bill

Q: Sam challenges Tom to a race. If Sam can run 6 meters per second and Tom can run at 7 meters per
second. After a minute and a half how far apart will they be?

Answers

Answer:

90 meters

Step-by-step explanation:

so, what we know is that there are  90 seconds in one minute and a half.

Sam can run 6 meters per second. which means after 90 seconds, he should have run 540 meters.

Tom can run 7 meters per second. This means after 90 seconds, he should have run 630 meters.

630-540 = 90

give brainliest please!

hope this helps :)

Calculate the area of the following composite figure. (Please i need help with this)

Answers

The area of the composite shape in the diagram given is: 100 square inches.

How to Find the Area of a Composite Figure?

Area of a composite figure = sum of the areas of the shapes that make up the figure.

Area of the composite shape = 2(area of triangle) = 2(1/2bh)

Area of the composite shape = 2(1/2×10×10)

Area of the composite shape = 100 square inches.

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X^2-6x+5=0 solve with quadratic formula

Answers

Answer: x1  = 5

               x2 = 1

Step-by-step explanation:

1. Identify the coefficients

2. Move the constant to the right side of the equation and combine

3.  Complete the square

4. Solve for x

Answer:

x = 5 and 1

Step-by-step explanation:

[tex]x^2-6x+5=0\\x_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:1\cdot \:5}}{2\cdot \:1}\\x_{1,\:2}=\frac{-\left(-6\right)\pm \:4}{2\cdot \:1}\\\rightarrow x_1=\frac{-\left(-6\right)+4}{2\cdot \:1},\:x_2=\frac{-\left(-6\right)-4}{2\cdot \:1}\\\\\frac{-\left(-6\right)+4}{2\cdot \:1}\\\\=\frac{6+4}{2\cdot \:1}\\\\=\frac{10}{2\cdot \:1}\\\\=\frac{10}{2}\\\\=5\\\\\\\frac{-\left(-6\right)-4}{2\cdot \:1}\\\\=\frac{6-4}{2\cdot \:1}\\\\=\frac{2}{2\cdot \:1}\\\\=\frac{2}{2}\\\\=1[/tex]

True or False?
A square can be similar to a triangle since a square is composed of two triangles.
When Ronald goes to BIG Burgers, he orders a sandwich and a side order. For the

Answers

Answer:

true is the answer not hard question

AMSWER ASAP PLEASE PLEASE PLEASE

Answers

Answer:

(2,14)

Step-by-step explanation:

so i solved this with substitution but there are other methods to solve this!

equation 1 : y = -x + 16
equation 2 : y = x + 12

solve for y in equation 1 !!
y = -x + 16
(add x on both sides)
y + x = 16
(subtract y on both sides)
x = -y + 16

equation 1 now equals : x = -y + 16

substitute equation 1 into equation 2 :)

y = (-y + 16) + 12
(add 16 + 12)
y = -y + 28
(add y on both sides)

2y = 28
(divide 2 on both sides)
y = 14


now to solve for x you can insert y !
you can use equation 1 or equation 2 to solve for x.

i'm using equation 2 :
y = x + 12
(14) = x + 12
(subtract 12 on both sides)
x = 2

therefore, the answer is (2, 14).

hope this helps :p

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