6. Erin runs laps around a circular pond with a radius of 12 yards. She calculated the total distance she would run after ten laps around the pond. Is Erin's calculation correct? If not, correct her work. ( = (3.14) (12) (10) (= 37.68 (10) ( = 376.8 yards true or false​

Answers

Answer 1

Answer:

False

Step-by-step explanation:

C=2πr times 10 laps

She did πr times 10 laps then multplied it by 10 again.

she needed to do 2π(12) times 10 which is equal to 754.

Answer 2

The calculation of the total distance run by Erin was calculated wrongly.

The total distance that Erin would run can be determined by multiplying the number of laps run by the circumference of a circle.

Circumference of a circle = 2πr

Where:

π = pi =  3.14 r = radius = 12 yards

Circumference of a circle = 2 x 3.14 x 12 = 75.36 yards

Total distance = 75.36 x 10 = 753.60 yards

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Related Questions

y = x + 3/10 please help asap

Answers

Answer:

x

=

y

3/10

Step-by-step explanation:

anyone have the The Firework Filcher Maths Mystery answers?

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Answer:

I think you're looking at the wrong place my guy...

Step-by-step explanation:

Can someone help me with these questions, please explain your answer. :D

Answers

Answer:

1. is the 3rd one

2. the last on is the answer

3 is A

4 is C

Step-by-step explanation:

The area of a rectangle is 72m2 and its length is 12m.find its breadth and perimeter.​

Answers

Answer:

Step-by-step explanation:

Area = 72 m^2

L = 12m

Formula

w = Area / L

Perimeter = 2L + 2W

Solution

72m^2 = 12 W      Divide both sides by 12

72/12 = 12W / 12

W = 6 m

Perimeter = 2L + 2W

Perimeter = 2*12 + 2*6

Perimeter = 24 + 12

Perimeter = 36 m

What’s the slope intercept form of (5,-5),(0,-1)

Answers

The slope intercept form of those ordered pairs is: y=-4/5-1

Pls help geometry Thanks in advance

Answers

30 is the length of the hypotenuse

24 is one of the bases

a^2+b^2 = c^2

where c is the hypotenuse (longest side)

24^2 + y^2 = 30^2

576 +y^2 = 900

y^2 = 324

y= √324 = 18

y =  18

Snoop Dogg is cool. Jake the Dog is cool. Dog the Bounty Hunter is cool. Therefore, everyone with Dog in their name is cool. Inductive deductive or neither

Answers

is this a question? confused

Answer:

Inductive

Step-by-step explanation:

Inductive reasoning is an observation that doesn't have any reliable proof.

i am not understanding slope intercept form, if someone could explain it as well as graph and answer the question that would be great!

Answers

Answer:

Step-by-step explanation:

HIIIIIIIIIIIIIIIIIIIIIIIIIIIIII

Answer:

Slope Intercept form: y = mx + b

Step-by-step explanation:

mx: the slope

b: y- intercept

To find the slope, use this formula:

y₂ - y₁ / x₂ - x₁

Add in the numbers

1 - (-5) / 0 - 2

-6/2 (or -3) = slope

Use point-slope form to find the Y- intercept

y - y₁ = m (x - x₁)

y - (-5) = -3 (x - 2)

y + 5 = -3x + 6

Subtract 5 from both sides

y = -3x + 1 ← Slope intercept form

Graph the y- intercept at 1, and go down 3 and to the right 1. Your two coordinates will be (0 , 1) and (1, -2) .

100 points & brainliest!

Answers

Answer:

Y=#x+Y

Step-by-step explanation:

I think this formula would be best to use as one of the numbers would keep on changing while the other stays the same.

Enjoy, Hope i get what i promised :D

Answer:

Y=#x+Y

Step-by-step explanation:

write the equation of a line that is parallel to y=-3/2x -1 and that through the point (4,6)

Answers

Answer:

[tex]y=-\frac{3}{2}x+12[/tex]

Step-by-step explanation:

Hi there!

We want to write the equation of a line parallel to y=[tex]-\frac{3}{2}x-1[/tex] and that passes through the point (4,6)

Parallel lines have the same slopes, but different y intercepts.

The slope of the equation [tex]y=-\frac{3}{2}x-1[/tex] is [tex]-\frac{3}{2}[/tex], since the equation is written in y=mx+b format (m is slope and b is y intercept), and [tex]-\frac{3}{2}[/tex] is in the place where m is.

It's also the slope of the line parallel to it.

So we know the slope of the new line, let's write it down:

y=[tex]-\frac{3}{2}x[/tex]+b

Let's find b, in order to complete the equation

Since the equation passes through the point (4, 6), we can use it to solve for b.

Substitute 4 as x and 6 as y into the equation:

6=[tex]-\frac{3}{2}[/tex](4)+b

Multiply

6=-6+b

Add 6 to both sides

12=b

Substitute 12 as b in the equation.

y=[tex]-\frac{3}{2}x+12[/tex]

Hope this helps!

Find the gradient of the line segment between points (8,6) and (10,14)

Answers

Answer: 4

Step-by-step explanation:

!! Help Quick Please!! ​

Answers

Answer:

The answer is definitelly B.(Area of 1) + (Area of 2) = (Area of 3)

Step-by-step explanation:

A because they are all surrounding the triangle

the lengith of a room is 7 feet longer than the width. the perimeter of the room is 74 feet. find the width of the room

Answers

Answer:

15

Step-by-step explanation:

lengith-x+7

width-x

2×(x+x+7)=74

x+x+7=37

2x=30

x=15

The law of sines can only be applied to right triangles.
A. True
B. False

Answers

The law of sines can't only be applied to right triangles. Therefore, it's B. False.

What is the law of sines?

The Law of Sines says that in any given triangle, the ratio of any side length to the sine of its opposite angle is the same for all the three sides of the triangle.

The law of sines is used to solve any triangle, when we know two angles and one side or two angles and one included side. So, it can be used on non-right triangle and right triangle as the case may be.

The sine law states that the ratio of a triangle's side length to the sine of the opposite angle is the same for all three sides. When we are given a) two angles and one side, or b) two sides and a non-included angle, we use the sine rule.

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there are 28 tables for customers at mesa grill resturant. the tablesnare either two-seat tables or four-seat tables. when all tables are full, there will be 90 customers in the restaurant. how many two-seat tables are at the restaurant

Answers

Explanation :-

Let's assume –

Number of two-seat tables be "x"

[tex]\qquad[/tex] According to the question :-

[tex]\qquad \pmb{\sf\longrightarrow 4 \times (28−x)+2 \times x=90}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow 112−4x+2x=90}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow 112−2x=90}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow −2x=90−112}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow −2x=−22}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow 2 x=22}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow x= \cancel{\dfrac{22}{2}}}[/tex]

[tex]\qquad \longrightarrow {\pink{\underline{\underline{\pmb{\sf{ x= 11}}}}}}[/tex]

Therefore

Number of two-seat tables are 11.

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Answer: 11

Step-by-step explanation:

This is a problem of solving word problems using systems of equations.

Let's denote 2-seat tables by x and 4-seat tables by y. Therefore, their sum will be the total number of tables, which is 28. So, x + y = 28.

Now, let's concentrate on the number of customers. It says that 'when all tables are full, there will be 90 customers in the restaurant'. Therefore if we seat 2 people on each 2-seat table(x), their total number will be 2x and if we seat 4 people on each 4-seat number(y), their total number will be 4y. Hence, 2x + 3y = 90.

Now, we have a system with two equations:

[tex]\left \{ {{x + y = 28} \atop {2x + 4y = 90}} \right.[/tex]

Multiply the first line by -4.

[tex]\left \{ {{-4x -4y = -112} \atop {2x + 4y = 90}} \right.[/tex]

Now, by adding up these two equations, we get the following:

-2x = -22

x = 11

This means that the restaurant has 11 two-seat tables.

Jeff can read a 300 page book in 10 hours. His twin sister, Sasha can read a 350 page book in 11 hours. Who reads at the faster rate

Answers

Answer:

Sasha reads fat than her twin brother Jeff because in 10 hours he only 300 pages, but even though sasha read her book in 11 hours there's a 50 page difference.

You borrowed ₱15,000.00 from your parents to buy a new video game, and they set an interest rate of 15% per month. How much interest do you owe in one month?

Answers

Answer:2250

Step-by-step explanation:

All we need to do is multiply 15,000 by 15% also known as 0.15 as a decimal.

15,000 X 0.15 = 2250

Answer: 2250

solve for c: c divided by 3 equals 8

Answers

Answer:

c=24

Step-by-step explanation:

c/3 = 8

Multiply each side by 3

c/3 *3 = 8*3

c=24

C = 24

C/3 = 8

Multiply both side by 3, has the 3 is dividing C and you need C to be by itself and the opposite of divide is multiply.

C = 8x3

Therefore C = 24

plzz help! 50 points and brainliest!

Kaleigh wants to know how much she will pay for her gym membership. Which graph represents the total monthly cost at the gym as a function of the number of visits Kaleigh plans to make each month?

Answers

Answer:

im sorry if this is wrong but i think graph A

Step-by-step explanation:

id.k im sorry if it is wrong...

Answer:

A

Step-by-step explanation:

Edge 2022

HELP ME PLZ I BEG U
what is the unit rate of the the table? tell how u came up with the answer.
which proportional relationship has the greatest unit rate the table or the equation? Tell how you arrived at your answer, showing all work.

Answers

Answer:

2

Step-by-step explanation:

2 is the rate of change for the graph because y/x=2 I am not sure wich unit of rate is larger because I cant see the equation

The proportionality constant will be equal to 2.

What is a proportionality constant?

The ratio of two proportional values at a constant value is known as the constant of proportionality. The constant (commonly abbreviated k) related sums that increase or decrease simultaneously. It is the proportion between the values y and x.

Given table is below,

X      Y

2     4

3     6

4     8

5     10

6     12

The proportionality constant will be calculated as,

Y = KX

4 = K x 2

K = 4 / 2

K = 2

Therefore, the proportionality constant will be equal to 2.

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Please help I don’t know how to solve this

An escalator in a mall rises 28 feet over a horizontal distance of 48 feet. What is the slop of the escalator?

Answers

The slope is 7/12 or 0.58333333333
An easy way to remember slope, is that it is the rise over the run or the change of the y axis over the change in x axis. For this problem, I divided the rise (28) by the run (48)

Answer:

7/12

Step-by-step explanation:

change in y / change in x

What is the quotient of (x^3 3x^2-4x-12)/(x^2 5x 6).

Answers

Answer:

Answer: The quotient is (x-2).

Step-by-step explanation:

Since we have given that

Now, we have to find the quotient of the above expression.

So, here we go:

Now, we will divide the above simplest form with g(x):

Hence, the quotient is (x-2).

Step-by-step explanation:

Question. [factorial]

7! × 8! = .....

next .....​

Answers

~Answer

1) 7! × 8! = ?

_____________

= 7! × 8!

= (7.6.5.4.3.2.) × 8!

= 5040 × (8.7.6.5.4.3.2)

= 5.040 × 40.320

= 203.212.800 ☑

Can anyone help me with this please and ty I really appreciate it if u can

Answers

your riiiiiiiiiiuiuuiii

Simplify the expression:
-3(6 - 1.5n)=

Answers

Answer:

Step-by-step explanation:

Use distributive property: a*(b +c) =a*b + a*c

-3( 6 - 1.5n) = (-3)*6 - (-3)*1.5n

                  = -18 + 4.5n

Answer:

-18 + 4.5n

Step-by-step explanation:

-3(6 - 1.5n) = -3(6) -3(-1.5n)                  Distributive

                  = -18 + 4.5n                       Multiplication. Remember (-) (-) = +

                   

Can someone please write this in slope intercept form with steps ? (Y=mx+b)
2y - 4x + 6 = 0
(If u don’t know DONT answer and correct answer gets BRAINLIEST

Answers

Step-by-step explanation:

2y - 4x + 6 = 0

2y = 4x - 6

y = 4x/2 - 6/2

y = 2x - 3

Answer:

[tex]y = 2x - 3[/tex]

Step-by-step explanation:

Simply make the y as the subject

[tex]2y - 4x + 6 = 0 \\ 2y - 4x = - 6 \\ 2y = - 6 + 4x \\ \frac{2y}{2} = \frac{ - 6 + 4x}{2} \\ y = - 3 + 2x \\ y = 2x - 3[/tex]

So,

[tex]y = mx + b \\ y = 2x - 3[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Which of the following solutions solves the system?
7x+y= 6
x+ 2y = -1
A. (-1,0)
B. (1,0)
C. (1,-1)
D. None of these choices are correct

Answers

Answer:

C

Step-by-step explanation:

To find which of the given choices are solutions for the system of equations, we need to:

-substitute x, and y with the given coordinates and

-check if they are solutions for both equations.

7x+y= 6

x+ 2y = -1

A. (x = -1, y = 0) ❌

7(-1)+0= 6; -7 =6 FALSE

-1+ 2*0 = -1; -1= -1 TRUE

B. (x = 1, y = 0)❌

7*1+ 0= 6; 7= 6 FALSE

1+ 2*0 = -1; 1 =-1 FALSE

C. (x =1, y= -1)✅

7*1 -1= 6; 6=6 TRUE

1+ 2(-1) = -1; -1=-1 TRUE

D. None of these choices are correct ❌

because one choice is correct

What is the image of (-1,-4)(−1,−4) after a reflection over the line y=−x?

Answers

Answer:

Step-by-step explanation:

(-1,-4)→(4,1)

Please, can anyone help a teen with her homework?? My question is:
What is a magic square?? Please help!
I have to submit very soon (it's my homework not a test)
Giving the crown! (:

Answers

Answer:

A magic square is a square containing a number of integers arranged in such a way that the sum of the numbers vertically, horizontally and diagonally is always the same number.

Hope it helps.

Do comment if you have any query.

A magic square is a large square that is divided into smaller squares. In a magic square, the smaller squares that make up the diagonal, horizontal and vertical magic square add up to the same value.

Popular magic squares include:

Sagrada Família magic square The Parker square

Please find attached an image of a magic square. To learn more about magic squares, please check: https://brainly.com/question/79480

A farmer is constructing a rectangular pen with one additional fence across its width. Find the maximum area that can be enclosed with 360 yards of fencing

Answers

The maximum area of the pen is the highest area the pen can have

The maximum area is 16200 square yards

Let the dimension be x and y.

So, the perimeter is given as:

[tex]\mathbf{P = 360}[/tex]

Because it has one additional fence, the perimeter is calculated as:

[tex]\mathbf{2x + y = 360}[/tex]

Make y the subject

[tex]\mathbf{y = 360 - 2x}[/tex]

The area is calculated as:

[tex]\mathbf{A = xy}[/tex]

Substitute [tex]\mathbf{y = 360 - 2x}[/tex]

[tex]\mathbf{A = x(360 -2x)}[/tex]

Expand

[tex]\mathbf{A = 360x -2x^2}[/tex]

Differentiate

[tex]\mathbf{A' = 360 -4x}[/tex]

Set to 0

[tex]\mathbf{360 -4x = 0}[/tex]

Rewrite as:

[tex]\mathbf{4x = 360}[/tex]

Divide both sides by 4

[tex]\mathbf{x = 90}[/tex]

Substitute 90 for x in [tex]\mathbf{A = 360x -2x^2}[/tex]

[tex]\mathbf{A = 360 \times 90 - 2 \times 90^2}[/tex]

[tex]\mathbf{A = 16200}[/tex]

Hence, the maximum area is 16200 square yards

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