The base of a merry-go-round spans an area of about 153.88 square meters What is the radius of
the merry-go-round?
Nysean says the radius of the merry-go-round is 14 meters. Do you agree or disagree? Explain.

Answers

Answer 1

Answer:

Disagree

radius = 7 m

diameter = 14 m

Step-by-step explanation:

Formula

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

Given:

area = 153.88 m²

Substitute given value into the formula and solve for r:

[tex]\sf \implies \pi r^2=153.88[/tex]

[tex]\sf \implies r^2=\dfrac{153.88}{\pi}[/tex]

[tex]\sf \implies r=\sqrt{\dfrac{153.88}{\pi}}[/tex]

[tex]\sf \implies r=6.998680253[/tex]

Therefore r ≈ 7 m

So I disagree with Nysean, as from my calculations, the approximate radius of the merry-go-round is 7 m.

Diameter = 2r

⇒ diameter of merry-go-round = 2 x 7 = 14m

So Nysean has actually given the approximate measure of the diameter rather than the radius.


Related Questions

simplify....










please solve it.

Answers

Steps + Answer:
(m/(n(m-n))) + (n/(m(n-m)))
Take mn(m-n)(n-m) as a common denominator
(m(m(n-m)) + n(n(m-n))) / (mn(m-n) (n-m))
= (m(mn-m^2) + n(nm-n^2)) / ((m^2n-mn^2)(n-m))
= (m^2n-m^3+n^2m-n^3) / (m^2n^2-m^3n-mn^3+m^2n^2)
= (m^2n-m^3+n^2m-n^3) / (2m^2n^2-m^3n-mn^3)
This is the final answer
Hope this helps :)

PLS HELP
AND EXPLAIN
NO LINKS

Answers

Answer:

5/8 (Decimal 0.625)

Step-by-step explanation:

Equation with variables filled is: 1/2 + (3/4 - 5/8)

3/4 - 5/8 is 1/8

Equation is now 1/2 + 1/8

1/2 is also 4/8

4/8 + 1/8 = 5/8

The answer is 5/8.

Brainliest please?  

What life cycle adaptation allows a seahorse to make lots of babies in a short amount of time? (2 points)


a seahorse


Group of answer choices


The female hatches the eggs in the sand while the male gets rid of predators.


The female hatches the eggs in the sand while the male protects them.


The male carries the babies while the female makes more eggs.


The male makes more eggs while the female carries the babies

Answers

Answer:

its c or 3

Step-by-step explanation:

yep

Answer:

C

Step-by-step explanation:

which set of data is influenced by an extreme x and y values compared to other data points

Answers

The set of data is influenced by an extreme x and y values compared to other data points is an outlier.

What is an outlier?

It should be noted that an outlier simply means data points that diverge in big way from the overall pattern.

Outlier can have extreme x or y value when compared to other data points. Also, it can be distant from the rest of the data without the extreme xor y values.

Learn more about outlier on:

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Answer:a on usa test prep.like it

Step-by-step explanation:

A video posted on the internet has gone viral, and the total number of views is increasing by 25% every hour. If the video currently has 155, 000views how many views will it have in 6 hours?

Answers

[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &155000\\ r=rate\to 25\%\to \frac{25}{100}\dotfill &0.25\\ t=hours\dotfill &6\\ \end{cases} \\\\\\ A=155000(1 + 0.25)^{6}\implies A=155000(1.25)^6\implies A\approx 591278[/tex]

Which of the following expressions is equal
to 4/5 x 7?

Answers

Answer:

15.75÷2.25

Step-by-step explanation:

I think it's that I'm not completely sure so yeah

Options to question


257


254


256


255

Answers

Answer:

256

Step-by-step explanation:

You get the median by aligning all the numbers then start taking out the number from highest to lowest like this, 1, 2, 3, 4, 5, you take out the 1 and the 5 then the 2 and the 4. The median in the end would 3.

need some help with the question in the image
Cheers​

Answers

[tex]a) \: \: 1000 \times \frac{1}{100} = 10 \\ [/tex]

[tex]b) \: \: 44 \times \frac{25}{100} = 11 \\ [/tex]

[tex]c) \: \: 50 \times \frac{30}{100} = 15 \\ [/tex]

Have a great day ♡♡♡♡♡

Jamie has 70 coins. They total $6.30. If they are only dimes and nickels find out how many of each she has.​

Answers

Answer: 56 Nickel and 14 Dime = 70coins

Step-by-step explanation: Dime is 5cents And Nickle is 10cents. (560Cents + 70cents =630Cents )

what would (200,000,450,300,127)^0 pls help

Answers

Answer:

1

Step-by-step explanation:

In right triangle QRS M < S = 73 degrees. In right triangle TUV, m < V = 73 degrees. Which similarity postulate or theorem proves that QRS and TUV are similar?

Answers

Answer: C

Step-by-step explanation:

You have two pairs of congruent angles - angles S and V, and the right angles.

Answer:

The answer is C

Step-by-step explanation

Angle S and V are both congruent angles and they both have the same angle measurement.

The ratio of passenger cars to cargo cars in
the rail yard is 18:4. If there are 8 cargo
cars, how many cars are there altogether?

Answers

44 cars

hope it helps....!!!

Which is the equation of a circle whose center is at the origin and that passes through the point (3, 5)?

Answers

Answer:

x² + y² = 34

Formula:

(x - h)² + (y - k)² = r²                    where (h, k) is the center

Here find the radius using distance formula:                → origin : (0, 0)

√(x2-x1)²+(y2-y1)²√(3-0)²+(5-0)²√9+25√34

Thus the equation of circle:

(x - 0)² + (y - 0)² = (√34)²(x - 0)² + (y - 0)² = 34x² + y² = 34

Answer:

H.  [tex]x^2+y^2=34[/tex]

Step-by-step explanation:

Equation of a circle (in standard form)

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(where (h, k) is the center and r is the radius of the circle)

Given center = (0, 0):

[tex]\implies (x-0)^2+(y-0)^2=r^2[/tex]

[tex]\implies x^2+y^2=r^2[/tex]

As the circle passes through point (3, 5):

[tex]\implies 3^2+5^2=r^2[/tex]

[tex]\implies r^2=34[/tex]

Final equation

[tex]x^2+y^2=34[/tex]

x = -4y + 36
x = 4y -28

This is using the substitution method. **PLEASE HELP! I’M SO LOST I DON’T UNDERSTAND THIS AT ALL.**

Answers

Answer:

Hope the picture will help you..

Anyways... _________ is a quadrilateral with opposite sides, they are congruent, and all the angles equals 90 degrees.



a. Pentagon

b. Rectangle

C. Trapezoid


(the web lied to me, it said it was c!? but it wasnt)

Answers

THE answer is B. rectangle

I need help pls for this

Answers

Solution :

According to the question,

Time taken by Jesse to run 1 mile = 7 minutes

Also,

Time taken by Jesse to run 1 mile = 2½ minutes + Michael's time [tex]\;[/tex]

Now, we can say that :

7 minutes = 2½ minutes + Michael's time

⇒ (7 - 2½) minutes = Michael's time

⇒ (7 - 5/2) minutes = Michael's time

⇒ (14 - 5)/2 minutes = Michael's time

⇒ 9/2 minutes = Michael's time

4½ minutes = Michael's time [Answer]

Step-by-step explanation:

Question:-In track practice, Jesse ran a mile in 7 minutes. His mile time was2.5 minutes faster than Michael's time. Write and solve an equation to calculate Michael's mile time.

Solution

Jessie time 7 minute

Michael’s time is 2.5 times slower

Divide 7 minutes by 2.5 to get answer

Jesse = 7

Michael = 2.5 X

7 = 2.5 X

7/2.5 X = 17.5 to check answer divide 17.5 by the 2.5, your answer is 7.

Or if it was 2.5 more

we subtract 2.5 from 7

=> 7 - 2.5

=> 4.5

=> 4 ½

----

A recipe that serves 6 calls for 3/4 cup of sour cream. How much sour cream is needed to serve 8?

Answers

Answer:

1 cup

Step-by-step explanation:

8/6 times 3/4 = 1 cup -crispin

To serve 8 calls, 1 cup of sour cream is required.

What is a Ratio?

A ratio indicates the number of times one number contains another.

Given that,

6 serve = 3/4 cup of sour cream

1 serve = (3/4×6) cup of sour cream

8 serve = (3/4×6)×8 cup of sour cream

8 serve = 1 cup of sour cream

Hence, to serve 8 calls, 1 cup of sour cream is required.

To learn more about ratios, click here:

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PLEASE HELP MEEEEEEE

Answers

Answer:

so as you see im in middle school but i can solvee it

Step-by-step explanation:

even im in 6th grade i do well with high school stuff ok now let me xplain you just read it carifully eamil your teacher ask for help and doneee your brain is working bam bam bam

A store is having a sale.Each item is on sale for half off the regular price,m

Which pair of equivalent expressions represents

Answers

Answer:

I'm just awarding a random person and you have won a thousand dollars

Find the domain of the graphed function.

Answers

Answer:

option d bro

Step-by-step explanation:

the answer is option d x>=0

A continuous random variable is a random variable: A. that is derived from a random population B. whose values are countable C. that is determined by random probability D. that can assume any value in one or more intervals

Answers

i think B i’m sorry if i’m wrong

Julie wants to randomly choose two out of three friends, Margarite, Anita, and Sasha, to go with her to a

concert. In which method does one of Julie's friends have more than a fair chance of being chosen?

Answers

Slip system can be used to give more than fair chances of selection where the number of slips for one is more than the other.

There are multiple ways of selecting random sample like tossing a coin, flipping a die, lottery system.

Describing a method which can be used to provide more than a fair chance of selection is as follows:

Julie has 3 friends, so make the total number of slips say n

where n is not a multiple of 3.  

If n is not a multiple of 3 then her 3 friends will not get an equal chance of being selected.

Consider n=5

She has 3 friends, so 2 slips has repeated names, thus creating more chance of being selected than the one who has name only on one slip.

Thus, this method may result in more chance of selection of one over other.

Learn more about random sampling, here:

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Hal has just graduated from four years of college. for the last two years, he took out a stafford loan to pay for his tuition. each loan had a duration of ten years and interest compounded monthly, and hal will pay each of them back by making monthly payments, starting as he graduates. hal’s loans are detailed in the table below. year loan amount ($) interest rate (%) subsidized? junior 4,048 5.9 n senior 5,295 7.6 y once all of his loans are paid off, what will hal’s total lifetime cost be? round all dollar values to the nearest cent. a. $9,023.28 b. $8,467.20 c. $11,498.40 d. $13,615.20

Answers

Hal's total lifetime cost will be $13,615.20.

Data and Calculations

Table detailing the Loans

1:     Year                                      Junior        Senior

2:     Loan Amount ($)                 4,048         5,295

3:     Interest Rate (%)                    5.9%           7.6%

4:     Subsidized?                        No               Yes

5:     Future value                    4,539.76      5,295

6:     Total repayment           $6,020.76    $7,575.51

Total lifetime cost = $ 13,596.27 ($6,020.76 + $7,575.51)

What is the future value of the loan?

The future value of the loan is determined based on no subsidy and interest rate compounded for two years for the Junior Loan.

Junior loan Amount after two years = $4,539.76

Loan Term = 10 years

Interest Rate = 5.9%

Compound Monthly (APR) Pay Back Every Month

Therefore, Payment Every Month   $50.17

Total of 120 Payments   $6,020.76

Total Interest   $1,481.00

Loan Amount = $5,295

Loan Term = 10 years

Interest Rate = 7.6%

Compound Monthly (APR)

Pay Back Every Month

Therefore, a Payment Every Month  of $63.13

Total of 120 Payments   $7,575.51

Total Interest  $2,280.51

Thus, Hal's total lifetime cost will be d. $13,615.20.

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A rectangle measures 4
3
4
inches by
1
3
inches. What is its area?

Answers

Answer:

1 7/12 in^2.

Step-by-step explanation:

Area = length*width

4 3/4 * 1/3

= 19/4 * 1/3

= 19/12

=   1 7/12 in^2.

Can someone help me with this problem?

Answers

Answer:

12(5+3)

Step-by-step explanation:

Again, common greatest number is 12. Just try out numers until its the highest common number.

60/12 = 5

36/12 = 3

so,

12(5+3)

Which of the folloyis equivalent to the expression below?
9x^2 + 30x + 25

Answers

Answer:

(3x-5) (3x-5)

Step-by-step explanation:

<33

I hate text limits!!

The expression 4w + 7 + 3p + 8x contains how many terms?

Answers

Answer:

4 terms

Step-by-step explanation:

Terms being 4w, 7, 3p, 8x.

work out the value of 5y-6 when y=9

Answers

Hey there!

5y - 6

= 5(9) - 6

= 45 - 6

= 39


Therefore, your answer is: 39


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

Ms.carter pool supplies what’s the volume 5.5ft , 3ft , 2.25

Answers

if im understanding the question right, the answer is 37.125 feet cubed

Use the function f(x) = x2 − 6x 3 and the graph of g(x) to determine the difference between the maximum value of g(x) and the minimum value of f(x). a parabola that opens down and passes through 0 comma 3, 3 comma 12, and 5 comma 8 3 6 12 18

Answers

A function assigns values. The difference between the maximum value of g(x) and the minimum value of f(x) is 18.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Since the maximum of the parabola function g(x) will lie at its vertex, therefore, the maximum will be at (3,12). Now, if we try to find the minimum of the function f(x). We need to plot the function on the graph as shown below.

As the minimum of the function f(x) will lie at the vertex of the parabola function, therefore the minimum of the function f(x) will lie at (3,-6).

If we try to find the difference between the maximum value of g(x) and the minimum value of f(x), then we will get,

[tex]\rm Difference=12-(-6)=18[/tex]

Thus, the difference between the maximum value of g(x) and the minimum value of f(x) is 18.

Learn more about Function:

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guy above is right, 18 is the correct answer

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