At a school carnival, the diameter of the mat of a trampoline is 16 feet and the diameter of its metal frame is 18 feet. What is the length, in feet, of the metal frame that surrounds the trampoline? Use 3. 14 for π and round your answer to the nearest tenth. 50. 2 feet 56. 5 feet 100. 5 feet 113. 0 feet.

Answers

Answer 1

Answer:

  (b)  56.5 ft

Step-by-step explanation:

The circumference of a circle of diameter d is given by ...

  C = πd

For the given diameter, the circumference of the frame is ...

  C = (3.14)(18 ft) ≈ 56.52 ft

The length of the outside edge of the frame is about 56.5 feet.


Related Questions

PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!!

Answers

Answer:

m∠3 = 55°

Step-by-step explanation:

m∠1 = m∠4  (parallel lines with same angle)

m∠2 = m∠3  (parallel lines with same angle)

apply whole angle measure equals to 360°

11x -7 + 5x - 5 + 11x -7 + 5x - 5 = 360

32x -24° = 360°

32x = 384°

x = 12°

Therefore

m∠3 = 5x - 5

m∠3 = 5(12) - 5

m∠3 = 55°

m<1 and m<2 are linear pairs

[tex]\\ \tt\hookrightarrow 11x-7+5x-5=180[/tex]

[tex]\\ \tt\hookrightarrow 16x-12=180[/tex]

[tex]\\ \tt\hookrightarrow 16x=192[/tex]

[tex]\\ \tt\hookrightarrow x=12[/tex]

<3=<2=5(12)-5=60-5=55°

Please help will give most Brainly

Answers

So the point of A from the origin is 12ft to the right and 24ft up, or better still it’s at the point (4,8). Since the scale doubles to 6 ft, the coordinate will half. So 12 ft to the right is reflected over 2 to the right and 24ft up goes to 4 squares up because we divide it by 6ft for the scale. Doing this and plotting the point you’d get (2,4) which is half the original coordinate of A as I said it will be.

At what point on the curve y = 9 + 2ex − 5x is the tangent line parallel to the line 5x − y = 8?

(x, y) = ?

Answers

Answer:

[tex](\ln(5), 19-5\ln(5))[/tex]

Step-by-step explanation:

The line can be represented as y=5x-8, so the slope of the line is 5.

The derivative of the curve is:

[tex]\frac{d}{dx} [9+2e^x-5x]\\=\frac{d}{dx} [9]+\frac{d}{dx} [2e^x]-\frac{d}{dx} [5x]\\=2e^x-5\\[/tex]

We need to set that equal to 5 to find the x coordinate of our desired point

[tex]2e^x-5=5\\2e^x=10\\e^x=5\\x=\ln(5)[/tex]

Now, just plug in x in the curve to solve for y:

[tex]9+2e^{\ln(5) } -5\ln(5) = y\\9+10-5\ln(5)=y\\19-5\ln(5)=y[/tex]

Line 5x y = 8 has a slope of 5. This means that the tangent line that runs parallel to this line must also have a slope of 5.

To solve this equation

dy/dx = 2ex 5 is the derivative of the function y = 9 + 2ex 5x. Consequently, 2ex 5 is equal to the slope of the tangent line at any location.

When we set the slope of the tangent line to 5, we obtain:

2ex − 5 = 5

2ex = 10

e^x = 5

Taking the natural logarithm of both sides, we get:

ln(e^x) = ln(5)

x = ln(5)

Therefore, ln(5) is the x-coordinate of the crossing point.

We can enter this value of x into the original function to determine the y-coordinate:

y = 9 + 2e^(ln(5)) − 5(ln(5))

y = 9 + 10 − 5ln(5)

y = 15 − 5ln(5)

As a result, the intersection is at (ln(5), 15 5ln(5)).

To sum up, (ln(5), 15 5ln(5)) is the point on the curve y = 9 + 2ex 5x where the tangent line is parallel to the line 5x y = 8.

Learn more about tangent line here

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I need a SIMPLE definition of the addition property of equality, subtraction property of equality, multiplication property of equality, and division property of equality.​

Answers

Addition property of equality: tells us that if we add the same quantity to both sides of an equation, then our equation remains the same.
Subtraction property of equality: tells us that if we subtract from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same.

There is a rectangle. The long side is 8.2cm the short side is 3.6cm. Find the area. (Include units)

Answers

Answer:

29.52cm sqauared

Step-by-step explanation:

length x width = area of rectangle

Answer: 29.52cm2

Step-by-step explanation:

8.2 times 3.6=...

Problem shown on the picture

Answers

Step-by-step explanation:

please answer those Questions Mathematics

what is this equation 6x-4y=18 and -x-6y=7

Answers

Step-by-step explanation:

here you have answer.....

What is the Absolute Value of -15 and 16?

Answers

Answer:

AV of -15 is 15.

AV of 16 is 16.

Step-by-step explanation:

It turns the number positive.

As the height of the cylinder increases, its volume decreases.

Which is the independent variable?

height or volume

Answers

Answer:

height is independent

Step-by-step explanation:

as you change the height, the volume changes accordingly.

The figure shows a rhombus ABCD. The diagonal DB is produced to E such that BC = BE and CDE = 46°.
Find
(I) BAD
(ii) BCE​

Answers

Answer:

(i) 88°

(ii) 23°

Step-by-step explanation:

See the picture below.

The numbers added in red are the angle measures. The numbers added in black are the order in which each angle measure was written.

ABCD is a rhombus, so all sides are congruent.

Triangle BCD is isosceles with sides DC and BC congruent, so <DBC is congruent to <BDC. From the sum of the measures of the angles of a triangle, we get m<DCB. Opposite angles of a rhombus are congruent, so m<A = m<DCB. From the sum of the measures of the angles of a triangle and from isosceles triangle ADB we get m<ADB and m<ABD. From m<DBC and supplementary angles, we get m<CBE. From isosceles triangle BCE, we get m<BCE.

Solve for p: p/10 = 7.2/36

Answers

P=20 this is because you have to get 2 on each side 7.2/3.6 =2 so 20/10=2 2=2

This is very urgent please help!

Answers

1/8; 0.2; 13/26; 3/5; 7/8; 1.09; 1.19; 1.5; 1.9

i need help with this match

Answers

Answer:

1 d

2 b

3 g

4 a

5 e

6 f

7 c

8 h

Please mark as Brainliest

I need help on this no rush either take as much time as you need and I asked my sister this but she said just ask on brainly

Answers

Answer:

45

Step-by-step explanation:

The equation for area of a triangle is:

[tex]A=\frac{1}{2}*b*h[/tex]

Using the figure, we can determine the base is 15 since it is perpendicular to the height.

We can plug 6 (height) and 15 (base) into the equation to solve for the area...

[tex]A=\frac{1}{2}*6*15=\frac{1}{2}*90=\frac{80}{2}=45[/tex]

Please help I will give Brainliest.

Answers

Answer:

$21,600

Step-by-step explanation:

h(x) = 5000 · (1.08)^4

5000 · 4.32

h(x)= 21,600

Answer:

$6802.44

Step-by-step explanation:

We will replace x with 4.

h(4) = 5000 · (1.08)^4

Use a calculator from here if you don't want stress.

1.08 x 1.08 x 1.08 x 1.08 = 1.36048896

1.36048896 x 5000 = 6802.4448

Since we are looking at the cost, we will approximate to the nearest hundredth.

6802.4448 ≈ 6802.44

The cost is $6802.44.

please help I will give brainlyest​

Answers

Answer:

See below.

Step-by-step explanation:

The answer is D. M and O are congruent, but that is not an option, so the focus goes towards M and N. M and N are similar, but are not congruent.

-hope it helps

Answer:

M and N are similar but not congruent.

Step-by-step explanation:

   

4(n+6)+3n is greater than or equal to 3n-4

Answers

Answer:

7n+24 is greater than that 3n-4

Step-by-step explanation:

First Distributive Property

4(n+6)+3n

Combine like terms

4n +24+3n

7n+ 24

Explanation

7n+24 is greater than that 3n-4

divide 20000 in the ratio in the 5:4:1​

Answers

Answer:

5+4+1=10

20000/10=2000

5x2000:4x2000:1x2000

10000:8000:2000

in the diagram below, the value of y must be

Answers

Answer:

y = 45°

Step-by-step explanation:

4 sides = 360°

(2y+1)° + y° + 112° + 112° = 360°

2y + y = 360 - 112 - 112 - 1

3y = 135

y = 135÷3

= 45°

in a all-area track meet 271 sprinters enter a 200-meter dash competition. the track has 7 lanes so only 7 sprinters can compete at a time. at the end of each race, the six non-winners are eliminated, and the winner will compete again in later race. How many races are needed to determine the champion sprinter?

Answers

The number of races needed to determine the champion sprinter = 39 races.

Calculation of number of races

The number of sprinters = 271

The number of sprinters per race= 7

The area to be covered for each race = 200m

For every race covered, a champion is selected and the rest is eliminated.

Therefore, to determine the remaining champion from 271 sprinters,

271/ 7 = 38.7

Which is approximately 39 races.

Learn more about meter here:

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(a) A retailer bought a compact disc form a manufacturer for $20. In addition to that he paid a 15% value-added tax. If he sold the disc to a custmer for $26, calculate the cash profit he made. (use this question for question below)

(b) The manufacturer later increased the price of the compact disc by 20%. At the same time, the value- added tax was increased to 25%.
( use for below question answer: $30) ^^^^

(i) If the retailer made the same cash profit as before,calculate the price a customer had to pay for a disc.

Answers

Answer:

$23

Step by step explanation

arrange 5/4 1/2 5/6 in ascending order​

Answers

Answer:

Order is    1/2  < 5/6 < 5/4

Step-by-step explanation:

  1/2  = 0.5

  5/6 = 0.83

  5/4 = 1.25

      0.5 < 0.83 < 1.25

Just convert 'em to decimals....

½ = 0.5

⅚ = 0.83

5/4 = 1.25

# 1/2 < 5/6 < 5/4

What does the random variable for a binomial experiment of n trials measure?.

Answers

Answer:

What does the random variable for a binomial experiment of n trials measure? The random variable measures the number of successes out of n trials. ... A binomial experiment requires that the probability of success be the same for each trial. In an experiment, there are n independent trials.

Step-by-step explanation:

Amanda is buying her first car for $10,000. She is going to take out a loan from the bank that has an interest rate of 3.4% on the total cost. She will also need to pay tax on the car. How much will she owe in total?

Answers

Ben wants to buy a used car. He has $3000 but wants $3500 to spend. He invests his $3000 into an account earning

For a recent job, a plumber earned $28/hr, and the plumber’s apprentice earned $15/hr. The plumber worked 3 hours more than the apprentice. If together they were $213, how much did he esrn

Answers

Answer: (with explanation) (ANSWER AT THE BOTTOM)

et P = number of hours that the plumber worked.

let H = number of hours that the helper worked.

since the plumber worked 3 more hours than the helper, the equation for hours worked is

P = H + 3

-----

since the plumber earned 28 dollars per hour and the helper earned 15 dollars per hour, the equation for amount of money each made is the number of hours each worked times the dollars per hour each earned.

this equation is

(28*P) + (15*H) = 213 dollars

-----

both get the same answer.

-----

-----

substitute for P in the money equation since P is the same as H + 3.

equation becomes

(28*(H+3)) + (15*H) = 213

solve for H.

28*H + 28*3 + 15*H = 213

43*H + 84 = 213

43*H = 129

H = 3

-----

if H = 3, then P = 6 because P = H + 3.

-----

6*28 + 3*15 = 213 so your answer is

Plumber works 6 hoursHelper works 3 hours.

now to find the amount each earn by themselves, we just have to multiply by 6 or 3 by their hourly earning.

let's do the Plumber first

28x6=168

now the helper

15x3=45

---------

now to check if that was the right answer, let's add them up...

168+45=213

so, our answer is right.

-----------------

The plumber worked for 6 hours and earned $168 and the helper worked for 3 hours and earned $45 dollars. In total, they earned $213.

Answer:

mark other guy brainly, his answer is right, and he truly deserves it, he got expert verified

Step-by-step explanation:

Hay algo que, aunque te pertenezca, la gente siempre lo utiliza más que tú. ¿Qué es?

Answers

Answer:

Respuesta: tu nombre  (Answer: your name)

Step-by-step explanation:

Can someone help me with this please

Answers

Answer:

medium: 16large: 18

Step-by-step explanation:

Using the variable definitions shown, the two given relations are ...

  11 +x +y = 45 . . . . . . 45 total orders

  x = y -2 . . . . . . . . . . 2 fewer medium orders than large

__

Using the second equation, we can substitute for x in the first equation to solve this system:

  11 +(y -2) +y = 45

  2y = 36 . . . . . . . . . . collect terms and subtract 9 from both sides

  y = 18 . . . . . . . . . . . divide both sides by 2

  x = 18 -2 = 16 . . . . use the second equation to find the value of x

16 people ordered medium, and 18 people ordered large coffees.

Write an equation of a line that is perpendicular to the line whose equation is
2y = 3x – 10 and passes through (–6, 1).

Answers

Answer:

point-slope form: [tex]y-1=\frac{-2}{3}(x+6)[/tex]

y-intercept form: [tex]y=\frac{-2}{3}x-3[/tex]

Step-by-step explanation:

hope this helps :)

systems of equations by elimination
8x+14y=4
-6x-7y=-10

Answers

Answer:

x = 6/5

y = 2/5

Step-by-step explanation:

this is the answer i got please mark brainliest i really need it cuz i need 2 more

Your school is planning a banquet. The cost of renting a function is $180. The cost of food is $18 for each person. How many people attending the banquet if the total cost was $1,638? Write and solve an equation

Answers

81.

18 x 81 is $1,458 and if you add the $180 it costs to rent the place it totals to $1,638
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