arc length of an oval that is 6ft by 5ft. i just want 1/4 of the oval. i want to find out how long i would need a wire to go from the ground to the middle of the "dome".
the picture explains it better.

in the end i want to have a wire frame around the garden and than take some netting and use that to keep out the big bugs and birds. i will of course use zip ties to attach the screen/netting to the frame. unless there is a easier and cheaper way to do this.​

Arc Length Of An Oval That Is 6ft By 5ft. I Just Want 1/4 Of The Oval. I Want To Find Out How Long I

Answers

Answer 1

You can model the ellipse with the equation

(x/6)² + (y/5)² = 1

If you're comfortable with calculus, read on.

Let x = 6 cos(t ) and y = 5 sin(t ), with 0 ≤ t ≤ π/2. Then the curve C parameterized by (x(t), y(t)) traces out one quarter of the ellipse. The arc length of this curve is given by the integral,

[tex]\displaystyle\int_C\mathrm ds = \int_0^{\pi/2}\sqrt{x'(t)^2+y'(t)^2}\,\mathrm dt \\\\ = \int_0^{\pi/2}\sqrt{36\sin^2(t)+25\cos^2(t)}\,\mathrm dt \\\\ = \int_0^{\pi/2}\sqrt{25+11\sin^2(t)}\,\mathrm dt \\\\ = 5\int_0^{\pi/2}\sqrt{1+\frac{11}{25}\sin^2(t)}\,\mathrm dt[/tex]

Unfortunately, you cannot find the exact value of this integral. (Well, you can, but it involves introducing a special kind of function; I'll link it in a comment.)

But you can approximate it, and the integral above comes out to about 8.657.

I'm not sure if there's a simpler, purely geometric way to estimate the arc length. But since the semiaxes (5 ft and 6 ft) are fairly close, you could try a circle with a radius somewhere in between. The arc length would range between 7.854 ft and 9.425 ft. If the material isn't too expensive, you can always overshoot and trim off the excess or repurpose it.


Related Questions

hurryyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

Answers

Answer:

D. II & III

Step-by-step explanation:

II  (x - 4)(2x + 9)  = 2x² + x - 36

III (x - 4)(x - 6) = x²- 10x + 24

I has factors (x + 4)(x - 8)

IV has factors x(x - 16)

if 1/a=1/b+1/c+1/d find c when a=2, b=3 and d=5

guys help me with this question please​

Answers

Answer:

c is -30

Step-by-step explanation:

I. 1/a - 1/b - 1/d = 1/c

II. 1/2 - 1/3 - 1/5 = 1/c

III. (15-10-6)/30 = 1/c

IV. -1/30 = 1/c

V. so c.value is -30

i have 17 coins. N of them are nickels and the rest are dimes. write an expression in two different ways for the amount of money that i have

Answers

Answer:

Step-by-step explanation:

(N)0.05 + (17-N)0.1 = M; M = amount of money I have.

Or 1.7-0.05N = M.

An expression two different ways to  the amount of money is equals to

1. 5N + 10 (17 -N)  = Y cents

2. N + 2(17 - N) = Y nickels

What is amount?

" Amount is defined as the total of any given quantity."

According to the question,

Total number of coins = 17

Number of nickels coins = N

Number of dimes coin = 17 - N

'Y' express the amount of money

Represent amount of money in cents

1 dime = 10 cents

1 nickel = 5 cents

Expression to represents amount of money in cents,

5N + 10 (17 -N)  = Y cents

Expression to represents amount of money in nickels,

1 dime = 2 nickel

N + 2(17 - N) = Y nickels

Hence, an expression two different ways to  the amount of money is equals to

1. 5N + 10 (17 -N)  = Y cents

2. N + 2(17 - N) = Y nickels

Learn more about amount here

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Rita and Tina each make $11 an hour working as cashiers at a supermarket. Last week, Rita worked r hours while Tina worked t hours. Rita also worked overtime hours during the week, for which she was paid an extra $32 flat wage. Which expressions represent the total weekly wages of both Rita and Tina?
Rita and Tina's total weekly wages can be represented as

Answers

Answer:

Step-by-step explanation:

11t= tina

Rita= 11r+32

What is the average rate of change for this quadratic function for the interval
from x = 3 to X = 5?

Answers

Answer:

4

Step-by-step explanation:

average = mean of the data

(3 +5)/2

=8/2

=4

Answer:

8

Step-by-step explanation:

f(x2) -f(x1)

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

x2-x1

x2 = -3  and x1 = -5

What is the equation of the sinusoid?
TI
21
Зп
47

Answers

Answer:

y = sin( x/2)

Step-by-step explanation:

The amplitude is 1

The period is 4pi

y = A sin ( Bx)

where A is the amplitude and B is 2pi/ period

y = 1sin (2pi/ 4pi x)

y = sin( x/2)

Answer:

Step-by-step explanation:

c

Can someone help me with this

Answers

Answer:

Step-by-step explanation:

The formula for this, specific to our circle, is

∠RQP = [tex]\frac{1}{2}[/tex](arc SP - arc RP) and filling in:

∠RQP = [tex]\frac{1}{2}(170-86)[/tex] and

∠RQP = [tex]\frac{1}{2}(84)[/tex] so

∠RQP = 42°

Evaluate the expression when b= -6.
b^2-6b+4

Answers

-6^2 = 36 + 36 + 4 + 76
-6(-6) = 36

Answer:

76

Step-by-step explanation:

when b = -6

b^2 - 6b + 4

(-6)^2 - 6(-6) + 4

36 + 36 + 4 = 76

(remember, a negative times a negative always equals a positive)

... please mark as brainliest!! :)) ...

You have $475 in your savings account that earns 3.25% simple interest each year. How much interest will you accumulate after 7 years?

Answers

Answer:

$613.45

Step-by-step explanation:

Multiply $475 by 3.25% of it and so on 7 times, which adds up to 613.4993293. Round that to 613.45

Change 3/5
to a decimal fraction.
O 3.5
0.35
O 0.06
0.6

Answers

3 / 5 = 0.6

3/5 = 60/100 = 60% = 0.6

Hope this helps!

Answer: 0.6

Step-by-step explanation: if 1/5=.20 3/5=.6

What is the equation of the line that is perpendicular to the line y = 2x + 5 and
passes through the point (-4, 2)?

Answers

Answer:

y = -1/2x

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = 2x + 5. Its slope is 2. A line perpendicular to this one will have a slope of -1/2.

Plug this value (-1/2) into your standard point-slope equation of y = mx + b.

y = -1/2x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (-4, 2). Plug in the x and y values into the x and y of the standard equation.

2 = -1/2(-4) + b

To find b, multiply the slope and the input of x (-4)

2 = 2 + b

Now, subtract 2 from both sides to isolate b.

0 = b

Plug this into your standard equation.

y = -1/2x + 0 or y = -1/2x

This equation is perpendicular to your given equation (y = 2x + 5) and contains point (-4, 2)

Hope this helps!

Which linear inequality is represented by the graph?

Answers

Answer:

D

Step-by-step explanation:

The correct answer is D

Answer:

D

Step-by-step explanation:

y<2/3 x-1 is the answer

HELP ITS DUE IN THE MORNING AND ITS 3:57​

Answers

Answer:

A " (1,-2)

B " (4,0)

C " (6,-3)

Step-by-step explanation:

Hope it helped.

° ° °

Rewrite the radical expression as an expression with rational exponents.

cube root of x to the power of 8

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt[3]{x^8}=x^{\frac{8}{3}[/tex]  The little number outside is called the index and that always serves as the denominator in the rational exponent. The power on the radicand (the radicand is whatever is inside the radical) serves as the numerator.

how do i find the length of VN​

Answers

Answer:

30

Step-by-step explanation:

let the length of VN be x

VNB ~ VMD

VN/VM = BN/DM

x/(30+x) = 12/24

24x=12(30+x)

24x=360+12x

12x=360

x = 30

The ratio of the cost of a shirt to the cost of a jacket is 2:5. If the jacket cost $240 more than the shirt,
find the cost of the shirt and the cost of the jacket.

Answers

Given:

The ratio of the cost of a shirt to the cost of a jacket is 2:5.

The jacket cost $240 more than the shirt.

To find:

The cost of the shirt and the cost of the jacket.

Solution:

Let x be the cost of the shirt.

The jacket cost $240 more than the shirt. So, the cost of Jacket is (x+240).

The ratio of the cost of a shirt to the cost of a jacket is 2:5. So,

[tex]\dfrac{x}{x+240}=\dfrac{2}{5}[/tex]

[tex]5x=2(x+240)[/tex]

[tex]5x=2x+480[/tex]

Subtract 2x from both sides.

[tex]5x-2x=480[/tex]

[tex]3x=480[/tex]

Divide both sides by 3.

[tex]x=\dfrac{480}{3}[/tex]

[tex]x=160[/tex]

So, the cost of shirt is $160.

Now, the cost of jacket is:

[tex]160+240=400[/tex]

Therefore, the cost of shirt is $160 and the cost of jacket is $400.

PLEASE HELP WILL GIVE BRAILNLIEST! Find the value of x

Answers

Answer:

x = 14.63

Step-by-step explanation:

volume of a cuboid whose edges are 4 cm, 5 cm and 6 cm​

Answers

Answer:

120

Step-by-step explanation:

Formula for cuboid: L × W × H

Plug in:

L × W × H

4 × 5  × 6

^    ^

20    ×  6

 ^          ^

     120

Hope this helps.

Lorraine writes the equation shown. x²+4-15=0 She wants to describe the equation using the term relation and the term function. The equation represents a relation and a function a relation but not a function a function but not a relation neither a relation nor a function

Answers

Answer:

Neither a relation nor a function

Step-by-step explanation:

A relation in mathematics is a relationship between two or more set of values in an ordered pair, such as related x and y-values

An equation is a statement that gives declare the equality between two expressions

A function is a mapping rule that maps each element in the domain set to only one element in the range set

Therefore, the given equation in one variable, x, that asserts the equality of the expressions on the left and right hand side, is neither a relation nor a function

please help me out :)

Answers

Answer:

534.0707511

Step-by-step explanation:

Answer:

534.07

Step-by-step explanation:

2 π r h +2 π =2π512 + 2π5² 534.0

I hope this will help you if not then sorry i have tried :)

In this activity, you will create an equation for a function represented by a verbal description.

Vicky charged her phone’s battery to 100 percent. Then she took the phone off the charger. When her phone is off the charger, it loses 5 percent of its battery life every hour. What function models the percentage of battery life left in terms of the number of hours since Vicky took it off the charger?

What is the initial value of the function? Is it positive or negative? Explain your answer.

What is the function’s rate of change? Is it positive or negative? Explain your answer.

Answers

Answer:

1) The initial value of the function is the y-value when the x-value is zero. The number of hours is the x-value and the percentage of battery life left is the y-value. When the number of hours, x, is 0, the percentage of remaining battery life, y, is 100 percent. So, the initial value of the function is 100. The initial value is positive because the percentage of remaining battery life cannot be negative.

2) The rate of change is the rate at which the y-value changes with respect to a change in the x-value. When off the charger, the phone loses its battery life at a constant rate of 5 percent per hour. So, the function’s rate of change is -5. The rate of change is negative because the rate indicates that the percentage of remaining battery life decreases as the number of hours increases.

Step-by-step explanation: I just did the tutorial right now i hope this helps

Answer:

part a = The number of hours since Vicky took the phone off the charger is the independent quantity, so the variable x should represent it.

part b = The percentage of battery life left in hours is the dependent quantity, so the variable y should represent it.

part c = The initial value of the function is the y-value when the x-value is zero. The number of hours is the x-value and the percentage of battery life left is the y-value. When the number of hours, x, is 0, the percentage of remaining battery life, y, is 100 percent. So, the initial value of the function is 100. The initial value is positive because the percentage of remaining battery life cannot be negative.

part d = The rate of change is the rate at which the y-value changes with respect to a change in the x-value. When off the charger, the phone loses its battery life at a constant rate of 5 percent per hour. So, the function’s rate of change is -5. The rate of change is negative because the rate indicates that the percentage of remaining battery life decreases as the number of hours increases.

part e = The rate of change of the function, m, is -5, and the initial value of the function, b, is 100. Substitute the values of m and b in the equation y = mx + b. The equation of the function that models the phone’s remaining battery life in terms of the number of hours from the time Vicky took it off the charger is y = -5x + 100.

Step-by-step explanation:

All edmentum answers :)

PLS PLS help me create a new polynomial identity ASAP!!!!!

(y+x) + (ax+b)

Square the expression on the left, then add the expression on the right.

Answers

Answer:

ax + b + y^2 + 2yx + x^2

Step-by-step explanation:

(y+x)^2

= (y+x)(y+x)

= y^2 + 2yx + x^2

y^2 + 2yx + x^2 + (ax+b)

= ax + b + y^2 + 2yx + x^2

Angie used 4 apples and 5 strawberries in her fruit salad. Salim used 7 apples and 9 strawberries. Did Angie and Salim use the same ratio of apples to strawberries? If not, who used the greater ratio of apples to strawberries?

Answers

Answer:

We can write a ratio between two quantities, x and y, as:

x to y.

To find if two ratios:

"a to b" and "c to d" are equal, we need to see if the quotientes:

a/b and c/d are equal.

Here we know that the ratios are:

4 apples to 5 strawberries, this gives the quotient 4/5 = 0.8

7 apples to 9 strawberries, this gives the quotient 7/9 = 0.78

So the quotients are different, which means that the ratios are not equal.

Now we want to see who used a greater ratio of apples to strawberries.

notice that in the numerator we used the number of apples, so as larger is the quotient, larger is the ratio of apples to strawberries.

We can see that the quotient of Angie is larger, then Angie used the greater ratio of apples to strawberries.

The graph shows a probability distribution.
What is P(X < 3)?

Answers

Answer:

6/20 = 3/10 = 30%

Step-by-step explanation:

Given the radius and area of the circle, calculate the angle at the centre of the circle.

Radius : 21 m
Area of the circle : 27.72 m^2​

Answers

Answer:

[tex] \theta = 7 .2\degree [/tex]

Step-by-step explanation:

[tex]area = \frac{\theta}{360} \times \pi {r}^{2} \\ 27.72 = \frac{\theta}{360} \times \pi \times {21}^{2} \\ 27.72 = \frac{\theta}{360} \times \pi \times 441 \\ \frac{27.72 \times 360}{441\pi} = \theta \\ \frac{9979.2}{1385.4} = \theta \\ \\ 7 .2\degree = \theta[/tex]

Whats the chance of rolling the correct number 1-6500
When every time you guess a number the number changes
So if i guess 800 every time how many guesses to get the correct number

Answers

There is an 8.125 chance you can get the correct number , If you keep getting 800 every time due to the random probability , For when you divide it as 6500 ÷ 800 = 8.125

Thanks , Please mark me brainliest

From TyrantMC

Jennifer invested $379 in a simple interest account. The account now has $554 in it. The money has been invested for 5 years. What interest rate (as a percentage) did this account have?

Answers

9514 1404 393

Answer:

  9.23%

Step-by-step explanation:

The account balance for simple interest is given by ...

  A = P(1 +rt) . . . . . principal P invested for t years at rate r

  554 = 379(1 +r·5)

  554 = 379 + 1895r . . . . eliminate parentheses

  175 = 1895r . . . . . . . . . subtract 379

  r = 175/1895 ≈ 0.092348 ≈ 9.23%

Jennifer's account had an interest rate of about 9.23%.

The report "Digital Democracy Surveyt describes a large national survey. In a representative sample of Americans ages 14 to 18 years, 45% indicated that they usually use social media while watching
TV. Suppose that the sample size was 760.
(a) Is there convincing evidence that less than half of Americans ages 14 to 18 years usually use social media while watching TV? Use a significance level of 0.05.
State the appropriate null and alternative hypotheses.
O Hop 0.5 versus Hp > 0.5
O Moip 0.5 versus H: = 0.5
O Hp = 0.5 versus HP < 0.5
OH:P < 0.5 versus , p > 0.5
OHOD 0.5 versus H: 0.5
Find the test statistic and P-value. (Use a table or technology. Round your test statistic to two decimal places and your p-value to four decimal places.)
ZE
P-value

Answers

Answer:

H0 : p = 0.5 versus H1: P < 0.5

Test statistic = - 2.76

Pvalue = 0.0029

Step-by-step explanation:

The hypothesis :

We are to test if less Than half of the American population within the of 14 to 18 years usually use social media while watching TV :

Hence, population proportion, p = 0.5

H0: p = 0.5

H1: P < 0.5

Sample size, n = 760

Sample proportion, Phat = 45% = 0.45

The test statistic, Z :

Z = (Phat - P) / √[(P(1 - P)) /n]

Z = (0.45 - 0.5) / √[(0.5(1 - 0.5)) /760]

Z = - 0.05 / √0.0003289

Z = - 2.7568 ; Z = - 2.76 (2 decimal places)

The Pvalue :

Using technology :

Pvalue from Zscore calculator ; Pvalue = 0.0029

Decision region :

Reject H0 if Pvalue < α

α = 0.05

Since 0.0029 < 0.05 ; we reject the Null and conclude that less than half of American within age 14 to 18 years usually use social media while watching TV.

plz answer quick!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

[tex]144\pi[/tex]cm

multiple 24 pi with 6 on a scientific calculator.

Answer:

4pi

Step-by-step explanation:

that is the procedure above

Answer? Which one is it? 1 2 3 or 4

Answers

It's bottom left

It says let C represent the cost of a one-year membership.

C is 80 in order to represent the day you must divide it by 10.

which gives one box for day and 10 boxes for year

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