This cone has a radius of 18 inches and a height of 3 feet.
What is the length of the radius in feet?
Round your answer to the nearest tenth place.
Find the volume of the cone in cubic feet?
Round your answer to the nearest tenth place.

Answer:

Step-by-step explanation:

Answer:

A. Yes; measure of interior angle = 90

Step-by-step explanation:

I calculated it logically

Answer: 0.0016

Step-by-step explanation: To find the fraction square root, first, find the square root of the numerator and then find the square root of denominator. After finding the square root values, simplify the fraction.

Answer: 1, 2, and 4.

Step-by-step explanation: Each must be wider than the angle than a "L" has.

(a). The graph of y = -f(x) is shown in the image below.

(b). The graph of y = g(-x) is shown in the image below.

By reflecting the parent absolute value function g(x) = |x + 2| - 4 over the x-axis, the transformed absolute value function can be written as follows;

y = -f(x)

y = -|x + 2| - 4

Part b.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = rise/run

Slope (m) = -2/4

Slope (m) = -1/2

At data point (0, 5) and a slope of -1/2, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = -1/2(x - 0)

g(x) = -x/2 + 5, -4 ≤ x ≤ 4.

y = g(-x)

y = x/2 + 5, -4 ≤ x ≤ 4.

Read more on reflection here: brainly.com/question/27912791

#SPJ1

Answer:

D

Step-by-step explanation:

Answer:

We can substitute the given values of p, m, and n into the formula for h:

h = p√(m^2 + n)

h = 3√(6^2 + 20)

h = 3√(36 + 20)

h = 3√56

We can simplify this by factoring 56 into its prime factors:

h = 3√(2^3 × 7)

h = 3 × √(2^2 × 7) × √2

h = 3 × 2√7

Therefore, when p = 3, n = 20, and m = 6, the value of h is 6√7 or approximately 13.42.

Answer:

(1.985, 15.815)

Step-by-step explanation:

Given that:

Sample size (n) = 20

Standard deviation (s) = 11.986

Mean (m) = 8.9

α = 99%

Using the relation :

Confidence Interval = Mean ± Error

Where ;

Error = Zcritical * standard deviation / sqrt(n)

Zcritical at 99% = 2.58

Hence,

Error = 2.58 * (11.986/sqrt(20))

Error = 2.58 * 2.6801510

Error = 6.91478958

Hence,

Lower boundary = 8.9 - 6.91478958 = 1.98521042

Upper boundary = 8.9 + 6.91478958 = 15.81478958

(1.985, 15.815)

Answer:

C. 26 yards

Step-by-step explanation:

Total length of Jamie's fence = sum of all distances from one vertex of the polygon to another = AB + BC + CD + DE + EF + FA

Use the distance formula, \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \), to find the distance between vertexes.

Distance between A(-5, 5) and B(0, 5)

Let,

\( A(-5, 5) = (x_1, y_1) \)

\( B(0, 5) = (x_2, y_2) \)

\( AB = \sqrt{(0 -(-5))^2 + (5 - 5)^2} \)

\( AB = \sqrt{(5)^2 + (0)^2} \)

\( AB = \sqrt{25 + 0} = \sqrt{25} \)

\( AB = 5 \)

Distance between B(0, 5) and C(4, 2)

Let,

\( B(0, 5) = (x_1, y_1) \)

\( C(4, 2) = (x_2, y_2) \)

\( BC = \sqrt{(4 - 0)^2 + (2 - 5)^2} \)

\( BC = \sqrt{(4)^2 + (-3)^2} \)

\( BC = \sqrt{16 + 9} = \sqrt{25} \)

\( BC = 5 \)

Distance between C(4, 2) and D(1, -2)

Let,

\( C(4, 2) = (x_1, y_1) \)

\( D(1, -2) = (x_2, y_2) \)

\( CD = \sqrt{(1 - 4)^2 + (-2 - 2)^2} \)

\( CD = \sqrt{(-3)^2 + (-4)^2} \)

\( CD = \sqrt{9 + 16} = \sqrt{25} \)

\( CD = 5 \)

Distance between D(1, -2) and E(-2, -2)

Let,

\( D(1, -2) = (x_1, y_1) \)

\( E(-2, -2) = (x_2, y_2) \)

\( DE = \sqrt{(-2 - 1)^2 + (-2 -(-2))^2} \)

\( DE = \sqrt{(-3)^2 + (0)^2} \)

\( DE = \sqrt{9 + 0} = \sqrt{9} \)

\( DE = 3 \)

Distance between E(-2, -2) and F(-5, 2)

Let,

\( E(-2, -2) = (x_1, y_1) \)

\( F(-5, 2) = (x_2, y_2) \)

\( EF = \sqrt{(-5 -(-2))^2 + (2 -(-2))^2} \)

\( EF = \sqrt{(-3)^2 + (4)^2} \)

\( EF = \sqrt{9 + 16} = \sqrt{25} \)

\( EF = 5 \)

Distance between A(-5, 5) and F(-5, 2)

Let,

\( A(-5, 5) = (x_1, y_1) \)

\( F(-5, 2) = (x_2, y_2) \)

\( FA = \sqrt{(-5 -(-5))^2 + (2 - 5)^2} \)

\( FA = \sqrt{(0)^2 + (-3)^2} \)

\( FA = \sqrt{0 + 9} = \sqrt{9} \)

\( FA = 3 \)

Total length of Jamie's fence in yards = 5 + 5 + 5 + 5 + 3 + 5 + 3 = 26 yards

Answer:

Step-by-step explanation:

- 2 ≤ x ≤ 1

x ∈ [ - 2 , 1 ]

Answer:

How we will solve:

- 2 ≤ x ≤ 1

x ∈ [ - 2 , 1 ]

Answer:

The solution to the given problem can be obtained by sum formula of arithmetic progression.

In arithmetic progression difference of two consecutive terms is constant. The multiples of any whole number(in sequence) form an arithmetic progression.

The first multiple of 3 is 3 and the 100th multiple is 300.

3, 6, 9, 12,... 300. There are 100 terms.

The sum 3 + 6 + 9 + 12 + ... + 300 can be obtained by applying by sum formula for arithmetic progression.

Sum = (N/2)(First term + Last term)

where N is number of terms which in this case is 100.

First term = 3; Last term = 300.

Sum = (100/2)(3 + 300) = 50 x 303 = 15150.

Step-by-step explanation:

Brainliest please tysm

Answer:

  (b)  cos(3π/10)

Step-by-step explanation:

The given expression matches the trig identity form for the cosine of the difference of two angles:

  cos(α-β) = cos(α)cos(β) +sin(α)sin(β)

__

To match the given expression exactly, we can choose ...

  α = π/2

  β = π/5

Then the difference is ...

  α -β = π/2 -π/5 = (5/10)π -(2/10)π = 3π/10

The given expression can be shortened to ...

  cos(3π/10)

__

Additional comment

Sometimes it can be difficult to remember when the signs in trig identities match, and when they differ. The fact that cosines of smaller angles have larger values can be a peg on which to hang that hat.

The formula that calculates the compound rate from the given values is \(r = n(-1 + \sqrt[10n]{\frac{P + I}{P}})\)

The compound interest formula is:

\(I = P(1 + \frac rn)^{nt} - P\)

Where:

We start by adding P to both sides

\(P + I = P(1 + \frac rn)^{nt}\)

Divide through by P

\(\frac{P + I}{P} = (1 + \frac rn)^{nt}\)

Take the nt-th root of both sides

\(\sqrt[nt]{\frac{P + I}{P}} = 1 + \frac rn\)

Subtract 1 from both sides

\(-1 + \sqrt[nt]{\frac{P + I}{P}} = \frac rn\)

Multiply through by n

\(r = n(-1 + \sqrt[nt]{\frac{P + I}{P}})\)

In this case, t = 10

So, we have:

\(r = n(-1 + \sqrt[10n]{\frac{P + I}{P}})\)

Hence, the formula that calculates the compound rate is \(r = n(-1 + \sqrt[10n]{\frac{P + I}{P}})\)

Read more about compound interest at:

https://brainly.com/question/13155407

#SPJ1

\(~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ J(\stackrel{x_1}{-7}~,~\stackrel{y_1}{-7})\qquad K(\stackrel{x_2}{-9}~,~\stackrel{y_2}{1}) ~\hfill JK=\sqrt{(~~ -9- (-7)~~)^2 + (~~ 1- (-7)~~)^2} \\\\\\ ~\hfill JK=\sqrt{( -2)^2 + ( 8)^2} \implies \boxed{JK=\sqrt{ 68 }}\)

\(K(\stackrel{x_1}{-9}~,~\stackrel{y_1}{1})\qquad L(\stackrel{x_2}{-1}~,~\stackrel{y_2}{-1}) ~\hfill KL=\sqrt{(~~ -1- (-9)~~)^2 + (~~ -1- 1~~)^2} \\\\\\ ~\hfill KL=\sqrt{( 8)^2 + ( -2)^2} \implies \boxed{KL=\sqrt{ 68 }} \\\\\\ L(\stackrel{x_1}{-1}~,~\stackrel{y_1}{-1})\qquad J(\stackrel{x_2}{-7}~,~\stackrel{y_2}{-7}) ~\hfill LJ=\sqrt{(~~ -7- (-1)~~)^2 + (~~ -7- (-1)~~)^2} \\\\\\ ~\hfill LJ=\sqrt{( -6)^2 + (-6)^2} \implies \boxed{LJ=\sqrt{ 72 }}\)

well, let's notice, the triangle has two sides that are twins, JK and KL, that means is an isosceles, and isosceles triangle is a triangle with twin sides.

Answer:

the answer is 36 x + 41y

happy to help!

The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.

We have,

To evaluate the limit of the expression as x approaches 0, we can simplify the expression first.

The expression is given as lim(x approaches 0) (cosec(2x) - x cosec³(x)).

Using trigonometric identities, we can rewrite cosec(2x) as 1/sin(2x) and cosec³(x) as 1/(sin(x))³.

Substituting these into the expression,

We get lim(x approaches 0) (1/sin(2x) - x (1/(sin(x))³)).

Now, let's evaluate the limit term by term:

lim(x approaches 0) (1/sin(2x)) = 1/sin(0) = 1/0 (which is undefined).

lim(x approaches 0) (x (1/(sin(x))³))

= 0 (1/(sin(0))³)

= 0 x 1/0 (which is also undefined).

Since both terms of the expression are undefined as x approaches 0, we cannot determine the limit of the expression.

Therefore,

The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.

Learn more about limits here:

https://brainly.com/question/12211820

#SPJ1

Answer:

400^2 = 160 000

Step-by-step explanation:

The square of a number means the product of a number by itself, while the perfect square ... For example, the number 9 is a perfect square because it can be expressed as a product of ... A square football pitch has a perimeter of 400 meters.

The rate of change of the simple index over one day is approximately 12.78%.

To calculate the rate of change of the simple index over one day, we need to determine the percent change in the total value of the index between Monday's opening and Tuesday's opening.

On Monday, Stock A has 5000 shares at $2.75 per share, so its total value is:

Total value of Stock A on Monday = 5000 * $2.75 = $13,750

Similarly, on Monday, Stock B has 3000 shares at $4.30 per share, so its total value is:

Total value of Stock B on Monday = 3000 * $4.30 = $12,900

The total value of the index on Monday is the sum of the values of Stock A and Stock B:

Total value of the index on Monday = $13,750 + $12,900 = $26,650

On Tuesday, Stock A opens at $3.10 per share, and Stock B opens at $4.85 per share. Both stocks still have the same number of shares as on Monday.

The total value of Stock A on Tuesday is:

Total value of Stock A on Tuesday = 5000 * $3.10 = $15,500

The total value of Stock B on Tuesday is:

Total value of Stock B on Tuesday = 3000 * $4.85 = $14,550

The total value of the index on Tuesday is the sum of the values of Stock A and Stock B:

Total value of the index on Tuesday = $15,500 + $14,550 = $30,050

To calculate the percent change in the index, we use the formula:

Percent Change = ((New Value - Old Value) / Old Value) * 100

Percent Change = (($30,050 - $26,650) / $26,650) * 100 ≈ 12.78%

For more such question on index. visit :

https://brainly.com/question/15361818

#SPJ8

Answer:

Step-by-step explanation:

To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.

For example:

y=-2/3(-6)=7

-2/3x6=-4

-4+7=3

(-6,3)

You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.

To get the x value, you need to fill in the y in the equation y=-2/3x+7

for example:

5=-2/3x+7

-2=-2/3x

3=x

(3,5)

y=-2/3x+7

y=-2/3(15)+7

y=-10+7

y=-3

(15,-3)

y=-2/3x+7

15=-2/3x+7

8=-2/3x

-12=x

(-12,15)

We are given the following:

To solve the equation we will first subtract 4 from both sides:

Now, we divide both sides by 18:

Now, we simplify the expression by dividing the numerator and denominator by 3:

Therefore, the value of "x" is -1/6.

Answer:

$24

Step-by-step explanation:

Fist, you will multiply the percent, 15, and the total money amount, 160, which you would get 2,400. Then, divide 2,400 by 100, and there you will get the tip, $24. I hope this helps :)

Answer:

  1 plane

Step-by-step explanation:

In Euclidean geometry, three non-collinear points will define exactly one plane.

__

Two points will define a line. That line can exist in an infinity of different planes.

A third point not on the line can only lie in exactly one plane with that line.

Three non-collinear points in Euclidean geometry can lie on one unique plane.

In Euclidean geometry, any three non-collinear points (points not lying on the same line) uniquely determine a plane.

This means that there is only one plane that contains all three of those points.

So, given three non-collinear points, you can find exactly one plane that passes through all of them.

Hence, if the three points not on the same line can lie on one plane.

To learn more on Coordinate Geometry click:

brainly.com/question/27326241

#SPJ3

Answer:

see pic

Step-by-step explanation:

The probability that at least 2 of the colors will be the same, the following is the best simulation is Option D Put 5 pieces of paper in a bag, each labeled with a different color. For each trial, randomly select and replace a paper 7 times. Run 50 trials and find the fraction of times that at least two of the same color appear.

Given, Sienna buys a mystery pack of sparkly modeling clay. The pack has 5 colors, and there are 7 possible colors that are all equally likely. We have to find the probability that at least 2 of the colors will be the same. There are 5 colors in the pack of clay, and 7 colors are possible in total.

So, the probability of picking any color at random is

P(picking a color) = 5/7 = 0.7143Let P(X = 2) be the probability that exactly 2 of the colors are the same.

Then, the probability that at least 2 of the colors are the same can be calculated by using the formula:

P(X ≥ 2) = 1 - P(X < 2).

The simulation method that can be used to find the probability of at least 2 of the colors will be the same in the mystery pack is option D.

Put 5 pieces of paper in a bag, each labeled with a different color. For each trial, randomly select and replace a paper 7 times. Run 50 trials and find the fraction of times that at least two of the same color appear.

Know more about probability    here:

https://brainly.com/question/25839839

#SPJ8

Answer:

- 2.7 < - 2.2

Step-by-step explanation:

Answer:

97

Step-by-step explanation:

Number of adult tickets = a.

Number of student tickets = s.

"A total of 388 tickets were sold"

a + s = 388

"the number of student tickets sold was three times the number of adult tickets sold"

s = 3a

a + s = 388

s = 3a

Substitute s in the first equation with 3a.

a + 3a = 388

4a = 388

a = 97

Answer: 97 tickets