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3 years ago

Given 4/ (-2 - 6sin(theta)) What type of directrix does this conic have?

Mathematics

1 answer:

atroni [7]3 years ago

6 0

Answer:

a horizontal line

Step-by-step explanation:

The hyperbola opens vertically, so the directrix is a horizontal line (a different one for each branch).

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Evaluate the indefinite integral as an infinite series

AlladinOne [14]

sinx=x-x^3/3!+x^5/5!-x^7/7!+x^9/9!

sinx/3x=1/3-x^2/18+x^4/360-x^6/15120+x^8/1088640

∫sinx /3x dx=x/3-x^3/54+x^5/1800-x^7/105840+x^9/9797760

6 0

3 years ago

Find the dimensions of the box described.

Rina8888 [55]

The dimensions of the box are 6 inches, 12 inches and 10 inches

Step-by-step explanation:

There is a box, with dimensions length, width and height

The length is twice as long as the width
The height is 4 inches greater than the width
The volume is 720 cubic inches

We need to find its dimensions

Assume that the width of the box is x

∵ The width of the box is x

∵ The length is twice as long as the width

- Twice means times 2

∴ The length of the box = 2(x) = 2x

∵ The height is 4 inches greater than the width

- 4 inches greater means add 4

∴ The height of the box = x + 4

∵ The volume of the box = length × width × height

∵ length = 2x , width = x , height = x + 4

∴ The volume of the box = (2x) × (x) × (x + 4)

∵ (2x) × (x) = 2x²

∵ 2x²(x + 4) = (2x²)(x) + (2x²)(4) = 2x³ + 8x²

∴ The volume of the box = 2x³ + 8x²

∵ The volume of the box is 720 inches³

∴ 2x³ + 8x = 720

- Subtract 720 from both sides

∴ 2x³ + 8x² - 720 = 0

- Use your calculator to solve the equation and find the value of x

∴ x = 6

∴ The width of the box = 6 inches

∴ The length of the box = 2(6) = 12 inches

∴ The height of the box = 6 + 4 = 10 inches

The dimensions of the box are 6 inches, 12 inches and 10 inches

Learn more:

You can learn more about volume in brainly.com/question/12497249

#LearnwithBrainly

5 0

4 years ago

Find the absolute value<br><br> [5] = ________

Klio2033 [76]

Answer:

Step-by-step explanation:

the absolute value of a number is its distance from zero on a number line. so the absolute value of 5 is 5.

4 0

3 years ago

A large drain and a small drain are opened to drain a pool. The large drain can empty the pool in 2 h. After both drains have be

Over [174]

Answer:

Step-by-step explanation:

Let X be the time for only a small drain, the work completed would be unity.

The small drain has been open for a total of 11 hours, one hour next to the large one, and 10 hours alone.

We have that large drainage can accomplish this in 2 hours.

We have the following system:

1/2 + 11 / x = 1

solving, we have:

11 / x = 1 - 1/2

11 / x = 1/2

x = 11 * 2

x = 22

I mean it would take a total of 22 hours for the small drain alone

5 0

3 years ago

Read 2 more answers

If the circumference of a circle is about 15.4 cm, estimate to the nearest whole number the diameter of the circle

nasty-shy [4]

The nearest whole number the diameter of the circle is 5.0 cm.

<u>Given the following data:</u>

Circumference of a circle = 15.4 cm

To estimate to the nearest whole number the diameter of the circle:

In this exercise, you're required to solve for the diameter of a circle and round up its value to the nearest whole number.

<h3>How to calculate the circumference of a circle.</h3>

Mathematically, the circumference of a circle is given by the formula:

$Circumference = \pi D$

<u>Where:</u>

D is the diameter of a circle.

Making D the subject of formula, we have:

$D =\frac{circumference}{\pi}$

Substituting the given parameters into the formula, we have;

$D =\frac{15.4}{3.142}$

D = 4.90 cm

To the nearest whole number:

D = 4.90 ≈ 5.0 cm

Read more on circumference of a circle here: brainly.com/question/14478195

6 0

2 years ago