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3 years ago

Each side of a square plastic tarp is 9 meters long. what is the tarps perimeter

Mathematics

1 answer:

emmainna [20.7K]3 years ago

8 0

Answer:

Step-by-step explanation:

9 times 4

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Find 3 different possibile pairs of values for a and b

Lynna [10]

a=1, b =18

a=2, b = 9

a = 3 , b = 6

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3 years ago

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Is the number rational or irrational?

Maru [420]

Well an an irrational number is a real number that cannot be expressed as a ratio of integers, i.e. as a fraction. A rational number is a number that can be written as a ratio. So 3/7 is a rational number, 0.38(with a line saying its continuous over .38) is rational, Square of 7/9 is irrational number, and 5 pi is an irrational number.

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3 years ago

A ramp is used to load suitcases on an airplane. If the cargo door is 7 feet from the ground and the angle formed by the end of

melisa1 [442]

Answer: $16.56\ ft$

Step-by-step explanation:

You must draw a right triangle as the one attached, where "x" is the lenght in feet of the ramp.

You need to use the following Trigonometric Identity:

$sin\alpha=\frac{opposite}{hypotenuse}$

In this case you can identify that:

$\alpha =25\°\\\\opposite=7\\\\hypotenuse=x$

Now you must substitute these values into $sin\alpha=\frac{opposite}{hypotenuse}$ :

$sin(25\°)=\frac{7}{x}$

Finally, you must solve for "x" in order to find its value.

This is:

$sin(25\°)=\frac{7}{x}\\\\xsin(25\°)=7\\\\x=\frac{7}{sin(25\°)}\\\\x=16.56$

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3 years ago

A side of a square is 8 3/2 inches. Using the area formula A = s2, determine the area of the square.

Sedaia [141]

We are given that:
side length = 8 3/2 inches = 9.5 inches
the rule for the area is: A = s^2

Substitute with the side length in the rule given to get the area as follows:
Area = s^2 = (9.5)^2 = 90.25 inch^2

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3 years ago

Find the vertices and foci of the hyperbola with equation quantity x plus one squared divided by sixteen minus the quantity of y

katrin2010 [14]

Answer:

The vertices are (3 , -5) , (-5 , -5)

The foci are (4 , -5) , (-6 , -5)

Step-by-step explanation:

* Lets study the equation of the hyperbola

- The standard form of the equation of a hyperbola with

center (h , k) and transverse axis parallel to the x-axis is

(x - h)²/a² - (y - k)²/b² = 1

- The length of the transverse axis is 2 a

- The coordinates of the vertices are (h ± a , k)

- The coordinates of the foci are (h ± c , k), where c² = a² + b²

- The distance between the foci is 2c

* Now lets solve the problem

- The equation of the hyperbola is (x + 1)²/16 - (y + 5)²/9 = 1

* From the equation

# a² = 16 ⇒ a = ± 4

# b² = 9 ⇒ b = ± 3

# h = -1

# k = -5

∵ The vertices are (h + a , k) , (h - a , k)

∴ The vertices are (-1 + 4 , -5) , (-1 - 4 , -5)

* The vertices are (3 , -5) , (-5 , -5)

∵ c² = a² + b²

∴ c² = 16 + 9 = 25

∴ c = ± 5

∵ The foci are (h ± c , k)

∴ The foci are (-1 + 5 , -5) , (-1 - 5 , -5)

* The foci are (4 , -5) , (-6 , -5)

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