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Furkat [3]
3 years ago
11

An airplane has a speed of 325 miles per hour in still air. If the plane flies directly south and

Mathematics
1 answer:
Serhud [2]3 years ago
8 0

Answer:

285 miles per hour is the closest resultant to the speed of the airplane

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The area of a rectangular piece of cardboard is represented by
Liula [17]

This question is solved applying the formula of the area of the rectangle, and finding it's width. To do this, we solve a quadratic equation, and we get that the cardboard has a width of 1.5 feet.

Area of a rectangle:

The area of rectangle of length l and width w is given by:

A = wl

w(2w + 3) = 9

From this, we get that:

l = 2w + 3, A = 9

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}

x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}

\Delta = b^{2} - 4ac

In this question:

w(2w+3) = 9

2w^2 + 3w - 9 = 0

Thus a quadratic equation with a = 2, b = 3, c = -9

Then

\Delta = 3^2 - 4(2)(-9) = 81

w_{1} = \frac{-3 + \sqrt{81}}{2*2} = 1.5

w_{2} = \frac{-3 - \sqrt{81}}{2*2} = -3

Width is a positive measure, thus, the width of the cardboard is of 1.5 feet.

Another similar problem can be found at brainly.com/question/16995958

5 0
2 years ago
Using complete sentences, discuss the different kinds of real numbers. In your answer, glve an example of each type and discuss
Nadya [2.5K]

Answer:

Different type of real numbers include natural numbers, whole numbers, integers, irrational numbers, and rational numbers. Natural numbers are the set of numbers (1, 2, 3, 4...) also known as counting numbers. Whole numbers are natural numbers including zero (0, 1, 2, 3, 4...). Integers are the set of whole numbers and their opposites (-3, -2, -1, 0, 1, 2, 3...). Irrational numbers are numbers that cannot be expressed as a ratio of two integers. Their decimal expansions are nonending and nonrepeating. An example of an irrational number is pi (3.14). A rational number is a number that can be written as a fraction. It includes integers, terminating decimals, and repeating decimals. An example of a rational number is the number 214.

Step-by-step explanation:

7 0
3 years ago
How much is each taco shell if you do 5.36 divided by 20
Paha777 [63]
It would be 26 cents per shell
7 0
3 years ago
Read 2 more answers
Consider the original complex figure and the reduction.
Dmitriy789 [7]

Answer:

1/8

Step-by-step explanation:

I'm going to try to explain this as easy as possible. What I did was take the original shape and divide it by the new shape. For this question, I solved it by dividing 32(the original base) by 4(the new base) and got 8. So the scale factor of the reduction was 1/8.

8 0
2 years ago
Is the following number rational or irrational?<br> -3+\pi−3+π
vampirchik [111]

Answer:

Irrational

Step-by-step explanation:

I hoped this helped, I don't know if it's right

8 0
2 years ago
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