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Oksana_A [137]
4 years ago
6

In the following series of numbers, please identify the lowest number? 1.7 7 0.7 0.37 17

Mathematics
1 answer:
hodyreva [135]4 years ago
5 0
The lowest number there would be 0.37
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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
3 years ago
What is the length of the longest side of a triangle that has the vertices (-3,2) (3,2) and (3,6)
OleMash [197]

Answer:

Six Units

Step-by-step explanation:

Look at this graph that I made

8 0
3 years ago
Which statement is NOT a step used when constructing an inscribed hexagon?
den301095 [7]

Answer:

Swing two arcs above and below the radius.

Step-by-step explanation:

We want to determine which statement is NOT a step used when constructing an inscribed hexagon?  

1. Swing two arcs above and below the radius. False

2. Draw a radius of the circle using a straightedge.  True

3. Place the compass on the point where the circle and radius intersect. True

4. Swing an arc the length of the radius from the point on the circle. True

The first choice is the correct answer.

3 0
3 years ago
An airplane pilot over the Pacific sights an atoll at an angle of depression of 10°. At this time, the horizontal distance from
Alex17521 [72]
The question was posted incomplete.

This is the part missing:

<span>What is the height of the plane to the nearest meter?

Answer:  559 m.

Explanation:

1) The horizontal distance between the plane and tha atoll makes a right triangle with the height, with the depression angle between the two legs.

2) Therefore, you can use the tangent trigonometric ratio:

tan(10°) = opposite-leg / adyacent-leg = height / horizontal distance

⇒ height = horizontal distance × tan (10°)

⇒ height = 3,172 m × tan(10°) = 559.31 m, which rounded to the nearest m is 559
</span>
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3 years ago
Shoni's initial balance in her checking account is 674.48
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$1068.66

675.48 - 67.32 + 920 - 585 + 125.5 = $1068.66
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3 years ago
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