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romanna [79]
2 years ago
10

Find the degree of the polynomial 5x^3+7x^2-9

Mathematics
1 answer:
Fantom [35]2 years ago
6 0

Answer:

The degree of the polynomial is 3.

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3 years ago
A rectangular prism has a volume of 572 cubic inches. The prism is 4 inches long and 13 inches wide. What is the height of the p
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Answer:

Height of rectangular prism = 11 inches

Step-by-step explanation:

Given that:

Volume of rectangular prism = 572 cubic inches

Length of prism = 4 inches

Width of prism = 13 inches

Volume of prism = Length * Width * Height

572 = 4 * 13 * h

572 = 52h

52h = 572

Dividing both sides by 52

\frac{52h}{52}=\frac{572}{52}\\h=11

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Height of rectangular prism = 11 inches

4 0
3 years ago
Given that the value of x is between 0 and 360 degrees (0 and 360
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Answer:

  • 150° and 210°
  • 0

Step-by-step explanation:

It is convenient to memorize the trig functions of the "special angles" of 30°, 45°, 60°, as well as the way the signs of trig functions change in the different quadrants. Realizing that the (x, y) coordinates on the unit circle correspond to (cos(θ), sin(θ)) can make it somewhat easier.

__

<h3>20.</h3>

You have memorized that cos(x) = (√3)/2 is true for x = 30°. That is the reference angle for the 2nd-quadrant angle 180° -30° = 150°, and for the 3rd-quadrant angle 180° +30° = 210°.

Cos(x) is negative in the 2nd and 3rd quadrants, so the angles you're looking for are

 150° and 210°

__

<h3>Bonus</h3>

  You have memorized that sin(π/4) = √2/2, and that cos(3π/4) = -√2/2. The sum of these values is ...

  √2/2 + (-√2/2) = 0

_____

<em>Additional comments</em>

Your calculator can help you with both of these problems.

The coordinates given on the attached unit circle chart are (cos(θ), sin(θ)).

6 0
2 years ago
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