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eduard
3 years ago
13

Enter and solve a polynomial equation for the situation described.

Mathematics
1 answer:
klasskru [66]3 years ago
7 0

Height = x (This is given)

Length = 5x

Width = 6x

Volume = length × width × height

The equation will be: (5x)(6x)(x) = 1920

simplify:

30x² × (x) = 1920

30x³ = 1920

Divide both sides by 30

x³= 64

x = ∛64

x= 4

If x = height, then, the height is 4cm

5x = length

20cm = length

6x = width

24cm = width


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Step-by-step explanation:

“ -/x/ + 3”

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What is the remainder when the polynomial 6x2+11x−3 is divided by 2x−1?
o-na [289]

Answer: 4

There are three different ways to find the remainder.  Since I don't know which lesson you are working on, I will show you all three methods.

<u>Long Division:</u>

           <u>3x  +  7      </u>

2x - 1 ) 6x² + 11x - 3

       -  <u>(6x²  -  3x)</u>   ↓

                    14x  - 3

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                              4    

<u>Synthetic Division:</u>

2x - 1 = 0   ⇒   x = \frac{1}{2}


\frac{1}{2}   | 6      11     -3

    <u>| ↓       3     7</u>

      6      14    4

<u>Remainder Theorem:</u>

2x - 1 = 0   ⇒   x = \frac{1}{2}

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      = 6(\frac{1}{4}) + \frac{11}{2} - 3

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3 years ago
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posledela
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2 years ago
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What does a=? b=? Angle B=?
Kobotan [32]

Answer:

If you were solving the right triangle, it would be:

m∠A = 46°

m∠B = 44°

m∠C = 90°

AB = 32

BC ≈ 23

AC ≈ 24

Step-by-step explanation:

To solve this right triangle, you can use trigonometric ratios to solve for the sides. To find the angle measures:

m∠A = 46° (given)

m∠B = x

m∠C = 90° (given)

180 - (46 + 90) = x

180 - 136 = x

44 = x

m∠B = 44°

To find the side measures, you can use tangent, sine, cosine, and the Pythagorean Theorem.

Recall that:

tangent = opposite side/adjacent side

sine = opposite side/hypotenuse

cosine = adjacent side/hypotenuse

So:

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BC ≈ 23

tan46 = BC/AC

AC = BC/tan46

AC = (23.01887361...) (tan46)

AC ≈ 24

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2 years ago
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