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vladimir2022 [97]
3 years ago
11

[(3x^4)-(6x^2)-(5)]/x^3 divide the x^3 into the polynomial

Mathematics
1 answer:
gregori [183]3 years ago
5 0
The given poly. has 3 terms.  You may divide each one by x^3, one at a time.
For example, 3x^4 divided by x^3 equals 3x.  That's the first term of your answer.

Next, divide x^3 into -6x^2.  Writing this out, we get       -6x^2
                                                                                        ---------
                                                                                            x^3

The larger power of x is in the denominator, so the fraction reduces to 

-6
------
   x

This is your second term.

Try finding the 3rd term (that is, the 3rd quotient).

Write out your final answer in this format:

3x - 6/x - [  ?  ]
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Find the area of the shaded segment of the circle.
vredina [299]

Answer:

Around 5.5 square meters

Step-by-step explanation:

You can start by finding the area of the segment. Since the rest of the circle that is not in the segment is 240 degrees, the segment is 120 degrees or a third of the circle. You can therefore find the area of that segment with the formula \frac{1}{3} \pi r^2 =3\pi square meters. Now, you need to find the area of the triangle inside the sector. This is more difficult than last time, because it is not a 90 degree angle. However, you can solve this by dividing this triangle into two 30-60-90 triangles, which you know how to find the ratio of sides for. In a 30-60-90 triangle, the hypotenuse is twice the length of the smallest leg, and the larger leg is \sqrt{3} times larger than the smaller leg. In this case, these dimensions are a base of \frac{3}{2} for the smaller leg and \frac{3\sqrt{3}}{2} for the larger leg, or the base. Using the triangle area formula and multiplying by 2 (because remember, we divided the big triangle in half), you get \frac{9\sqrt{3}}{4} square meters. Subtracting this from the area of the segment, you get about 5.5 square meters. Hope this helps!

5 0
3 years ago
PLZ HELP! WILL GIVE BRAINLIEST!
Maurinko [17]

Answer:

6×10^{26}

Step-by-step explanation:

Exponent are added when multiplied while constants are multiplied.

5 0
4 years ago
The perimeter of the triangle is 37 cm. The lengths of the triangle are 3x, 2(x+4) and 2x+1. What is the value of x?
enot [183]

Answer:

4

Step-by-step explanation:

3x + 2(x + 4) + 2x+1 = 37                    Remove the brackets.

3x + 2x + 8 + 2x + 1 = 37                   Collect like terms

7x + 9 = 37                                         Subtract 9 from both sides

7x + 9-9 = 37 - 9                                Combine

7x = 28                                               Divide by 7

7x / 7 = 28/7

x = 4  

5 0
3 years ago
Richard and Teo have a combined age of 37. Richard is 4 years older than twice​ Teo's age. How old are Richard and​ Teo?
valkas [14]

Answer:

Teo is 11 years old and Richard is 26 years old.

Step-by-step explanation:

Let R be the age of Richard and T be the age of Teo.

<u><em>First set up the equations:</em></u>

The combined age of Teo and Richard is 37:

R+T=37

Richard is four years old than twice Teo's age:

R=2T+4

<u><em>Then, solve the equations:</em></u>

Substitute (2) to (1) and solve for T:

(2T+4)+T=37

3T=11

T=11

Solve for R using (2):

R=2(11)+4

R=22+4

R=26

5 0
4 years ago
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