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FromTheMoon [43]
3 years ago
5

NEED HELP PLEASE AND THANK YOU.

Mathematics
1 answer:
vladimir2022 [97]3 years ago
7 0
The angles are supplementary angles
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Find the Area of the figure below, composed of parallelogram and two semicircles.
Makovka662 [10]

Answer:

622.13 square units

Step-by-step explanation:

Area of the composite figure = area of parallelogram + area of circle

Note: 2 semicircles = 1 full circle

Area of the figure = a*h + πr²

Where,

a = 22

h = 11

r = ½ of 20 = 10

Plug in the value into the equation

Area = 22*11 + π*11²

Area = 242 + π*121

Area = 622.13271108 ≈ 622.13 square units (nearest tenth)

4 0
3 years ago
A town's population is declining at a rate of 4% a year. If the population is currently 23,840 people, what will the population
Lyrx [107]

Using the decay formula: Total = start value x (1 - rate)^time

Total = 23,840 x (1-0.04)^10

Total = 23,840 x (0.96)^10

Total = 15,849.61

Rounded to nearest whole number = 15,850

8 0
3 years ago
Solve the equation x^6+3x^5+x^4-5x^3-6x^2-2x=0 in the real number system
koban [17]
First, pull out a factor of x.

x^6+3x^5+x^4-5x^3-6x^2-2x=x(x^5+3x^4+x^3-5x^2-6x-2)

Notice that when x=-1 (which you can arrive at via the rational root theorem), you have

(-1)^5+3(-1)^4+(-1)^3-5(-1)^2-6(-1)-2=-1+3-1-5+6-2=0

which means you can pull out a factor of x+1. Upon dividing you get

\dfrac{x^5+3x^4+x^3-5x^2-6x-2}{x+1}=x^4+2x^3-x^2-4x-2

The rational root theorem will come in handy again, suggesting that x=-1 appears a second time as a root, which means

\dfrac{x^4+2x^3-x^2-4x-2}{x+1}=x^3+x^2-2x-2

Now this is more readily factored without having to resort to the rational root theorem. You have

x^3+x^2-2x-2=x^2(x+1)-2(x+1)=(x^2-2)(x+1)

so in fact, x=-1 shows up as a root for a third time.

So, you have

x^6+3x^5+x^4-5x^3-6x^2-2x=x(x+1)^3(x^2-2)=0

Two roots are obvious, x=0 and x=-1 (with multiplicity 3). The remaining two are given by

x^2-2=0\implies x^2=2\implies x=\pm\sqrt2
3 0
4 years ago
What Is the area in a triangle 9m 11m?​
anzhelika [568]

Answer:

49.5

Step-by-step explanation:

area of triangle = (b x h) / 2

9 x 11 = 99

99 / 2 = 49.5

Hope this helps!

- profparis

8 0
3 years ago
Which points are on the line that connects points (0, 4) and (1, 2)? Select all that apply.
AVprozaik [17]
The points that connect (0,4) and (1,2) are B, E and F. Please mark Brainliest and Hope this Helps
7 0
3 years ago
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