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vovangra [49]
3 years ago
10

Jerry is taking care of a vacant lot in his neighborhood. There are approximately 64 thistle weeds m the local

Mathematics
1 answer:
icang [17]3 years ago
6 0

Answer:

16

Step-by-step explanation:

To be able to find the number of thistles that are in the vacant lot now using the information provided, you have to calculate the 75% of 64 and then, subtract that number from 64:

64*0.75=48

64-48=16

According to this, the answer is that there are 16 thistles in the vacant lot now.

You might be interested in
What is whats the circumference of a diamater of 443 sq inches on a circle
fiasKO [112]
If its diameter is 443 square inches, then its circumference is:

443 π square inches, as C=πd.
8 0
3 years ago
Need help ASAP <br> Integrated math ll
Solnce55 [7]

Answer:

∠ EFH = 112°

Step-by-step explanation:

∠ ACD and ∠ EFH are Alternate exterior angles and are congruent, thus

11x - 20 = 9x + 4 ( subtract 9x from both sides )

2x - 20 = 4 ( add 20 to both sides )

2x = 24 ( divide both sides by 2 )

x = 12

Thus

∠ EFH = 11x - 20 = 11(12) - 20 = 132 - 20 = 112°

7 0
3 years ago
Find the complex factors of the quadratic trinomial x^2 + 8x +17
Naily [24]

Answer: Factoring  x2+8x+17

The first term is,  x2  its coefficient is  1 .

The middle term is,  +8x  its coefficient is  8 .

The last term, "the constant", is  +17

Step-1 : Multiply the coefficient of the first term by the constant   1 • 17 = 17

Step-2 : Find two factors of  17  whose sum equals the coefficient of the middle term, which is   8 .

     -17    +    -1    =    -18

     -1    +    -17    =    -18

     1    +    17    =    18

     17    +    1    =    18

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step

1

:

 x2 + 8x + 17  = 0

STEP

2

:

Parabola, Finding the Vertex:

2.1      Find the Vertex of   y = x2+8x+17

Parabolas have a highest or a lowest point called the Vertex .   Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) .   We know this even before plotting  "y"  because the coefficient of the first term, 1 , is positive (greater than zero).

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two  x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.

For any parabola,Ax2+Bx+C,the  x -coordinate of the vertex is given by  -B/(2A) . In our case the  x  coordinate is  -4.0000  

Plugging into the parabola formula  -4.0000  for  x  we can calculate the  y -coordinate :

 y = 1.0 * -4.00 * -4.00 + 8.0 * -4.00 + 17.0

or   y = 1.000

Parabola, Graphing Vertex and X-Intercepts :

Root plot for :  y = x2+8x+17

Axis of Symmetry (dashed)  {x}={-4.00}

Vertex at  {x,y} = {-4.00, 1.00}  

Function has no real rootsvSolving   x2+8x+17 = 0 by Completing The Square .

Subtract  17  from both side of the equation :

  x2+8x = -17

Now the clever bit: Take the coefficient of  x , which is  8 , divide by two, giving  4 , and finally square it giving  16

Add  16  to both sides of the equation :

 On the right hand side we have :

  -17  +  16    or,  (-17/1)+(16/1)

 The common denominator of the two fractions is  1   Adding  (-17/1)+(16/1)  gives  -1/1

 So adding to both sides we finally get :

  x2+8x+16 = -1

Adding  16  has completed the left hand side into a perfect square :

  x2+8x+16  =

  (x+4) • (x+4)  =

 (x+4)2

Things which are equal to the same thing are also equal to one another. Since

  x2+8x+16 = -1 and

  x2+8x+16 = (x+4)2

then, according to the law of transitivity,

  (x+4)2 = -1

We'll refer to this Equation as  Eq. #2.2.1  

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

  (x+4)2   is

  (x+4)2/2 =

 (x+4)1 =

  x+4

Now, applying the Square Root Principle to  Eq. #2.2.1  we get:

  x+4 = √ -1

Subtract  4  from both sides to obtain:

  x = -4 + √ -1

In Math,  i  is called the imaginary unit. It satisfies   i2  =-1. Both   i   and   -i   are the square roots of   -1

Since a square root has two values, one positive and the other negative

  x2 + 8x + 17 = 0

  has two solutions:

 x = -4 + √ 1 •  i

  or

 x = -4 - √ 1 •  i

6 0
2 years ago
Read 2 more answers
The circle with center O has a minor arc BSA with a length of
tangare [24]

Answer:

D. \frac{27\pi}{2} inches.

Step-by-step explanation:

We have been given that the circle with center O has a minor arc BSA with a length of 3\pi^{2} inches. The central angle is 40°.

To find the circumference of circle we will use formula:

\frac{\text{Central angle}}{2\pi}=\frac{\text{Arc length}}{2\pi r}, where 2\pi= measure of 360 degrees in radians and 2\pi r= circumference of circle.  

Let us convert measure of central angle into radians.                        

40^{o}=\frac{40*\pi}{180} =\frac{2\pi}{9}

Upon substituting our given value in the formula we will get,        

\frac{\frac{2\pi}{9}}{2\pi}=\frac{\frac{3\pi}{2}}{2\pi r}

\frac{2\pi}{18\pi}=\frac{3\pi}{4\pi r}    

\frac{1}{9}=\frac{3}{4r}      

Cross multiplying we will get,      

4r=27  

r=\frac{27}{4}

Hence, the radius of our circle is 27/4 inches.  

Since the circumference of circle is 2\pi r. Upon substituting  r=\frac{27}{4} we will get,

2\pi r=2\pi* \frac{27}{4}=\frac{27\pi}{2}

Therefore, circumference of our given circle will be \frac{27\pi}{2} inches and option D is the correct choice.

6 0
3 years ago
Many has 48 feet of wood he wants to use all of it to create a border around a garden. The equation 2l+2w=48 can be used to find
lord [1]
2L + 2W = 48 

L= 15 feet

substitute the given value to the formula provided.

2(15) + 2W = 48

multiply 2 by 15

30 + 2W = 48

use the subtraction property of equality to cancel the value 30 on the left side. 

30 - 30 + 2W = 48 - 30

cancel 30 on the left side leaving 2W while subtract 30 from 48.

2W = 18

divide both sides to get the value of the width.

2W/2 = 18/2

W = 9ft     this is the final answer.

5 0
3 years ago
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