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lapo4ka [179]
3 years ago
13

HELP !!!! what is the area of this figure

Mathematics
2 answers:
Naddik [55]3 years ago
6 0

Answer:

1049760

Step-by-step explanation:

Just multiple

This is the answer to this question

dem82 [27]3 years ago
4 0

Answer:

1,049,760

Step-by-step explanation:

9 x 3 = 27

27 x 8 x 3 = 648

648 x 15 x 3 = 29,160

29,160 x 6 x 6 = 1,049,760

Therefore the answer is 1,049,760.

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Let a and b be roots of x² - 4x + 2 = 0. find the value of a/b² +b/a²​
erastovalidia [21]

Answer:

\dfrac{a}{b^2}+\dfrac{b}{a^2}=10

Step-by-step explanation:

Given equation:   x^2-4x+2=0

The roots of the given quadratic equation are the values of x when y=0.

To find the roots, use the quadratic formula:

x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0

Therefore:

a=1, \quad b=-4, \quad c=2

\begin{aligned}\implies x & =\dfrac{-(-4) \pm \sqrt{(-4)^2-4(1)(2)}}{2(1)}\\& =\dfrac{4 \pm \sqrt{8}}{2}\\& =\dfrac{4 \pm 2\sqrt{2}}{2}\\& =2 \pm \sqrt{2}\end{aligned}

\textsf{Let }a=2+\sqrt{2}

\textsf{Let }b=2-\sqrt{2}

Therefore:

\begin{aligned}\implies \dfrac{a}{b^2}+\dfrac{b}{a^2} & = \dfrac{2+\sqrt{2}}{(2-\sqrt{2})^2}+\dfrac{2-\sqrt{2}}{(2+\sqrt{2})^2}\\\\& = \dfrac{2+\sqrt{2}}{6-4\sqrt{2}}+\dfrac{2-\sqrt{2}}{6+4\sqrt{2}}\\\\& = \dfrac{(2+\sqrt{2})(6+4\sqrt{2})+(2-\sqrt{2})(6-4\sqrt{2})}{(6-4\sqrt{2})(6+4\sqrt{2})}\\\\& = \dfrac{12+8\sqrt{2}+6\sqrt{2}+8+12-8\sqrt{2}-6\sqrt{2}+8}{36+24\sqrt{2}-24\sqrt{2}-32}\\\\& = \dfrac{40}{4}\\\\& = 10\end{aligned}

6 0
2 years ago
Read 2 more answers
All else being equal, a study with which of the following error ranges would be the most reliable?
romanna [79]
The answer is C (for APEX).
7 0
3 years ago
Read 2 more answers
Perform the following division. Be sure answers are reduced to lowest terms. 2 7/8 ÷ 1/4 =
sergejj [24]
The answer is:  [D]:  11  1/2  .
___________________________________________________________

Explanation:
___________________________________________________________
 2  7/8 <span>÷ 1/4  =

23/8  </span>÷  1/4 =  23/8 * 4/1 ;  The "4" cancels to a "1"; and the "8"
                                                       cancels to a "2";  (since "8÷4 =2" ;
                                                                                and "4÷4 = 1" ;
__________________________________________________________
  → 23/8 * 4/1 =  23/2  * 1/1   = 23/2  * 1  =  23/2 = 11  1/2 ; 
__________________________________________________________
                                                      → which is:  Answer choice:  [D].
__________________________________________________________ 
4 0
3 years ago
A volleyball reaches its maximum height of 13 feet, 3 seconds after its served. Which of the following quadratics could model th
kykrilka [37]
If it reaches its maximum height a t=3 its velocity must be zero at t=3

dy/dx=0 at t=3

dA/dx=4x+12=24 at t=3 so this does not apply

dB/dx=-4x+12=0 at t=3 and B=13 at t=3 so B applies

dC/dx=-4x-12=-24 at t=3 so this does not apply

dD/dx=-4x-12=-24 at t=3 so this does not apply

dE/dx=-4x-12=-24 at t=3 so this does not apply

So only quadratic B: reaches a maximum height of 13 feet at 3 seconds.
3 0
3 years ago
Read 2 more answers
Find the number of ways to listen to four CDs from a selection of 8 CDs. A) 1680 B) 336 C) 70 D) 50 pls aslo explain why..
777dan777 [17]

Answer:

a) 1680

<em>The number of ways to listen to four CDs from a selection of 8 CDs = 1680</em>

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given data the number of CD' s n = 8

<em>We have to selected '4' CD' s  from total '8' CD's</em>

<em>By using permutations </em>

<em>The number of ways to listen to four CDs from a selection of 8 CDs.</em>

<em>                          =     </em>8_{P_{4} }<em> </em>

<em>  we know that </em>

           n_{P_{r} } = \frac{n!}{(n-r)!}

          8_{P_{4} } = \frac{8!}{(8-4)!} = \frac{8 X 7 X 6 x 5 X 4!}{4!} = 1680

<em>The number of ways to listen to four CDs from a selection of 8 CDs = 1680</em>

7 0
3 years ago
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