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3 years ago

Type the correct answer in each box. Round your answers to the nearest integer.

Mathematics

2 answers:

QveST [7]3 years ago

5 0

Did you ever find the awnser

Over [174]3 years ago

3 0

Answer:

(1) 92.92 unit (2) 500 unit²

Step-by-step explanation:

(1) Perimeter of the given hexagon ABCDEF will be

= Sum of length of all sides

= AB + BC + CD + DE + EF + FA

= $10+(\sqrt{10^{2}+10^{2}})+\sqrt{10^{2}+10^{2}}+10+\sqrt{20^{2}+10^{2}}+\sqrt{20^{2} +10^{2} }$

= $20+10\sqrt{2} +10\sqrt{2}+10+10\sqrt{(2+1)}+10\sqrt{(2+1)}$

= $(30+20\sqrt{2}+20\sqrt{3})$

= 30 + 28.28 + 34.64

= 92.92 unit

(2) Area of hexagon = Area of ΔAEF + Area of rectangle ABDE + Area of ΔBCD

= $\frac{1}{2} (20)(20)+(20)(10)+\frac{1}{2}(20)(10)$

= 200 + 200 + 100

= 500 unit²

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17) Solve the system as matrix equations using inverses. 17) A company produces three models of MP3 players, models A, B, and C.

Vinvika [58]

Answer:

Model A=30, Model B: 20, Model C: 45

Step-by-step explanation:

Let x be the amount of type A mp3 produced, and the amount of model B mp3's produced and z the amount of model C mp3 produced.

Since in total there are 303 hours for electronics work, then:

$3.2x+5.4y+2.2z=303$

Since in total there are 393 hours for assembly, then:

$2.8x+2.4y+5.8z=393$

Since in total there are 416 hours for quality assurance, then:

$4.4x+3.4y+4.8z=416$

Then, the linear system associated to the problem is

$3.2x+5.4y+2.2z=303\\2.8x+2.4y+5.8z=393\\4.4x+3.4y+4.8z=416$

with coefficient matrix $A=\left[\begin{array}{ccc}3.2&5.4&2.2\\2.8&2.4&5.8\\4.4&3.4&4.8\end{array}\right]$ and vector of constant terms $b=\left[\begin{array}{ccc}303\\393\\416\end{array}\right]$

Since the determinant of A is equal to 36.704 then A is invertible.

Then for solve the system $Ax=b$ , is enough find the inverse of A and operate

$Ax=b\\A^{-1}Ax=A^{-1}b\\x=A^{-1}b$

Using Octave we obtain that

$A^{-1}=\left[\begin{array}{ccc}-0.22&-0.50 &0.71\\0.33&0.15&-0.34\\-0.028& 0.35&-0.20\end{array}\right]$

Then

$x=A^{-1}b=\left[\begin{array}{ccc}30\\20\\45\end{array}\right]$

This means that 30 mp3's of model A, 20 of model B and 45 of model C must be produced

8 0

3 years ago

Answer correctly asap don’t troll!!!

Bogdan [553]

Answer:

yes

Step-by-step explanation:

it just needs to have three sides

7 0

3 years ago

Eight out of 21 instruments in the band are woodwinds. If there are 63 instruments in the band, how many more are not woodwinds

Zepler [3.9K]

I don't think you need to do anything special for this question. But do be careful how you read it.

Total number of instruments = 63

Number of woodwinds = 21

Number of non woodwinds = 63 - 21 = 42 non woodwinds.

What you have to be careful about is that this is not the answer.

It says how many more .... So now you have to do another subtraction.

Total number more = Number of non woodwinds - woodwinds.

Total number more = 42 - 21

Total number more = 21 <<<< Answer

7 0

3 years ago

Solve the system of equations by substitution 3x+y=9z

poizon [28]

Answer:

x = 1.27

y = 5.18

Step-by-step explanation:

to solve this system of equation by simultaneous equation we say that let

3x+y=9.............................. equation 1

-5x+2y=4 .......................... equation 2

from equation 1

3x+y=9.............................. equation 1

y = 9 -3x.............................. equation 3

substitute the value of y = 9 -3x into equation 2

-5x+2y=4 .......................... equation 2

-5x + 2( 9 -3x) = 4

-5x + 18 - 6x = 4

collect the like terms

18 - 4 = 6x + 5x

14 = 11x

divide both side by 11

14/11 = 11x/11

x = 14/11

x = 1.27

put the value of x = 1.27 into equation 3

y = 9 -3x.............................. equation 3

y = 9 - 3( 1.27)

y = 9 - 3.82

y = 5.18

to check if you are correct put the value of x and y into either equation 1 or equation 2.

3x+y=9.............................. equation 1

3( 1.27) + 5.18 = 9

3.81 + 5.18 = 9

9 = 9

3 0

3 years ago

The formula PV = 300 R is used in chemistry. How can this formula be solved for P

german

P = 300/V

Because in order to isolate P, you have to divide V on both sides.

4 0

3 years ago