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2 years ago

Find the measure of angle b

Mathematics

1 answer:

swat322 years ago

5 0

Answer:

130

Step-by-step explanation:

sum of supplementary angle is 180

180-50

130

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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

4 friends equally share half of a pizza how much of the whole pizza does each friend get

Sedbober [7]

1/2 / 4

The formula = keep, change, flip

Keep 1/2
Change the sign: / to ×
Flip 4 to 1/4

That equals 1/2 × 1/4 = 1/16

Answer = 1/16

Hope this helped☺☺

5 0

3 years ago

Read 2 more answers

How is the volume of a prism calculated?

s344n2d4d5 [400]

Answer:

The volume of a prism is calculated by - Multiplying the area of the base by the height.

My answer might not be correct, but at least I tried

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Suppose A and B are independent events if P(A) = 0.4 And P(B) = 0.1, what is P(A'uB)? APEX

Aloiza [94]

For Independent Events, P(A) × P(B) = P(A∩B)

so we have, P(A∩B) = 0.4×0.1 = 0.04

P(A') = 1 - 0.4 = 0.6

This information can be represented on a Venn diagram as shown below

P(A'∪B) means the union of everything that is not A with everything that is B

P(A'∪B) = 0.06 + 0.54 + 0.04 = 0.64

5 0

3 years ago

You eat five slices of bread your friend eats two slices fewer than you write an expression that describes the number of slices

lianna [129]

Answer:

No. Of slices my friend eats = No. Of slices eaten by me - No. Of slices my friend eats fewer than me

= 5 - 2

= 3

Hope this helps!

5 0

3 years ago