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lidiya [134]
3 years ago
12

I would appreciate it if someone could help answer this problem:)

Mathematics
1 answer:
leonid [27]3 years ago
5 0

Answer:

sum of exterior angles of a polygon=360

Step-by-step explanation:

4x+2x+x+4+x+4x+2=360

12x+6=360

2x+1=60

x=59/2

29.5

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Select the two binomials that are factors of this trinomial.
const2013 [10]

\huge{ \mathfrak{ \underline{question  : }}}

Select the two binomials that are factors of this trinomial.

x_2 + 8x + 12

\huge{ \mathfrak{  \underline{Answer   : }}}

  • {x}^{2}  + 8x + 12

  • {x }^{2}  + 6x + 2x + 12

  • x (x + 6) + 2(x + 6)

  • (x  + 2)(x + 6)

We got the factors as :

A. \: (x + 6)

and

D. \:  (x + 2)

\#TeeNForeveR

7 0
3 years ago
George has $49 which he decides to spend on x and y. commodity x costs $5 per unit and commodity y costs $11 per unit. he has th
FromTheMoon [43]

We are given the equations:

<span>5 x + 11 y = 49                    --> eqtn 1</span>

<span>u = 3 x^2 + 6 y^2               --> eqtn 2</span>

 

Rewrite eqtn 1 explicit to y:

11 y = 49 – 5 x

<span>y = (49 – 5x) / 11               --> eqtn 3</span>

 

Substitute eqtn 3 to eqtn 2:

u = 3 x^2 + 6 [(49 – 5x) / 11]^2

u = 3 x^2 + 6 [(2401 – 490 x + 25 x^2) / 121]

u = 3 x^2 + 14406/121 – 2940x/121 + 150x^2/121

u = 4.24 x^2 – 24.3 x + 119.06

Derive then set du/dx = 0 to get the maxima:

du/dx = 8.48 x – 24.3 = 0

solving for x:

8.48 x = 24.3

x = 2.87

 

so y is:

y = (49 – 5x) / 11 = (49 – 5*2.87) / 11

y = 3.15

 

Answer:

<span>George will choose some of each commodity but more y than x.</span>

7 0
3 years ago
(7-4n) x 6= I need the answer as quick as possible
Paraphin [41]

Answer:

42 - 24n

Step-by-step explanation:

(7-4n)  6

Distribute

7*6 - 4n*6

42 - 24n

4 0
3 years ago
Read 2 more answers
Kimora’s cell phone company charges her $35 a month for phone service plus $.05 for each text message sent. How many text messag
professor190 [17]

Given that Kimora’s cell phone company charges her $35 a month for phone service plus $.05 for each text message sent.

Kimora's cell phone bill for one month is $52.

We need to determine the number of text messages Kimora sent for one month.

Also, we need to write and equation and solve it.

<u>The equation:</u>

Let x denote the number of text messages Kimora sent for one month.

Thus, the equation is given by

35+0.05x=52

Therefore, the equation for the number of text messages Kimora sent for one month is 35+0.05x=52

<u>Solving the equation:</u>

We need to solve the equation 35+0.05x=52

Subtracting both sides of the equation by 35, we get;

0.05x=17

Dividing both sides of the equation by 0.05, we get;

x=340

Therefore, the number of messages sent is 340.

3 0
3 years ago
On average during the summer, a 30,000 cubic foot house costs $7 per day to cool, while a 25,000 cubic foot house costs $6.50 pe
Ber [7]

The house with 30000 cubic foot costs less to cool per cubic foot than the house with 25000 cubic foot.

Step-by-step explanation:

The cost of cooling 30000 cubic foot house = $7

Cost per cubic foot = 7/30000

=$0.00023

The cost of cooling 25000 cubic foot house= $6.50

Cost per cubic foot=6.50/25000

= $0.00026

The house with 30000 cubic foot costs less to cool per cubic foot than the house with 25000 cubic foot.

3 0
3 years ago
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