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snow_lady [41]
3 years ago
5

Two rectangles are similar. If the height of the first rectangle is 3 inches, and the height of the second rectangle is 9 inches

, how much longer is the second rectangle's perimeter?
3x as long
6x as long
9x as long
6 inches longer
Mathematics
2 answers:
Dovator [93]3 years ago
7 0
It is 3X as long 
good luck :)

Vikentia [17]3 years ago
4 0
If the rectangles are similar, then all of their linear dimensions
have the same ratio ... length, width, perimeter, diagonal, etc.,
For these two rectangles, anything in the bigger one that you can
measure with a ruler is 3 times as long as the same measurement
in the smaller one.

Their areas will have the square of that ratio.  For these two rectangles,
the area of the bigger one is (3²) = 9 times the area of the smaller one.

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horrorfan [7]

Answer:

C(x) =  $850 - $350x

Monthly Profit =   -500x² + 1550x - 850

x = $1.55

the largest possible monthly profit  = $351.25

Step-by-step explanation:

Given:

Demand equation:

q = -500x + 1200

where, q is the number of users who log on per month

x is the log-on fee you charge

Site maintenance fee =  $10 per month

High-volume access fee =  $0.70 per log-on

Now,

C(x) = $10 + ( $0.70 × q )

or

C(x) = $10 + ( $0.70 × (-500x + 1200) )

or

C(x) = $10 + ( - $350x + 840 )

or

C(x) =  $850 - $350x

Total monthly income = qx

or

Total monthly income = ( -500x + 1200 ) × x

or

Total monthly income = -500x² + 1200x

now,

Profit = Income - cost

or

Monthly Profit =   -500x² + 1200x - ( 850 - 350x )

or

Monthly Profit, P(x) =   -500x² + 1550x - 850

For the largest possible monthly profit

\frac{d\textup{P(x)}}{\textup{dx}} = 0

or

\frac{d(-500x^2+1550x-850)}{\textup{dx}} =0

or

-2 × 500x + 1550 = 0

or

-1000x + 850 = 0

or

x = $1.55

Now,

the largest possible monthly profit will be at x = $1.55

substitute in the function of profit

P(1.55) =   ( -500× 1.55² ) + ( 1550 × 1.55 ) - 850

or

the largest possible monthly profit = - 1201.25 + 2402.5 - 850

or

the largest possible monthly profit  = $351.25

7 0
3 years ago
It takes serina 0.25 hours to drive to school. her route is 16.5 km long. what is serena’s average speed on her drive to school
Lelu [443]
Speed equals distance over time.

16.5 km/ 0.25 hrs= 66 km/hr

Final answer: 66 km/hr
7 0
3 years ago
The 21st, 37th and 56th term of an A.P. are consecutive terms of a G.P. Find the common ratio of the G.P.​
mash [69]

just use what you know about this stuff

(a+36d)/(a+20d) = (a+55d)/(a+36d)

(a+36d)^2 = (a+55d)(a+20d)

a^2+72ad+1296d^2 = a^2+75ad+1100d^2

3ad = 196d^2

3a = 196d

That is, for any value of n,

a=196n

d=3n

So, there is no unique solution.

If n=1, then a=196 and d=3. The terms are

196+20*3 = 256

196+36*3 = 304

196+55*3 = 361

304/256 = 361/304

You can easily verify that it works for any value of n.

6 0
3 years ago
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Find the value of n so that the expression is a perfect square trinomial and then factor the trinomial.
Anna007 [38]

The correct expression is (a) n = 100; (x + 10)^2

<h3>How to determine the value of n?</h3>

The expression is given as:

x^2 + 20x + n

Take the coefficient of x

k = 20

Divide by 2

k/2= 10

Square both sides

(k/2)^2 = 100

The above value represents the value of n

i.e.

n = 100

So, we have:

x^2 + 20x + 100

Expand

x^2 + 10x + 10x + 100

Factorize

x(x + 10) + 10(x + 10)

Factor out x + 10

(x + 10)^2

Hence, the correct expression is (a) n = 100; (x + 10)^2

Read more about trinomial at:

brainly.com/question/1538726

#SPJ1

7 0
2 years ago
Which process will create a figure that is congruent to the figure shown?<br><br> A , B , C or D ?
Darya [45]
I believe the answer would be B
8 0
3 years ago
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