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mina [271]
3 years ago
14

I have lakes with no water, mountains with no stone and cities with no buildings. What am I?

Mathematics
1 answer:
Oksanka [162]3 years ago
4 0

Answer:

map

Step-by-step explanation:

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A rectangular area of 36 f t2 is to be fenced off. Three sides will use fencing costing $1 per foot and the remaining side will
OLga [1]

Answer:

x = 8,49 ft

y  = 4,24  ft  

Step-by-step explanation:

Let  x be the longer side of rectangle   and  y  the shorter

Area of rectangle     =    36 ft²     36  =  x* y   ⇒ y =36/x

Perimeter of rectangle:

P  =  2x   +   2y    for convinience we will write it as    P  = ( 2x + y ) + y

C(x,y)   =  1 * ( 2x  +  y  )  +  3* y

The cost equation as function of x is:

C(x)  =  2x  + 36/x   + 108/x

C(x)  =  2x  + 144/x

Taking derivatives on both sides of the equation

C´(x)  = 2  - 144/x²

C´(x)  = 0         2  - 144/x² = 0       ⇒  2x²  -144 = 0    ⇒  x² =  72

x = 8,49 ft       y  = 36/8.49    y  = 4,24  ft    

How can we be sure that value will give us a minimun

We get second derivative

C´(x)  = 2  - 144/x²      ⇒C´´(x)  = 2x (144)/ x⁴

so C´´(x) > 0

condition for a minimum

7 0
3 years ago
In a class of 100 students, there are 80 girls and 20 boys. twenty (20) are a students, and 12 of the a students are girls. if a
Reptile [31]
Because 20 students are boy and they pick more boys because there are 20 boys students
8 0
3 years ago
The authors of a paper presented detailed case studies to medical students and to faculty at medical schools. each participant w
salantis [7]

Answer:

The question is incomplete. The complete question and its solution is attached below:

4 0
3 years ago
Help me pleasee!!!!!!!!!!!!
tresset_1 [31]

Answer:

Step-by-step explanation:

Angles 1, 2, and 3 are supplementary (they add up to equal 180). If angles 1 and 3 are 20 each, then their sum in 40, making angle 2

180 - 40 = 140. If this central angle is 140 degrees, then the measure of the arc that it cuts off also measures 140 degrees. This is not to be confused with the arc length, which is not even remotely the same thing!

4 0
3 years ago
Your neighbor has decided to enlarge his garden. The garden is rectangular with width 6 feet and length 15 feet. The new garden
Nana76 [90]

Answer:

Original garden: 42 feet

Enlarged garden: 98 feet

Step-by-step explanation:

Perimeter = length (2) + width (2)

<u>Original perimeter:</u>

P = 15(2) + 6(2)

P = 30 + 12

P = 42 feet

In this problem, similar is proportional, so the new garden will be proportional to the old one.

If the original length was 15 and the new length is 35, then 15 would have had to have been multiplied by 2 1/3. That means you need to multiply 6 by 2 1/3, which is 14. That means the dimensions of the enlarged yard is 14 (width) × 35 (length).

<u>Enlarged perimeter</u>

P = 35(2) + 14(2)

P = 70 + 28

P = 98 feet

4 0
3 years ago
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