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zmey [24]
2 years ago
12

Please help!!:

Mathematics
1 answer:
LenKa [72]2 years ago
5 0

Answer:

B

Step-by-step explanation:

I just took test

please make me Brainliest

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A fence is to be built to enclose a rectangular area of 240 square feet. The fence along three sides is to be made of material t
aniked [119]

Answer:

18.97 \text{ and }12.65\text{ft}

Step-by-step explanation:

GIVEN: A fence is to be built to enclose a rectangular area of 240 square feet. The fence along three sides is to be made of material that costs 6 dollars per foot, and the material for the fourth side costs 12 dollars per foot.

TO FIND: Find the dimensions of the enclosure that is most economical to construct.

SOLUTION:

Area of rectangular fence =240\text{ sq. ft}

let the length of fence =x

let the width of fence =y

let x be the smaller side

Area of rectangular fence enclosure =xy

xy=240

y=\frac{240}{x}

cost of fence along three sides =6 \text{ dollars per feet}

cost of fence along fourth side =12 \text{ dollars per feet}

length of fence =2x+2y

cost of fence building =6(2x+y)+12y

                                     =12x+18y

putting value of y

                                     =12x+18\times\frac{240}{x}

                                     =12x+4320x^{-1}

to find minimum value differentiating the equation

                                   12-\frac{4320}{x^{2} }=0

                                   x^{2} =\frac{4320}{12}

                                   x^{2} =360

                                   x=18.97\text{ft}

                                   y=12.65\text{ft}

Hence the dimensions of the enclosure that is most economical to construct are 18.97\text{ft} and 12.65\text{ft}

8 0
3 years ago
Each edge of a cube measures 12.1 in.<br><br> What is the surface area of the cube?
REY [17]
878.46 in. is your answer! Hope this helps!
8 0
3 years ago
Ken has 4.66 pounds of walnuts, 2.1 pounds of cashews, and 8 pounds of peanuts. He mixes them together and divides them equally
Nat2105 [25]
7.20 pounds in each... IM SRRY IF WRONG
5 0
3 years ago
Which inequality is represented by the graph?
blsea [12.9K]

Answer:

B: 4/5x -2y ≥ 3

Step-by-step explanation:

The first thing I always look for is the y-intercept which in this case is around -1.5 (-1\frac{1}{2}). That will be your constant (b) in y = mx + b. Then calculate the slope which will be your m in the equation. Visually, I would estimate it is around \frac{2}{5}. So now, your equation is y = \frac{2}{5}x -1 \frac{1}{2\\}. Next we want to figure out what the inequality will be. The shaded part is underneath the line, which means that y must be less than where the line is. Therefore the inequality will be y ≤ \frac{2}{5}x -1 \frac{1}{2\\}.

Now in this question, the answers available are not in this form. The next step would be to multiply every part of the inequality by 2 (it is essential that all parts are multiplied) so that you get 2y ≤  \frac{4}{5}x -3. The last step is to rearrange the inequality so that it matches the answers on the question.

3 ≤  \frac{4}{5}x - 2y

\frac{4}{5}x - 2y ≥ 3

7 0
3 years ago
In the figure, Δ ABC Δ XYZ. What is the perimeter of ΔABC? Show your work.
slava [35]

Answer:

49

Step-by-step explanation:

∆ABC~ ∆XYZ

AB= 11 that is half of XY = 22

therefore XZ/2 = AC (base) = 32/2 = 16

and YZ /2 = BC(hypotenuse) = 44/2 = 22

(a= 11, b= 16, c= 22)

perimeter of a triangle

P = a+b+c

P= 11+16+22= 49

8 0
3 years ago
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