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Luba_88 [7]
3 years ago
5

Suppose you are making a model of a boat. The boat is 720 inches long. If you are using the scale 1 inch : 15 inch, find the len

gth of the model.
Mathematics
2 answers:
shutvik [7]3 years ago
5 0

Answer:

48:720

Step-by-step explanation:

pishuonlain [190]3 years ago
3 0

Answer:

48 iches

Step-by-step explanation:

720/15 = 48

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jenna's rectangular garden borders a wall. she buys 80 ft of fencing. what are the dimensions of the garden that will maximize i
FrozenT [24]

Answer:

The  dimensions are x =20 and y=20 of the garden that will maximize its area is 400

Step-by-step explanation:

Step 1:-

let 'x' be the length  and the 'y' be the width of the rectangle

given Jenna's buys 80ft of fencing of rectangle so the perimeter of the rectangle is    2(x +y) = 80

                         x + y =40

                               y = 40 -x

now the area of the rectangle A = length X width

                                                  A = x y

substitute 'y' value in above A = x (40 - x)

                                              A = 40 x - x^2 .....(1)

<u>Step :2</u>

now differentiating equation (1) with respective to 'x'

                                      \frac{dA}{dx} = 40 -2x     ........(2)

<u>Find the dimensions</u>

<u></u>\frac{dA}{dx} = 0<u></u>

40 - 2x =0

40 = 2x

x = 20

and y = 40 - x = 40 -20 =20

The dimensions are x =20 and y=20

length = 20 and breadth = 20

<u>Step 3</u>:-

we have to find maximum area

Again differentiating equation (2) with respective to 'x' we get

\frac{d^2A}{dx^2} = -2

Now the maximum area A =  x y at x =20 and y=20

                                        A = 20 X 20 = 400

                                         

<u>Conclusion</u>:-

The  dimensions are x =20 and y=20 of the garden that will maximize its area is 400

<u>verification</u>:-

The perimeter = 2(x +y) =80

                           2(20 +20) =80

                              2(40) =80

                              80 =80

8 0
3 years ago
Workout the area of the quarter of a circle with a radius of 8
QveST [7]

Answer:

16\pi

Step-by-step explanation:

We need to find 1/4 of the area of a circle with a radius of 8

Let r be radius

Area of a circle = r^{2} \pi

Substitute r with 8

Area of a circle = 8^2\pi =64\pi

Now, to find 1/4 of the area, we can create an equation \frac{64\pi }{4}={16\pi

The answer is 16\pi

Hope this helps :)

Have a spectacular day!

3 0
2 years ago
Read 2 more answers
HELPPP PLEASE A large pizza costs $17.99. A second large pizza 1/4 off. Using an estimate, approximately how much will it cost f
Sedbober [7]
Idek I had the same question
3 0
3 years ago
Rewrite each expression by combining like terms.
Evgesh-ka [11]

Answer:

5y-2xy

6q-6

Step-by-step explanation:

For the first expression, we can multiply 5 by y to get 5y. Thats all we can simplify it though, because xy is not equal to x or y.

For the second equation, we can easily add the variables to simplify. 6q-6

Hope this helps!

4 0
3 years ago
Read 2 more answers
Which of the following statements is not true?
scoundrel [369]

Answer:

it is 12

Step-by-step explanation:

because the square root of 12 is 3.46410162

can you select me to be brainlyest

3 0
3 years ago
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