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VMariaS [17]
3 years ago
10

Please help me! Find the answer and earn 10 points

Mathematics
1 answer:
zavuch27 [327]3 years ago
4 0

Answer:

384 square m

Step-by-step explanation:

As per description given in the question, the field is of parallelogram shape. Diagonal divides the parallelogram in two triangles

So, area of field = area of triangle 1 + area of triangle 2

Area of field

= 1/2*32 * 10 + 1/2 * 32 * 14

= 32* 5 + 32 * 7

= 32(5 + 7)

= 32 * 12

= 384 square m

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A family wants to build a rectangular garden on one side of a barn. If 600 feet of fencing is available to use, then what is the
vovangra [49]

Answer: (A) A=300l-l^{2}

               (B) Length varies between 1 and 150

               (C) Largest area is 22500ft²

Step-by-step explanation: Suppose length is l and width is w.

The rectangular garden has perimeter of 600ft, which is mathematically represented as

2l+2w=600

Area of a rectangle is calculated as

A=lw

Now, we have a system of equations:

2l+2w=600

A=lw

Isolate w, so we have l:

2w=600-2l

w = 300 - l

Substitute in the area equation:

A = l(300 - l)

A = 300l - l²

(A) <u>Function of area in terms of length is given by </u><u>A = 300l - l²</u>

(B) The practical domain for this function is values between 1 and 150.

(C) For the largest area, we need to determine the largest garden possible. For that, we take first derivative of the function:

A' = 300 - 2l

Find the values of l when A'=0:

300 - 2l = 0

2l = 300

l = 150

Replace l in the equation:

w = 300 - 150

w = 150

Now, calculate the largest area:

A = 150*150

A = 22500

<u>The largest area the fence can enclose is </u><u>22500ft².</u>

4 0
3 years ago
8n + 12 - 5n = 21<br> n=?
insens350 [35]

Answer:

n=3

Step-by-step explanation:

Simplifying

8n + 12 + -5n = 21

Reorder the terms:

12 + 8n + -5n = 21

Combine like terms: 8n + -5n = 3n

12 + 3n = 21

Solving

12 + 3n = 21

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-12' to each side of the equation.

12 + -12 + 3n = 21 + -12

Combine like terms: 12 + -12 = 0

0 + 3n = 21 + -12

3n = 21 + -12

Combine like terms: 21 + -12 = 9

3n = 9

Divide each side by '3'.

n = 3

Simplifying

n = 3

5 0
3 years ago
Read 2 more answers
Seventh grade
alexandr402 [8]

Answer:

$690.86

Step-by-step explanation:

100% from the original cost is: 2 x 863.57 = $1,727.14

40/100 = X/1727.14 (40 percent is what of 1,727.40) (%/100 = is/of)

(40 * 1,727.14) / 100 = $ 690.86

6 0
2 years ago
Nine negative third power in standard form
Andre45 [30]

Answer:

9^-3=    .0013717421

Step-by-step explanation:

6 0
3 years ago
Mrs. Parker takes 12 minutes to bake 4 tortillas. At this same rate, Mrs. Parker will take minutes to bake 24 tortillas.
loris [4]

Answer:

72 mins

Step-by-step explanation:

12/4=3 tortillas per min

3 x 24 = 72 min to bake 24 tortillas

Hope this helps :D

6 0
2 years ago
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