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Doss [256]
3 years ago
8

There is 120 ft of fencing available for a project. What would be the dimensions for the garden if the builders attached one sid

e of the fence to the building to make the area as large as possible ?
30x60 ft?
40x40 ft?
50x25 ft?
70x30 ft?
Mathematics
1 answer:
Pavlova-9 [17]3 years ago
5 0

30 x 60

Step-by-step explanation:

the length of the perimeter would be 180, subtract 60ft for the fencing replaced by the wall and you meet the maximum 120ft

30X60 gives you the largest area with 1800ft^2

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Why are oysters greedy
Alika [10]

Answer:

Because they are shell-fish

Step-by-step explanation:

:D

5 0
3 years ago
Which ordered pair is a solution of the equation
faust18 [17]

Answer:

D

Step-by-step explanation:

y - 4 = 7(x - 6)                    Remove the brackets

y - 4 = 7x - 42                    Add 4 to both sides

y = 7x - 42 + 4

y = 7x - 38                  

Note when you put this in slope, y intercept form, the ordered pair is easier to find.

Let x = 5

y = 7*5 - 38

y = 35 - 38

y = -3          (5,4) isn't right

Let x = 6

y = 7*6 - 38

y = 42 - 38

y = 4                 That does not work either.

The answer is D

8 0
3 years ago
The diagram shows the cross-section ABCD of a sculpture in the shape of
zvonat [6]

Answer:

891 cm³

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = Ah ( A is the area of cross- section and h is the height (

The cross- section is a trapezium with area (A) calculated as

A = \frac{1}{2} h ( a + b)

where h is the perpendicular height and a, b the parallel bases

Here h = 9, a = AB = 14 and b = CD = 8 , thus

A = \frac{1}{2} × 9 × (14 + 8) = 4.5 × 22 = 99 cm² , thus

V = 99 × 9 = 891 cm³

8 0
4 years ago
Simplify the following<br> (x^a)^a-2
ad-work [718]

Answer:

Step-by-step explanation:

5 0
2 years ago
How many gallons of 30% alcohol solution and how many of 60% alcohol solution must be mixed to produce 18 gallons of 50% solutio
allochka39001 [22]

Answer:

x = 6 gallons (of 30% alcohol)

y = 12 gallons (of 60% alcohol)

Step-by-step explanation:

Let

x = liters of 30% alcohol

y = liters of 60% alcohol

There are two unknowns, we need two equations

x + y = 18. (1)

0.30x + 0.60y = 0.50(x+y) (2)

From (1)

x + y = 18

y = 18-x

Substitute the value of y into (2) and solve for x:

0.30x + 0.60y = 0.50(x+y)

0.30x + 0.60(18-x) = 0.50(x+18-x)

0.30x + 10.8 - 0.60x = 0.50(18)

10.8 - 0.30x = 9

-0.30x = -1.8

Divide both sides by -0.30

x = 6 gallons (of 30% alcohol)

Substitute x=6 into (1) and solve for y:

x + y = 18

6 + y = 18

y = 12 gallons (of 60% alcohol)

5 0
3 years ago
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