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Alik [6]
3 years ago
6

A landscape designer has to construct a rectangular flower bed with a perimeter of 100 feet and the maximum possible area. What

is the area of the flower bed
Mathematics
1 answer:
Alinara [238K]3 years ago
8 0

9514 1404 393

Answer:

   625 square feet

Step-by-step explanation:

The greatest area of a polygon with a given perimeter is that of a regular polygon. A regular rectangle is one that has all sides the same length -- a square. The side length of a square with 100 ft perimeter is 25 ft. The area of a square with such a side length is

  A = (25 ft)² = 625 ft²

The maximum possible area is 625 ft².

__

In the attached, x is the length of one side. The area versus side length is plotted. The maximum is seen to be 625 ft² for a side length of 25 ft.

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I need help on this question please
stepladder [879]

Answer:

The question does not have value of height (in the image)

the barn in shape of a cuboid with a half cylinder.

volume of barn = volume of cuboid + volume of cylinder/2

\text{Volume}_{barn}=lbh+\frac{\pi r^2 l}{2}

here,

2r = b

b=6 m

l=10 m

so, 2r=6. thus, r=3,

\text{Volume}_{barn}=lbh+\frac{\pi r^2 l}{2} \\ \text{Volume}_{barn}= 60\timesh+\pi \times9 \times 5

which approximately,

141.3+60h

for storing all of the hay

141.3+60h≥600

h≥7.644

so..

check if h is less than 7.644, he would not be able to store all of the barn.

mark brainliest please.

8 0
3 years ago
Arun needs to buy 834 pounds of potting soil to fill a large flowerpot. Potting soil costs $0.60 per pound, including tax. What
ivanzaharov [21]

Answer:

$500.4

Step-by-step explanation:

6 0
3 years ago
In right triangle ABC, A=15°, C=37, and angle C is the right angle. Solve the triangle. Round to the nearest tenth, if necessaar
Mice21 [21]

Answer:

180 degrees

Step-by-step explanation:

The sum of the interior angles of a triangle is 180 degrees. Since angle C is 90 degrees and angle A is 15 degrees Then,

A+B+C=180

15+90+B=180

B=180-90-15

B=75 degrees

Using the sine law,

a/sinA = b/sinB = c/sinC

where a, b, and c are the sides of the triangle,

So,

a/sin15 = 37/sin90

and

b/sin75 = 37/sin90

Simplifying, and solving for a and b, the measure of each side is

a= 9.58 units

b=35.74 units

I hope this helped. I am sorry if you get this wrong.

5 0
3 years ago
2 sin x + V3 = 0<br> i need help answering this
Lady_Fox [76]

Answer:

2 sin x + √3 = 0

2sinx=-√3

sinx=-√3/2

x=sin-¹(-√3/2)(sin-¹ means inverse of sin)

x=-60

7 0
3 years ago
CERTAIN ANSWERS ONLY!!! Please assist me, I will award you brain crown. thank you so much in advance :)
Andrei [34K]

Answer:

See below.

Step-by-step explanation:

  Statements:                                         Reasons:

1) \overline{AB}\cong\overline{CD}; \overline{CE}\cong\overline{AE}                           Given

2) AB=CD;CE=AE                          Definition of Congruence

3) AE+EB=AB;CE+ED=CD      Segment Addition Postulate

4) CE+EB=CD                                   Substitution Property

5) CE+ED=CE+EB                        Transitive Property

6) ED=EB                                           Subtraction Property (of Equality)

7) \overline{ED}\cong\overline{EB}                                          Definition of Congruence

5 0
3 years ago
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