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3 years ago

4) A garden is in the shape of a square with a perimeter of

Mathematics

1 answer:

Leni [432]3 years ago

7 0

Answer:

It costs $154.88 to build the fences.

Step-by-step explanation:

Perimeter of square = $4 \times Side$

We are given that A garden is in the shape of a square with a perimeter of 56 feet.

So, $4 \times side = 56$

Side = $\frac{56}{4}=14 feet$

So, Side of square park = 14 feet

One fence is around the perimeter of the garden, whereas the second fence is 2 feet from the first fence on the outside.

Outer length = 14+2+2=18 feet

So, Perimeter of outer fence = $4 \times side = 4 \times 18 = 72 feet$

Cost of fencing 1 foot = $1.21

Cost of fencing 56 feet = $56 \times 1.21=67.76$

Cost of fencing 72 feet = $72 \times 1.21=87.12$

Total cost = 67.76+87.12=154.88

Hence It costs $154.88 to build the fences.

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The area of a rectangle has decreased by 2%.

MissTica

Answer:

The other side was decreased to approximately .89 times its original size, meaning it was reduced by approximately 11%

Step-by-step explanation:

We can start with the basic equation for the area of a rectangle:

l × w = a

And now express the changes described above as an equation, using "p" as the amount that the width is changed:

(l × 1.1) × (w × p) = a × .98

Now let's rearrange both of those equations to solve for a / l. Starting with the first and easiest:

w = a/l

now the second one:

1.1l × wp = 0.98a

wp = 0.98a / 1.1l

1.1 wp / 0.98 = a/l

Now with both of those equalling a/l, we can equate them:

1.1 wp / 0.98 = w

We can then divide both sides by w, eliminating it

1.1wp / 0.98w = w/w

1.1p / 0.98 = 1

And solve for p

1.1p = 0.98

p = 0.98 / 1.1

p ≈ 0.89

So the width is scaled by approximately 89%

We can double check that too. Let's multiply that by the scaled length and see if we get the two percent decrease:

.89 × 1.1 = 0.979

That should be 0.98, and we're close enough. That difference of 1/1000 is due to rounding the 0.98 / 1.1 to .89. The actual result of that fraction is 0.89090909... if we multiply that by 1.1, we get exactly .98.

6 0

2 years ago

For all values of x<br> f(x) = 3x + 2<br> Find f-¹(-12)

Novosadov [1.4K]

Answer:

-4.67

Step-by-step explanation:

first find f^-1(x)

let f(x)=y

y=3x+2

3x=y-2

x=y-2/3

Therefore f^-1(x)=x-2/3

Now f^-1(-12)=-12-2/3

=-14/3

=-4.67

8 0

2 years ago

What is the area of the figure?

irga5000 [103]

Answer:

$50.2 \: {units}^{2}$

Step-by-step explanation:

Area of the shaded region = Area of exterior circle with radius (3 +2 = 5) units - Area of interior circle with radius 3 units

$= \pi {(5)}^{2} - \pi {(3)}^{2} \\ \\ = \pi( {(5)}^{2} - {(3)}^{2} ) \\ \\ = 3.14 \times (25 - 9) \\ \\ = 3.14 \times 16 \\ \\ = 50.24\\ \\ \approx 50.2 \: {units}^{2}$

6 0

3 years ago

I need help please!!!!!!

IceJOKER [234]

Ok so the line of symmetry is x=-4
The vertex is (-4,-2)
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The translations are: reflection over the x axis, translated left 4 and down 2

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4 0

3 years ago

What do These symbols mean??

Kitty [74]

Answer:

> greater than

< less than

$\geq$ greater than or equal to

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8 0

2 years ago

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