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SIZIF [17.4K]
3 years ago
11

Adina has a rectangular garden that measures 9 m wide by 13 m long. She wants to

Mathematics
2 answers:
maks197457 [2]3 years ago
8 0

Answer: 16 m by 12 m.

Step-by-step explanation:

Given: The length of garden l = 13 m

The width of the garden w= 9 m

The area of the rectangular garden is given by :-

\text{Area}=l\times w\\\Rightarrow\text{Area}=13\times9\\\Rightarrow\text{Area}=117\ m^2

It she wants to increase the garden,  the dimensions of the new garden will be (13+x) m by (9+x) m , then according to the question we have :-

(13+x)\cdot(9+x)=192\\\Rightarrow\ 117+x^2+22x=192\\\Rightarrow\ x^2+22x=75\\\Rightarrow\ x^2+22x-75=0\\\Rightarrow\ x^2+25x-3x-75=0\\\Rightarrow\ x(x+25)-3(x+25)=0\\\Rightarrow\ (x+25)(x-3)=0\\\Rightarrow\ x=-25\ x=3

Since, x\neq-25

Hence, x=3

Therefore, the  dimensions of the new garden will be (13+3) m by (9+3) m=16 m by 12 m.

MrRissso [65]3 years ago
6 0
9*13=117
12*16=192

We increased three meters to both the length and width of the garden.
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The market price of an article is Rs 1600 if it is sold for Rs 1472 what is the discount rate ? solve step ny step​
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Step-by-step explanation:

3 0
3 years ago
Please help.. 10 points
Leokris [45]

Answer:

z = 55.15432893

x = 59.61543424

y = 22.5166605

Step-by-step explanation:

To find length "z" you will have to use SOHCAHTOA.

Labelling the triangle will show us that the side marked "z" is the hyp and the side marked 39 is the opp.

sin 45 = \frac{39}{z}

z sin 45 = 39

         z  = \frac{39}{sin45}

         z = 55.15432893

Using Pythagoras' theorem, you can find that the adj = 39

In the other triangles POV, the adj is actually the opp.

Therefore, use tangent to find y.

tan 60 = \frac{39}{adj}

y tan 60 = 39

           y = \frac{39}{tan60}

           y = 22.5166605

Use Pythagoras's Theorem to find x.

23^{2} + 55^{2} = x^{2}\\\sqrt{23^{2} + 55^{2}}  = x\\59.61543424=x

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2 years ago
F<br> (<br> x<br> )<br> =<br> 3<br> x<br> −<br> 12<br> f(x)= <br> 3x−12<br> ​
Nina [5.8K]

The inverse of the given function 3x - 12 is determined as f⁻¹(x) = x/3 + 4.

<h3>What is inverse of a function?</h3>

An inverse of a function is a function that serves to replace another function.

That is, if f(x) produces y, then putting y into the inverse of f produces the 0ut-put x .

Thus, an inverse function or an anti function is defined as a function, which can reverse into another function.

The inverse of the given function; f(x)= 3x − 12 is calculated as follows;

y = 3x - 12

replace y with x and x with y as shown below;

x = 3y - 12

now, solve for y

x + 12 = 3y

divide both sides of the equation by 3

x/3 + 12/3 = 3y/3

x/3 + 4 = y

f⁻¹(x) = x/3 + 4

Thus, the inverse of the given function 3x - 12 is determined as f⁻¹(x) = x/3 + 4.

Learn  more about inverse of a function here: brainly.com/question/3831584

#SPJ1

The complete question is written below:

find the inverse of the function, f(x) = 3x - 12

8 0
1 year ago
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