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IgorLugansk [536]
3 years ago
10

A rectangular garden is fenced on three sides with a wall forming the fourth

Mathematics
1 answer:
Sveta_85 [38]3 years ago
4 0

Answer:

The dimensions are 5 m by 20 m.

Step-by-step explanation:

The area = length * width = 100 m^2.

2 times the width +  the length = 30 m.

So we have the equations:

wL = 100

2w + L = 30

From the first equation:

L = 100/w so substituting in the second equation, we have:

2w + 100/w = 30

Multiply through by w:

2w^2 + 100 = 30w

2w^2 - 30w + 100 = 0   Divide by 2:

w^2 - 15w + 50 = 0

(w - 5)(w - 10) =

w = 5 or 10m.

So L =  100/5 or 100/10

= 20 or 10.

As it is rectangular then w = 5 and L = 20.

You might be interested in
The length of a rectangle is 3 less than 2 times its width. The area of the rectangle is 77 squared feet.
larisa86 [58]

Answer:

Let the Width(W) =X feet

then Length(L) = (2X-3)feet

Area of the rectangle (A)=77 square feet

A = L× W

L×W=A

(2X-3) × X = 77

2X²- 3X =77

2X²-3X -77=0

Solving it using the factorization method

2X²-14X+11X-77=0

(2X²-14X)+(11X-77)=0

2X(X-7) + 11(X-7)=0

(2X+11)(X-7) =0

When 2X+11=0

X= -11/2

When X-7=0

X = 7

Therefore X= 7

Width = X feet

= 7feet

The width is 7feet

Length = (2X-3)feet

= (2×7) -3)feet

=(14-3)feet

=11feet

3 0
2 years ago
PLZZZZZZZZZ HELP ASAPPPPPPP
Tamiku [17]

Answer:

the answer is 28 if you multiply if not 30

3 0
2 years ago
rita is make chili the recipe calls for 2 3/4 cups of tomatoes. How many cups of tomatoes,written as a fraction greater than one
Burka [1]
Given:
2 3/4 cups of tomatoes.

Number of cups of tomatoes written as a fraction greater than one.

2 3/4 is a mixed fraction. It is called such because it is a combination of a whole number and a fraction.

To find the number of cups of tomatoes written as fraction greater than 1, we need to convert the mixed fraction into an improper fraction.

Improper fraction is a fraction whose numerator is greater than its denominator.

2 3/4 ⇒ ((2*4)+3)/4 ⇒ (8+3)/4 ⇒ 11/4

11/4 is a fraction greater than one.

4/4 is a fraction that is equal to one.  So, any numerator that is greater than 4 is a fraction that is greater than one. In this case, it is 11/4.
5 0
3 years ago
9m-19=3M+1. M=10/3 can you tell me the answer
lana [24]
Plug in 10/3

9(10/3)-19= 3(10/3)+1

30-19= 10+1

11=11

That is the solution.

I hope this helps!
~kaikers
7 0
3 years ago
Analyze the diagram below and complete the instructions that
Novosadov [1.4K]

9514 1404 393

Answer:

  D.  x = 15; y = 5√3

Step-by-step explanation:

You don't need to know any trig to select the correct answer. You only need to know that the lengths of both sides must be less than the length of the hypotenuse. It is also helpful to know that √3 is about 1.732, so 10√3 ≈ 17.32.

Since x < 10√3, only answer choices A and D are viable.

Since y < 10√3, only answer choice D is viable.

_____

If you want to solve this using trig relations, you can recall that the sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. This means short side y is half the length of the hypotenuse 10√3, so y = 5√3. It also means longer side x is √3 times y, so is x = (5√3)√3 = 5·3 = 15.

  x = 15; y = 5√3

6 0
3 years ago
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