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skelet666 [1.2K]
3 years ago
8

A rectangular garden 50 feet long and 10 feet wide is enclosed by a fence. To make the garden larger, while using the same fence

, its shape is changed to a square. By how many square feet does this enlarge the garden?
Mathematics
2 answers:
yanalaym [24]3 years ago
5 0

Answer:

The perimeter of the rectangular garden is $2(50+10)=120$ feet. A square with this perimeter has sidelength $120/4=30$ feet. The area of the rectangular garden is $(50)(10)=500$ and the area of the square garden is $(30)(30)=900$, so the area increases by $900-500=\boxed{\text{(D)}\ 400}$.

ivann1987 [24]3 years ago
3 0

The area of the rectangular garden is 50 x 10 = 500 square feet.

The perimeter of the rectangular garden is 50 + 50 + 10 +10 =120 feet.

The perimeter of the square also needs to be 120 because it is using the same amount of fence.

Divide 120 by 4 sides: 120/4 = 30

Each side of the square garden would need to be 30 feet.

The area of a square is Side^2, 30^2 = 900 square feet.

The square is 900 - 500 = 400 square feet more.

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The population of California is approximately 38,040,000. The population of Texas is approximately 26.06 x 10^6 . The population
Salsk061 [2.6K]

Answer:

this is it

Step-by-step explanation:

The population of California is approximately 38,040,000. The population of Texas is approximately 26.06 x 106 . The population of New York State is approximately 1.96 x 107

38,040,000 = 3.804 x 107

26.06 x 106 = 2.606 x 107

Which state has the highest approximate population? Show work and/or Explain.

    NY: 1.96 x 107 = 19,600,000

    TX: 2.606 x 107 = 26,060,000

 CA: 3.804 x 107 = 38,040,000      

California has the highest approximate population.

Find the sum of the approximate population of California and New York State.

     (3.804 x 107) + (1.96 x 107) = (3.804 +1.96) x 107 = 5.764 x 107

Find the difference in the approximate population of Texas and New York State.

    (2.606 x 107) - (1.96 x 107) = 0.646 x 107 = 6.46 x 106

3 0
3 years ago
Which expression is equivalent to 4h ÷ 5? A. 5h/4 B. 45/h C. 54/h D. 4h/5
sweet [91]

Answer:  D. \frac{4h}{5}


Step-by-step explanation:

1. You have the following expression given in the problem above:

4h÷5

2. By definition, two expression are equivalent when they are the same even though they they are written in a different form.

3. Keeping this on mind, you can rewrite the division of those two numbers as a fraction, as you can see below:

\frac{4h}{5}

3. Then,  \frac{4h}{5} is the equivalent expression to 4h ÷ 5.


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3 years ago
A student solving for the acceleration of an object has applied appropriate physics principles and obtained the expression a=a1+
egoroff_w [7]

Answer:

a=\frac{3\times 7}{7}+\frac{12}{7}  (First step for obtaining a common denominator for the two fraction)

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Step-by-step explanation:

\text{Given Expression: }a=a_1+\frac{F}{m}

where,

a is acceleration of an object.(Need to calculate)

a_1=3.00\text{ m/s}^2

F=12.0\text{ Kg.m/s}^2

m=7.00\text{ kg}

\text{Substitute }a_1, \text{ F, and m into expression and we get}

a=3+\frac{12}{7}

Now we will simplify above expression for a

First we make common denominator.

Common denominator is 7. So, we make both denominator 7. We multiply by 7 at top and bottom with 3. We get

a=\frac{3\times 7}{7}+\frac{12}{7}  (First step for obtaining a common denominator for the two fraction)

Now we combine the numerator

a=\frac{21+12}{7}

a=\frac{33}{7}\text{ m/s}^2



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