MATHEMATICS COLLEGE

Suppose a square garden represented by 16x² ft2.a. What is the length of each side?
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b. What is the perimeter of the garden?
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c. If each side was increased by 5 feet what would be the new perimeter?
Suppose a square garden represented by 16x² ft2. a. What - 1

Answers

Answer 1
Answer:

a) The length of each side of a square garden is 4 feet.

b) The perimeter of square garden is 16 feet.

c) The perimeter of new square garden is 36 feet.

Given that, a square garden represented by 16x² ft².

The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.

a) We know that, the area of a square is a², where a is side of a square.

Here, a²=16

a=4 feet

Therefore, the length of each side of a square garden is 4 feet.

b) The perimeter of the garden=4×side

= 4×4

= 16 feet

So, the perimeter is 16 feet.

c) If each side was increased by 5 feet, the each side of new square is 4+5=9 feet

So, the new perimeter is 4×side

= 4×9

= 36 feet

So, the perimeter of new square garden is 36 feet.

Hence,

a) The length of each side of a square garden is 4 feet.

b) The perimeter of square garden is 16 feet.

c) The perimeter of new square garden is 36 feet.

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Answer 2
Answer:

Answer:

882 ft

Step-by-step explanation:

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What is the premieter of this red polygon

Answers

Answer:

  338 in

Step-by-step explanation:

If each of the measures shown is the measure from the vertex to the point of tangency, then that measure contributes twice to the perimeter (once for each leg from the vertex to a point of tangency).

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Holmes Junior High has 125 more students than Harper Junior High. When the two schools are merged there will be 579 students. How many students currently attend each school?

Answers

Answer: 454

Step-by-step explanation: Holmes has 125, Merged there is 579, 579-125 = 454 :) easy subtraction

Sum of series 1 +1/3 +1/3².... is?​

Answers

Answer:

The sum of the series is 3/2

Step-by-step explanation:

Given

1 + 1/3 + 1/3^2 + ....

Required

The sum of the series

This implies that we calculate the sum to infinity.

We have:

a = 1 -- The first term

First, calculate the common ratio (r)

r = (1)/(3^2) / (1)/(3)

Change to product

r = (1)/(3^2) * (3)/(1)

Solve

r = (1)/(3)

The sum of the series is then calculated as:

S_(\infty) = (a)/(1 - r)

S_(\infty) = (1)/(1 - 1/3)

Solve the denominator

S_(\infty) = (1)/(2/3)

Express as product

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Simplify \sqrt{25a^2}

Answers

Final Answer: 5a

Explanation:

Sure! Let's simplify this step by step.

Given \sqrt{25a^2}

Step 1: Recognize that the given expression \sqrt{25a^2} represents the square root of 25 times the square of 'a'.

Step 2: Break down the expression into two parts. We have a perfect square (25) and a square term (a^2). We can separate these inside the root as follows:

\sqrt{25} * \sqrt{a^2}

Step 3: Simplify \sqrt{25}. Since 25 is a perfect square, its square root is 5. Also, simplify  \sqrt{a^2}. The square root of a^2 is 'a'.  Now, we have:

5 * a

Therefore, the simplified form of \sqrt{25a^2} is 5a.

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Answer:

Step-by-step explanation:

Sqrt(25a^2)

Sqrt((5a)^2)

5a

prove that if f is a continuous and positive function on [0,1], there exists δ > 0 such that f(x) > δ for any x E [0,1] g

Answers

Answer:

I dont Know

Step-by-step explanation:

Four less than a number is at least negative six.A
x−4≤−6


B
x−4≥−6


C
6x−4>−6


D

x−4<−6
HELPPPPPPP



100!!!! POINTS

Answers

Answer:

A x< of 6

Step-by-step explanation:
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