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san4es73 [151]
3 years ago
15

In order to make a circular sign, you decide to use a square piece of plywood and trim off as little of the area as possible. Wr

ite a simplified formula for A, the least possible area of wood that you will not use, given that one edge of the square has length W?

Mathematics
1 answer:
andrezito [222]3 years ago
8 0
The area of the square is W^2

The area of the circle will be PI * radius^2
where the radius = (W/2)
So, the circle area = PI * (W/2)^2 = PI * (W^2 /4)

If square has a 12 inch side its area is 144 square inches.
The circle would be PI * (144 / 4) = PI * 36 =
<span> <span> <span> 113.0973355292 </span> </span> </span> square inches

So, A = (W^2) - (PI * (W^2 / 4)


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The square on the right is a scaled copy of the square on the left. Identify the scale factor. Express your answer in simplest f
zhannawk [14.2K]

Answer:

x = 21/8

Step-by-step explanation:

So 8 is being multiplied by something to get to 21

So 8x = 21

Solve for x:

  • 8x = 21
  • x = 21/8

-Chetan k

7 0
2 years ago
A company sells boxes of duck calls (d) for $35 and boxes of turkey calls (t) for $45. they make batches of duck calls that fill
SIZIF [17.4K]

Answer:

Option A is the correct choice.

Step-by-step explanation:

Let d be the number of boxes of duck calls and t be the number of boxes of turkey calls.

We have been given that a company sells boxes of duck calls for $35 and boxes of turkey calls (t) for $45, so the revenue earned from selling d boxes of duck and t boxes of turkey call will be 35d and 45t respectively.

Further, the company plan to make $300. We can represent this information as:

35d+45t=300...(1)

We are also told that they make batches of duck calls that fill 6 boxes and batches of turkey calls that fill 8 boxes. the company only has 42 boxes. We can represent this information as:

6d+8t=42...(2)

6d=42-8t...(2)

Therefore, our desired system of equation will be:

35d+45t=300...(1)

6d=42-8t...(2)  


8 0
3 years ago
If h(x) = (fºg)(x) and h(x)= 5(x+1)^3 find one possibility for f (x) and g(x).
viktelen [127]

Answer:

One possibility is that;

g(x) = (x + 1)

while h(x) = 5x^3

Step-by-step explanation:

Here, we are told to find one possibility for f(x) and g(x)

The term h(x) = (Fog)(x) means that we are inserting g(x) into f(x) to give h(x)

Now let’s have it this way;

We can see that g(x) = (x + 1) , then h(x) = 5x^3

This is one possibility of the values of g(x) and h(x)

6 0
3 years ago
6x4/8x7/9 what is the answer and have to solve it
telo118 [61]

Answer:

6\cdot 4\div 8\cdot 7\div 9= 21/9

Step-by-step explanation:

Follow PEMDAS and Order of Operations

7 0
3 years ago
Read 2 more answers
Write a recursive rule and an explicit rule for the<br> sequence<br> 3,7,11,15
m_a_m_a [10]

Answer:

The Recursive formula for the sequence is:

aₙ = aₙ₋₁ + d

The Explicit formula for the sequence is:

a_n=4n-1

Step-by-step explanation:

Given the sequence

3,7,11,15

Here:

a₁ = 3

computing the differences of all the adjacent terms

7 - 3 = 4, 11 - 7 = 4, 15 - 11 = 4

The difference between all the adjacent terms is the same and equal to

d = 4

We know that a recursive formula basically defines each term of a sequence using the previous term(s).

The recursive formula of the Arithmetic sequence always involves the first term.

a₁ = 3

We know that, in the Arithmetic sequence, every next term can be obtained by adding the common difference and the preceding term.

so

The recursive formula of the sequence is:

aₙ = aₙ₋₁ + d

substitute n = 2 to find the 2nd term

a₂ = a₂₋₁ + d

a₂ = a₁+ d

substitute a₁ = 3 and d = 4

a₂ = 3 + 4

a₂ = 7

Thus, the recursive formula for the sequence 3,7,11,15 is:

aₙ = aₙ₋₁ + d

<u>An explicit rule for the sequence</u>

Given the sequence

3,7,11,15

We already know that

a₁ = 3

d = 4

An arithmetic sequence has a constant difference 'd' and is defined by  

a_n=a_1+\left(n-1\right)d

substituting a₁ = 3 and d = 4

a_n=4\left(n-1\right)+3

a_n=4n-4+3

a_n=4n-1

Therefore, an explicit rule for the  sequence

a_n=4n-1

6 0
2 years ago
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