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balandron [24]
2 years ago
3

Rewrite each geometry formula using function notation. Use the same variables as the formula in your function. Evaluate each fun

ction when r=5 feet. Do not round; write answers in terms of pi, if necessary. Explain the meaning of the result.
a. Diameter, d=2r
The formula using function notation is _______; The value when r=5 is _______; The diameter of the circle is ______ feet when the radius is ________ feet.

b. Area, A=pi x r^2
The formula using function notation is _______; The value when r=5 is _______; The area of the circle is ______ feet when the radius is ________ feet.

c. Circumference C=2 x pi r

The formula using function notation is _______; The value when r=5 is _______; The Circumference of the circle is ______ feet when the radius is ________ feet.
Mathematics
1 answer:
Anika [276]2 years ago
7 0

Answer:

A) d(r) = 2r

Value when r = 5 is 10 ft.

diameter is 10 ft when the radius is 5ft

B) A(r) = πr²

Value when r = 5 is 25π ft²

Area is 25π ft² when radius is 5 feet

C) C(r) = 2πr

Value when r = 5 is 10π

Circumference is 10π when radius is 5 feet

Step-by-step explanation:

A) Using function notation, since d = 2r

d(r) = 2r

d(5) = 2(5)

d(5) = 10 feet

This means that the diameter is 10 ft when the radius is 5ft

B) Area = πr²

In function notation, its;

A(r) = πr²

When radius is 5 feet,

Area is; A(5) = π(5²) = 25π

It means Area is 25π ft² when radius is 5 feet

C) Circumference is 2πr

In function notation, it's;

C(r) = 2πr

When r = 5 feet,

Circumference is;

C(5) = 2π(5)

C(5) = 10π

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Gordon​ Miller's job shop has four work​ areas, A,​ B, C, and D. Distances in feet between centers of the work areas​ are: A B C
andreev551 [17]

Answer: $600,600

Step-by-step explanation:

Total handling cost :

Workpiece moved * cost * distance

Work area A :

-, (5 × 22 × 900), (9 × 22 × 900), (7 × 22 × 500)

-, 99000, 178200, 77000

Work area B:

-, -, (6 × 22 × 500), (8 × 22 × 200)

-, -, 66000, 35200

Work area C:

-, -, -, (11 × 22 × 600)

-,-,-, 145200

Work area D:

-, -, -, -

Total weekly handling cost :

(99000 + 178200 + 77000 + 66000 + 35200 + 145200)

= $600,600

Kindly check attached picture for more explanation

4 0
2 years ago
Mr. And Mrs. Harper are planning to install a deck and a garden. Help them determine which of the two choices below is most effi
Iteru [2.4K]

Answer:

Plan A

Step-by-step explanation:

To find the better plan, you must find which plan has a bigger area.

First, we're going to find Plan A using the area formula (A = L * W)

A = L * W

A = 18 * 25

A = 450

Now we must find the area of the garden.

A = 9 * 12

A = 108

Add both areas together to get the area of Plan A.

450 + 108 = 558. Plan A has an area of 558 feet.

Second, Now we're going to find Plan B's area using the circle formula and area formula.

To find the area of the deck, use the formula.

A = L * W

A = 16 * 20

A = 320  

Now we will find the area of the garden.

Since the garden is a circle and we are given the radius, we will use the formula A = πr²

A = 3.14 * 5²

A = 3.14 * 25

A = 78.5

Now add both areas together.

78.5 + 320 = 398.5. Plan B has an area of 398.5 feet.

558 > 398.5, so <u>Plan A is more efficient, judging solely on size.</u>

4 0
2 years ago
Which expression is equivalent to the following complex fraction?
sasho [114]

Answer: (D) \frac{y-x}{y+x}

Explanation:

\frac{\frac{1}{x}-\frac{1}{y}}{\frac{1}{x}+\frac{1}{y}}=\frac{\frac{y-x}{xy}}{\frac{y+x}{xy}}=\frac{y-x}{y+x}

Just a note on writing down these expressions: I recommend using parentheses whenever you can to avoid misinterpretation. An expression 1/x-1/y / 1/x+1/y could be interpreted by someone as 1/x-(1/y / 1/x)+1/y, which is a different thing.

6 0
2 years ago
Read 2 more answers
What are the zeros of the function f(x) = x2 + 5x + 5 written in simplest radical form? Quadratic formula: x =
MrMuchimi
To solve this problem you must apply the proccedure shown below:
 1. You have the following quadratc equation given in thte problem above:
 f(x) = x^2 + 5x + 5&#10;
 2. To solve it, you must apply the quadratic formula, which is:
 x=( -b+ \sqrt{ b^{2}-4ac })  \ /2a&#10;
 3. When you substitute the values into the quadratic formula, you obtain that the answer is:
 x1=( \sqrt{5} -5)/2  \\ x2=( -\sqrt{5} -5)/2
 
 
4 0
2 years ago
Which number line correctly shows 0.8 + 0.3? A number line going from 0 to 1.3 in increments of 0.01. An arrow goes from 1.1 to
steposvetlana [31]

Answer:

the second number line in the second row OR The number line D in the attached image

Step-by-step explanation:

Lets start solving the question.

(For ease of understanding each line i have labeled them please see the attachment to relate my explanation)

first read the question it i mentioned that which number line currently shows 0.8+0.3.

After reading the question it is clear that which ever line will represent it will be the addition of 08.+0.3.

here please take a note that we are dealing with a number line hence the sign also matters.

Now lets start analyzing lines one by one.To make it easy i have attached an image where i have labeled the lines as A,B,C,D,E,and F for the ease  of understanding.

so take the first line A into consideration,

its starting from 0.3 and ending at 0 means its decrementing you can also determine it with the direction. any line that originates from the origin and goes to the right shows increment and addition and the lines that originates from origin and goes to the left shows decrement.

so here we can easily all those lines which are showing a leftward directions as it is decrementing and we want a line that increments 0.8+0.3

so now th lines A,B,F and H can be skipped.

We are done with analyzing line A, line B is skipped and now lets start with C.

here the line start from 0 and ends at 0.8 so it cant be the line as 0.8+0.3 yields 0.11.

so line C can't be the correct one.

Now lets consider the next line that is D.

here it starts at 0.8 and ends at 0.11 means exactly showing an increment of 0.3 also its showing a positive directions as its heading to the right.

so this is the line that correctly shows 0.8+0.3.

Now consider line E it cant be the correct line as its showing only 0 to 0.8.

and now the line that will confuse you is line G.

it starts at 0.3 and ends at 0.11 here there is increment of 0.8 though it seems like correct but it cant be the line showing 0.8+0.3 as we have to select the line that originates at 0.8 and shows an increment of 0.3 and not the one which originates at 0.3 and ends at 0.11 showing an increment of 0.8.

Also the question itself is asking 'LINE' and not 'LINES' so you can take such minute things also into Consideration for avoiding any kind of confusion.

I hope this will help  you.

7 0
2 years ago
Read 2 more answers
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