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3 years ago

What is the diameter of the smallest circle that would enclose 2,000 pennies?

Mathematics

1 answer:

OlgaM077 [116]3 years ago

7 0

Answer: 84.9

Step-by-step explanation:

Model's equation: y=1.11x^2

Since y = 2000

y = 1.11x^2

2000 = 1.11x^2

x^2 = 2000/1.11

x^2 = 1801.8

x = 42.45

Diameter of the smallest circle will be:

= 2x

= 2 × 42.45

= 84.9

You might be interested in

The function h(x) is a transformation of the square root parent function,

Setler [38]

The function h(x) is a transformation of the square root parent function,

f(x)=√x. The function is h(x) A: √x+5.

<h3>What is Transformations?</h3>

Transformations come in the form;

y =√(x-h) +k,

where h is responsible for left-right movements, and k is responsible for up-down movements.

From the graph, we can see that f(x) is simply the parent square root function, √x.

To translate a function right by p units and up by q units, the function becomes

g(x) = f(x -p) +q

(p, q) = (5, 0)

To get h(x), there is a translation of 5 units to the left, which can be represented by a value of h = -5.

h(x) = f(x + 5) +0

h(x) = √(x+ 5)

Hence, The function h(x) is a transformation of the square root parent function, f(x)=√x. The function is h(x) A: √x+5.

Learn more about function here:

brainly.com/question/2253924

#SPJ1

3 0

2 years ago

Ashleigh bought 5 chocolate eggs for $1.00 EACH and a basket for $1.79. How much did she spend?

Ivahew [28]

Answer:

The answer is 6.79 dollars

Step-by-step explanation:

The answer is 6.79 dollars because 5 times 1 (she bought 5 eggs for 1 dollar each) + the added basket 1.79 equals $6.79

8 0

2 years ago

Read 2 more answers

Evaluate f(x)=(2x+1)^2 at -2,-1,0,1 and 2

stiks02 [169]

Answer: at -2=9

at -1= 1

at 0=1

at 1= 9

at 2=25

Step-by-step explanation:

F(x)= (2x + 1)²

at -2

F(x) = (2(-2) + 1)²

= (-4+1)²

=(-3)²

=9.

Same goes with all points

5 0

3 years ago

For each pair of numbers, find a third whole number such that the three numbers form a pythagorean triple.

BabaBlast [244]

Answer:

Part 1) The third whole number is 44

Part 2) The third whole number is 40

Part 3) The third whole number is 25

Step-by-step explanation:

we know that

The Pythagoras theorem states that

In a right triangle

$c^{2} =a^{2} +b^{2}$

where

c is the greater length side

a and b are the legs

Case 1) we have

33,55

step a

Let

$a=33, b=55$

Find the value of c

$c^{2} =a^{2} +b^{2}$

$c^{2} =33^{2} +55^{2}$

$c^{2} =4,114$

$c =64.14$ ------> is not a whole number

step b

Let

$a=33, c=55$

Find the value of b

$b^{2} =c^{2} -a^{2}$

$b^{2} =55^{2} -33^{2}$

$b^{2} =1,936$

$b=44$

Case 2) we have

42,58

step a

Let

$a=42, b=58$

Find the value of c

$c^{2} =a^{2} +b^{2}$

$c^{2} =42^{2} +58^{2}$

$c^{2} =5,128$

$c =71.61$ ------> is not a whole number

step b

Let

$a=42, c=58$

Find the value of b

$b^{2} =c^{2} -a^{2}$

$b^{2} =58^{2} -42^{2}$

$b^{2} =1,600$

$b=40$

Case 3) we have

60,65

step a

Let

$a=60, b=65$

Find the value of c

$c^{2} =a^{2} +b^{2}$

$c^{2} =60^{2} +65^{2}$

$c^{2} =7,825$

$c =88.46$ ------> is not a whole number

step b

Let

$a=60, c=65$

Find the value of b

$b^{2} =c^{2} -a^{2}$

$b^{2} =65^{2} -60^{2}$

$b^{2} =625$

$b=25$

6 0

3 years ago

Nina and 3 friends ate lunch at a cafe. They decided to split the bill evenly. The total bill was $17.84. How much was each pers

postnew [5]

Hello there! Your answer would be: each persons share was $4.46.

Okay, so to solve this divide the total amount by the number of people there. Note that the equation says "Nina and 3 friends" indicating that Nina is one of these people, and there are 3 others, so we have 4 in total.

$17.84 ÷ 4 = $4.46

So, each person paid $4.46. I hope this helped, and have a great rest of your day! :)

7 0

3 years ago