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Natalija [7]
3 years ago
5

A square has a side that measures 5.5 units. What is the area of a circle with a circumference that equals the perimeter of the

square? Use 3.14 for π, and round your answer to the nearest hundredth. 38.47 units2 94.99 units2 153.86 units2 379.94 units2

Mathematics
1 answer:
jonny [76]3 years ago
7 0

Step-by-step explanation:

here first you have to find the perimeter of square

given that perimeter of circle is equal to perimeter of square,,,,, therefore with the perimeter of square you have to find the radius of the circle.....

now you have the radius of the circle so by applying the formula of area of circle the answer will be finded

Please follow

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Function g is a transformation of the parent function f(x) = x2. The graph of g is a translation right 5 units
Allisa [31]

Answer:

  C.  y = x^2 -10x +26

Step-by-step explanation:

The translated function is ...

  g(x) = f(x - right) + up

  g(x) = f(x -5) +1

  g(x) = (x -5)^2 +1

  g(x) = x^2 -10x +26

In "y =" form, this is ...

  y = x^2 -10x +26 . . . . matches choice C

6 0
3 years ago
You have an ice cream scoop with a 2-inch diameter. You have an ice cream cone with a 2-inch diameter and a height of 5 inches.
IRISSAK [1]

Answer:

Since the volume of the cone is bigger than the volume of the scoop, it won't spill.

Step-by-step explanation:

In order to calculate if the ice cream will spill we will need to calculate the volume on the ice cream scoop and the volume of the cone. If the volume of the scoop is bigger than the cone it will spill.

volume scoop = (4/3)*pi*r³ = (4/3)*pi*(2/2)³ = 4.1888 in³

volume cone = (pi*r²*h)/3 = [pi*(2/2)²*5]/3 = 5.236 in³

Since the volume of the cone is bigger than the volume of the scoop, it won't spill.

4 0
3 years ago
Identify the property shown by the equation.
IceJOKER [234]

7 + (5 + 8) = (7 + 5) + 8 is showing associative property as it is in the form a + (b + c) = (a + b) + c.

Given: To identify the property for the following:

7 + (5 + 8) = (7 + 5) + 8

What are the different types of properties?

1. Commutative Property: Given two numbers a and b, then

a + b = b + a where a, b are some real numbers.

Note: It is commutative on the binary operator of addition (+).

2. Associative Property: Given three numbers a, b and c, then

(a + b) + c = a + (b + c) where a, b and c are some real numbers

Note: It is associative on the binary operator of addition (+).

3. Identity Property: Given some real number a. Then there exist some number (say for instance 1) within the real domain such that a ×  1 =  a.

For this demonstration above 1 is the identity element.

4. Distributive Property: Given three numbers a, b and c, then

a × (b + c) = a × b + a × c, where a, b and c are some real numbers.

Note: It is distribute over the binary operator of addition  (+) and multiplication (×)

So, for the given question: 7 + (5 + 8) = (7 + 5) + 8, it is in the form of

a + (b + c) = (a + b) + c, which shows the associative property over the binary operator of addition.

Hence 7 + (5 + 8) = (7 + 5) + 8 is associative.

Know more about "properties of equation" here: brainly.com/question/5637942

#SPJ9

5 0
1 year ago
A closed box with a square base is to have a volume of 85. 75 cm^3. the material for the top and bottom of the box costs ​$3.00
tiny-mole [99]

We can create two equations here:

(1) Volume = area of square * height of box

85.75 = s^2 h

(2) Cost = 3 * area of square + 1.5 * area of side box

C = 3 s^2 + 1.5 s h

 

From (1), we get:

h = 85.75 / s^2

 

Combining this with (2):

C = 3 s^2 + 1.5 s (85.75 / s^2)

C = 3 s^2 + 128.625 s-

 

Taking the 1st derivative and equating dC/ds = 0:

dC/ds = 6s – 128.625 / s^2 = 0

Multiply all by s^2:

6s^3 – 128.625 = 0

6s^3 = 128.625

s = 2.78 cm

 

So h is:

h = 85.75 / s^2 = 85.75 / (2.78)^2

h = 11.10 cm

 

So the dimensions are 2.78 cm x 2.78 cm x 11.10 cm

 

The total cost now is:

C = 3 (2.78)^2 + 1.5 (2.78) (11.10)

C = $69.47

8 0
3 years ago
There are 7 yellow, 5 green, and 3 blue party hats in a bag. you randomly choose a yellow party hat and put it on. then your fri
ehidna [41]
7 yellow, 5 green, 3 blue...total of 15

P(yellow party hat) = 7/15
do not replace
P(yellow hat) = 6/14

P(both) = 7/15 * 6/14 = 42/210 which reduces to 1/5 or 0.2 or 20%
8 0
3 years ago
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