Preston measured the button on his shirt. Then he calculated that it has an area of 50.24 square millimeters. What is the button's diameter?

Answers

Answer 1
*note: for this problem you have to round a few values. I rounded to 2 decimal places, but your answer could be different if you have to round to more/less than 2 decimal places

Answer: Diameter = 8 millimeters


Buttons are circles, so we will use the formula for area of a circle:

A = πr^2

We are solving for the diameter, which is 2 times the radius:

d = 2r

So now we plug in what we know.
The area A = 50.24 square millimeters, therefore we plug it in and simplify:

50.24 square millimeters = πr^2

50.24/π = r^2

15.99 = r^2

squareroot(15.99) = r

r = 4 millimeters

Now we use the radius to calculate the diameter.

r = 4 millimeters

d = 2r

d = 2(4)

diameter = 8 millimeters

Related Questions

A right triangle has side lengths that are consecutive integers and a perimeter of 12 feet. What are the
angles of the triangle?
А. 30°, 60° and 90°
B. 33.47°, 56.53° and 90°
C. 36.87°, 53.13° and 90°
D. 40.16°, 49.84° and 90°

Answers

Answer:

option c

Step-by-step explanation:

Let the sides of the right angled triangle = x , (x +1) , (x +2)

Perimeter = 12 feet

x + x +1 + x + 2 = 12

x +x + x + 1+2 = 12

Combine like terms

3x+  3 = 12

Subtract 3 from both sides

3x = 12- 3

3x = 9

Divide both sides by 3

x = 9/3

x = 3

x + 1 = 3 + 1 = 4

x + 2 = 3 + 2 = 5

The sides of the triangle are 3 , 4 ,5

The biggest side will be the hypotenuse.

So, hypotenuse = 5 ft. other legs are 3 and 4

[tex]\text {Sin \ $\theta$ = $\dfrac{opposite \ side \ of \ \theta}{hypotenuse}$ } \\\\\\ = \dfrac{4}{5}\\\\\\Sin \ \theta = 0.8\\\\\theta = Sin^{-1} \ 0.8\\\\\theta = 53.13 \ ^\circ[/tex]

another angle = 180 - [ 90 + 53.13]

                        = 180 - 143.13

                         = 36.87°


The total weight of a delivery truck is equal to the weight of the empty truck plus
the weight of the packages. The truck weighs 8,200 lb when empty.
Write an equation that shows how to use the total weight of the truck to
find the weight of the packages. Show your work.

Answers

The weight of the package is an illustration of a linear function

The total weight of the package is p = 8200 - T

How to determine the total weight of the package?

The given parameter is:

Weight of empty truck = 8200 lb

Represent the total weight of the truck with T, and the weight of the package with p.

So, we have:

T = 8200 + p

Make p the subject

p = 8200 - T

Hence, the total weight of the package is p = 8200 - T

Read more about linear equations at:

https://brainly.com/question/4074386

7 is less than y by 5.Find y.​

Answers

Answer:

12

Step-by-step explanation:

If 7 is less then y by 5, you add 5 to 7

7 + 5 = 12

resulting in y equaling 12

12 - 5 = 7

Find the 70th term of the following arithmetic sequence.
17, 20, 23, 26,

Answers

Answer:

Since it starts at 17 and is increasing by 3 each time, the 70th term will be:

17 + 3(70) =

17 + 210 =
227

In conclusion, 227 would be the 70th term in the sequence.




Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Step-by-step explanation:

Tn = a + (n - 1)d

n = 70, a = 17, d = > 20 - 17 => 3

T_70 = 17 + (70 - 1)3

T_70 = 17 + 69•3

T_70 = 17 + 207

T_70 = 224

Select the correct answer.
Ron is currently wary of investing in hardware dedicated for his data warehouse. He prefers using system software to connect to different types
of data stores. Which data warehouse is Ron using?
OA. distributed
ОВ.
LAN based
О С.
virtual
OD. multistage
О Е
stationary

Answers

The data warehouse that Ron, who is currently using system software to connect to different types of data stores, but is not investing in dedicated hardware is C. virtual.

What is a virtual data warehouse?

A virtual data warehouse includes a set of separate databases.  These separate databases can be queried together, enabling Ron to effectively access all the data as if it was stored in one data warehouse.

A virtual data warehouse is not like a distributed, LAN-based, multistage, or stationary data warehouse.

In the case of a distributed data warehouse, there is a conglomeration of separate components connected via a network.

Thus, the data warehouse that Ron, who is currently using system software to connect to different types of data stores, but is not investing in dedicated hardware is C. virtual.

Learn more about data warehouses at https://brainly.com/question/25885448

Answer:

C. Virtual

Step-by-step explanation:

Bernie bought five 30 L buckets of lawn fertilizer. How much fertilizer did he have in all?

Answers

Answer:

5 × 30 L = 150 L

______________

how do you write a solution set when there are infinite solutions​

Answers

Answer:

it depends

Step-by-step explanation:

sometimes a teacher will accept "there are infinite solutions" but if  you cant you may need to do something else(this applies to basically everything)

for an example lets use x=1

(1,+infinity)

or

(1,-infinity)

(this is being graphed.)  (this may not apply to everything)

i hope this helps

Which expression represents the product of b and 18?
A. 18(b-18)
B. 18+b
C. 18/b
D. 18b

Answers

Answer:

You're answer is D.18b

Hey there!

The product of a number and 18 means you multiply that number times 18; the result is called the product.

When we multiply a number times a variable, we always write the number before the variable.

For example, we multiply 4 times d, and the result is 4d.

Let's check the options and see if we can spot something like "5a"

The first option:  we multiply 18 times the difference of b and 18.

The second option: we add 18 and b

The third option: we divide 18 by b

The fourth option: we multiply 18 times b (That's the right option! We did it  :)

Hence, the answer is

[tex]\boxed{\boxed{\bold{18b}}}[/tex]

Hope everything is clear.

Let me know if you have any other questions; if so, please comment.

#LearningDoesn'tEnd

#LearningIsFun

[tex]\rule{200}{2}[/tex]

rounded to the nearest hundredth how many meters are in 32 ft (1 m = 3.28)​

Answers

Answer:

9.76 M

Step-by-step explanation:

32/3.28

9.756097561

9.76

For 1-6, classify each triangle by its sides and then by its angle

Answers

Answer:

1) right angled triangle

2) isosceles triangle

3) equilateral triangle

4) scalen triangle

5) isosceles triangle

6) right angled triangle

Convert the unit of length. Round the answer to one decimal place if necessary. 180 cm ≈ _____ ft
180 cm ≈ _____ft ?

Answers

Answer:

that would be the circumference of  the circle

= 2 pi  r

= 2 * pi * 2

=  6.28 feet   to 2 DP's.

Step-by-step explanation:

Answer:

6 ft

Step-by-step explanation:

Convert the unit of length. Round the answer to one decimal place if necessary. 180 cm ≈ _____ ft

[tex]Ft=\frac{cm}{30.48}\\\\Ft=\frac{180}{30.48}\\\\Ft=5.90551181\\\\Ft\approx 6[/tex]

180 cm ≈ 6 ft

Hope this helps!

Are these two triangles congruent?
A) SSS
B) SAS
C) Not Congruent
D) Other

I’ve tried different answers. Can someone please tell me what I’m missing? Thanks in advance.

Answers

Answer:

The angles are not congruent

Step-by-step explanation:

This is because the two triangles show angle angle angle and that does not prove triangle congruency.

Enter the distance, in units, between point A and point B

(Don’t sent me links pls

Answers

Answer:

1

Step-by-step explanation:

The distance between A to B is 1 unit

Answer is 345 make an equation from 100, 10, 3, 4, 5, 2, 1

Answers

Answer: 10 × 3 + 4 + 5 × 2 + 1 + 3 × 100 = 345

What is the area of this cross section of this rectangular prism? Enter your answer in the box.

Answers

Hello, it seems your figure hasn't uploaded correctly. Are you able to try again?

Find x on the triangle geometry please help

Answers

Answer:

[tex]\sf x=7\sqrt{6}[/tex]

Step-by-step explanation:

As the base angles of the triangle are the same, then the legs of the right triangle are also equal.  Therefore, we can use Pythagoras' Theorem to calculate x.

Pythagoras' Theorem:  a² + b² = c²

(where a and b are the legs, and c is the hypotenuse of the right triangle)

Given:

a = 7√3b = 7√3c = x

Substituting the given values into the formula:

[tex]\sf \implies (7\sqrt{3})^2+(7\sqrt{3})^2=x^2[/tex]

[tex]\sf \implies147+147=x^2[/tex]

[tex]\sf \implies x^2=294[/tex]

[tex]\sf \implies x=\sqrt{294}[/tex]

[tex]\sf \implies x=\sqrt{49 \cdot 6}[/tex]

[tex]\sf \implies x=\sqrt{49}\sqrt{6}[/tex]

[tex]\sf \implies x=7\sqrt{6}[/tex]

[tex]\\ \rm\Rrightarrow cos\theta=\dfrac{Base}{Hypotenuse}[/tex]

[tex]\\ \rm\Rrightarrow cos45=\dfrac{7\sqrt{3}}{x}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1}{\sqrt{2}}=\dfrac{7\sqrt{3}}{x}[/tex]

[tex]\\ \rm\Rrightarrow x=7\sqrt{3}\sqrt{2}[/tex]

[tex]\\ \rm\Rrightarrow x=7\sqrt{6}[/tex]

PLEASE HELP ME
A triangle has one angle that measures 29 degrees, one angle that measures 131 degrees, and one angle that measures 20 degrees.

What kind of triangle is it?

Answers

Answer:

obtuse angled triangle

Step-by-step explanation:

one angle is more than 90

A laptop computer is purchased $1500. After each year , the resale value decreases by 25%. What will the resale value be after 5 years ? Round to the nearest dollar

Answers

If you decrease 1500 by 25%, 5 times, you come up with 355
After 5 years of being decreased by 25% the resale price will be $355

Three and one fifth of 1 1/2 is what number?

Answers

Answer:

3 1/5 = 16 / 5

1 1/2 = 3 / 2

16 / 5 * 3 / 2 = 48 / 10 = 24 / 5

The correct answer is 24 / 5 = 4 4 /5

(You can check on your calculator)

Need help with this geometric question ASAP, Thank you

Answers

Because LP squared plus PM squared must equal LM therefore LP cannot be less.

Function or not
x y
12 7
3 -2
-2 3
9 8
-12 12

Answers

Answer:

function

Step-by-step explanation:

x coordinates don't repeat

bord ke aussionas 10 feet of string to make 15 beaded bracelets. She needs binches of string for each Pracelde. Does she have enough string to make all the bracelets? Explain. (1 foot 12 inches).

hi can u show me the math but not in the word form thanks ​

Answers

Answer:

10x12=120 inches

Step-by-step explanation:

multiply 12 inches by 10 feet

What table represents the relationship “A video game designer makes $35 per hour”? A 2-column table with 3 rows. Column 1 is labeled hours with entries 35, 70, 105. Column 2 is labeled Dollars with entries 1, 2, 3. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled Dollars with entries 35, 40, 45. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled Dollars with entries 36, 37, 38. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled Dollars with entries 35, 70, 105.

Answers

Answer:

d

Step-by-step explanation:

The Pythagorean theorem states that a² + b² = c² for a right triangle with leg lengths, a and b, and hypotenuse length, c.

The hypotenuse of a right triangle is 5 units long and has the points (3, 0) and (0, 4) as end points. One of the legs has length 3.

Use the Point and Segment tools to draw a right triangle at demonstrates the other leg length is 4.

Answers

Answer:

Step-by-step explanation:

Draw the third point at (0, 0). This would make the distance from (3,0) to (0,0) equal to 3, and the distance from (0,4) to (0,0) be 4.

Remington is installing a fence around his
rectangular yard. His yard is 20 feet long
by 45 feet wide. If the fencing he picked
out costs $25 per foot, how much money
will be spent on the fence?

Answers

Answer:

$3,250

Step-by-step explanation:

Find the perimeter of the yard ( the distance around the yard).

A rectangle has two sides of each dimension.

The perimeter is 20 + 20 + 45 + 45 = 130 feet.

Now multiply the total feet by the cost per foot:

130 feet x 25 per foot = $3,250 total.

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer:

x = 6

Step-by-step explanation:

We know that the angles in a triangle add to 180°, so we can add the angles shown in this triangle together, make them equal to 180° and solve for x.

90° + (4x + 3)° + 63° = 180°

90° + 4x° + 3° + 63° = 180°

4x° + 156° = 180°

4x° = 24°

x = 6

So, x = 6. Hopefully, this helped! If you have any further questions, let me know.

The aspect ratio of the television screen is 16:9 and it is 63cm High. What is its width?

Answers

The answer would be 75 width

Convert 12 yards 3 feet and 8 inches into inches

Answers

Answer:

476 inches. i dont know how to do an explanation i just looked it up lol

Answer:

476 inches

Step-by-step explanation:

First convert 12 yards to 36 feet. We know this is the conversion because there are 3 feet in every foot, and 12 times 3 is 36.

We add 36 feet to 3 feet and we get 39 feet. There are 12 inches in a foot, so we do 12 times 39 feet and we get 468 inches.

The we add 468 inches to 8 inches and finally get 476 inches.

Find the value of x + y, given that 9x^2 - 9y^2 = 72 and x - y = 1.5​

Answers

Answer:

 [tex]5\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\boxed{a^{2} -b^{2} = (a +b)(a -b)}[/tex]

9x² -9y²= 72

Factorise:

9(x² -y²)= 72

Divide both sides by 9:

x² -y²= 8

(x +y)(x -y)= 8

Given that x -y= 1.5,

(x +y)(1.5)= 8

Divide both sides by 1.5:

x +y= [tex]5\frac{1}{3}[/tex]

Which of the binomials below is a factor of this expression?

121A^2 - 64B^2

A. 121A + 8B

B. 11A + 8B

C. 121A + 32B

D. 11A + 32B

Answers

Answer: 11A+8B

Step-by-step explanation:

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